Nonnegative and compartmental dynamical systems /:
This comprehensive book provides the first unified framework for stability and dissipativity analysis and control design for nonnegative and compartmental dynamical systems, which play a key role in a wide range of fields, including engineering, thermal sciences, biology, ecology, economics, genetic...
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| Hauptverfasser: | , , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton :
Princeton University Press,
©2010.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This comprehensive book provides the first unified framework for stability and dissipativity analysis and control design for nonnegative and compartmental dynamical systems, which play a key role in a wide range of fields, including engineering, thermal sciences, biology, ecology, economics, genetics, chemistry, medicine, and sociology. Using the highest standards of exposition and rigor, the authors explain these systems and advance the state of the art in their analysis and active control design. Nonnegative and Compartmental Dynamical Systems presents the most complete treatment available of system solution properties, Lyapunov stability analysis, dissipativity theory, and optimal and adaptive control for these systems, addressing continuous-time, discrete-time, and hybrid nonnegative system theory. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers, as well as for researchers and graduate students who want to understand the behavior of nonnegative and compartmental dynamical systems that arise in areas such as biomedicine, demographics, epidemiology, pharmacology, telecommunications, transportation, thermodynamics, networks, heat transfer, and power systems. |
| Beschreibung: | 1 online resource (xviii, 605 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 573-597) and index. |
| ISBN: | 9781400832248 1400832241 |
Internformat
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| 245 | 1 | 0 | |a Nonnegative and compartmental dynamical systems / |c Wassim M. Haddad, VijaySekhar Chellaboina, Qing Hui. |
| 260 | |a Princeton : |b Princeton University Press, |c ©2010. | ||
| 300 | |a 1 online resource (xviii, 605 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references (pages 573-597) and index. | ||
| 505 | 0 | |a Cover -- Contents -- Chapter 1. Introduction -- Chapter 2. Stability Theory for Nonnegative Dynamical Systems -- 2.1 Introduction -- 2.2 Lyapunov Stability Theory for Nonnegative Dynamical Systems -- 2.3 Invariant Set Stability Theorems -- 2.4 Semistability of Nonnegative Dynamical Systems -- 2.5 Stability Theory for Linear Nonnegative Dynamical Systems -- 2.6 Nonlinear Compartmental Dynamical Systems -- 2.7 Compartmental Systems in Biology, Ecology, Epidemiology, and Pharmacology -- 2.8 Discrete-Time Lyapunov Stability Theory for Nonnegative Dynamical Systems -- 2.9 Discrete-Time Invariant Set Theorems and Semistability Theorems -- 2.10 Stability Theory for Discrete-Time Linear Nonnegative Dy-namical Systems -- 2.11 Discrete-Time Nonlinear Compartmental Dynamical Systems -- Chapter 3. Stability Theory for Nonnegative and Compartmental Dynamical Systems with Time Delay -- 3.1 Introduction -- 3.2 Lyapunov Stability Theory for Time-Delay Nonnegative Dynamical Systems -- 3.3 Invariant Set Stability Theorems -- 3.4 Stability Theory for Continuous-Time Nonnegative Dynam-ical Systems with Time Delay -- 3.5 Discrete-Time Lyapunov Stability Theory for Time-Delay Nonnegative Dynamical Systems -- 3.6 Stability Theory for Discrete-Time Nonnegative Dynamical Systems with Time Delay -- Chapter 4. Nonoscillation and Monotonicity of Solutions of Nonnegative Dynamical Systems -- 4.1 Introduction -- 4.2 Nonoscillation and Monotonicity of Linear Nonnegative Dynamical Systems -- 4.3 Mammillary Systems -- 4.4 Monotonicity of Nonlinear Nonnegative Dynamical Systems -- 4.5 Monotonicity of Discrete-Time Linear Nonnegative Dynamical Systems -- 4.6 Monotonicity of Discrete-Time Nonlinear Nonnegative Dynamical Systems -- 4.7 Monotonicity of Nonnegative Dynamical Systems with Time Delay -- Chapter 5. Dissipativity Theory for Nonnegative Dynamical Systems -- 5.1 Introduction -- 5.2 Dissipativity Theory for Nonnegative Dynamical Systems -- 5.3 Feedback Interconnections of Nonnegative Dynamical Systems -- 5.4 Dissipativity Theory for Nonlinear Nonnegative Dynamical Systems -- 5.5 Feedback Interconnections of Nonnegative Nonlinear Dy-namical Systems -- 5.6 Dissipativity Theory for Discrete-Time Nonnegative Dynam-ical Systems -- 5.7 Specialization to Discrete-Time Linear Nonnegative Dy-namical Systems -- 5.8 Feedback Interconnections of Discrete-Time Nonnegative Dynamical Systems -- 5.9 Dissipativity Theory for Nonnegative Dynamical Systems with Time Delay -- 5.10 Feedback Interconnections of Nonnegative Dynamical Sys-tems with Time Delay -- 5.11 Dissipativity Theory for Discrete-Time Nonnegative Dynam-ical Systems with Time Delay -- 5.12 Feedback Interconnections of Discrete-Time Nonnegative Dynamical Systems with Time Delay -- Chapter 6. Hybrid Nonnegative and Compartmental Dynamical Systems -- 6.1 Introduction -- 6.2 Stability Theory for Nonlinear Hybrid Nonnegative Dynam-ical Systems -- 6.3 Hybrid Compartmental Dynamical Systems -- 6.4 Dissipativity Theory for Hybrid Nonnegative Dynamical Systems -- 6.5 Specialization to Linear Impulsive Dynamical Systems -- 6.6 Feedback Interconnections of Nonlinear Hybrid Nonnegative Dynamical Systems -- Chapter 7. System Thermodynamics, Irreversibility, and Time Asymmetry -- 7.1 Introduction -- 7.2 Dynamical System Model -- 7.3 Reversibility, Irreversibility, Recoverability, and Irrecoverability -- 7.4 Reversible Dynamical Systems, Volume-Preserving Flows, and Poincar180;e Recurrence -- 7.5 System Thermodynamics -- 7.6 Entropy and Irreversibility -- T$2458. | |
| 520 | |a This comprehensive book provides the first unified framework for stability and dissipativity analysis and control design for nonnegative and compartmental dynamical systems, which play a key role in a wide range of fields, including engineering, thermal sciences, biology, ecology, economics, genetics, chemistry, medicine, and sociology. Using the highest standards of exposition and rigor, the authors explain these systems and advance the state of the art in their analysis and active control design. Nonnegative and Compartmental Dynamical Systems presents the most complete treatment available of system solution properties, Lyapunov stability analysis, dissipativity theory, and optimal and adaptive control for these systems, addressing continuous-time, discrete-time, and hybrid nonnegative system theory. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers, as well as for researchers and graduate students who want to understand the behavior of nonnegative and compartmental dynamical systems that arise in areas such as biomedicine, demographics, epidemiology, pharmacology, telecommunications, transportation, thermodynamics, networks, heat transfer, and power systems. | ||
| 588 | 0 | |a Print version record. | |
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| 650 | 7 | |a Differentiable dynamical systems |2 fast | |
| 700 | 1 | |a Chellaboina, VijaySekhar, |d 1970- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJcR9MDCRCBJmDJ3wdPYT3 |0 http://id.loc.gov/authorities/names/n00012282 | |
| 700 | 1 | |a Hui, Qing, |d 1976- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjqDJRMyWp4DpdjHw6j6cd |0 http://id.loc.gov/authorities/names/n2009037431 | |
| 758 | |i has work: |a Nonnegative and compartmental dynamical systems (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGgKBT64c4pxdtD4DVKY8C |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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| author | Haddad, Wassim M., 1961- Chellaboina, VijaySekhar, 1970- Hui, Qing, 1976- |
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| contents | Cover -- Contents -- Chapter 1. Introduction -- Chapter 2. Stability Theory for Nonnegative Dynamical Systems -- 2.1 Introduction -- 2.2 Lyapunov Stability Theory for Nonnegative Dynamical Systems -- 2.3 Invariant Set Stability Theorems -- 2.4 Semistability of Nonnegative Dynamical Systems -- 2.5 Stability Theory for Linear Nonnegative Dynamical Systems -- 2.6 Nonlinear Compartmental Dynamical Systems -- 2.7 Compartmental Systems in Biology, Ecology, Epidemiology, and Pharmacology -- 2.8 Discrete-Time Lyapunov Stability Theory for Nonnegative Dynamical Systems -- 2.9 Discrete-Time Invariant Set Theorems and Semistability Theorems -- 2.10 Stability Theory for Discrete-Time Linear Nonnegative Dy-namical Systems -- 2.11 Discrete-Time Nonlinear Compartmental Dynamical Systems -- Chapter 3. Stability Theory for Nonnegative and Compartmental Dynamical Systems with Time Delay -- 3.1 Introduction -- 3.2 Lyapunov Stability Theory for Time-Delay Nonnegative Dynamical Systems -- 3.3 Invariant Set Stability Theorems -- 3.4 Stability Theory for Continuous-Time Nonnegative Dynam-ical Systems with Time Delay -- 3.5 Discrete-Time Lyapunov Stability Theory for Time-Delay Nonnegative Dynamical Systems -- 3.6 Stability Theory for Discrete-Time Nonnegative Dynamical Systems with Time Delay -- Chapter 4. Nonoscillation and Monotonicity of Solutions of Nonnegative Dynamical Systems -- 4.1 Introduction -- 4.2 Nonoscillation and Monotonicity of Linear Nonnegative Dynamical Systems -- 4.3 Mammillary Systems -- 4.4 Monotonicity of Nonlinear Nonnegative Dynamical Systems -- 4.5 Monotonicity of Discrete-Time Linear Nonnegative Dynamical Systems -- 4.6 Monotonicity of Discrete-Time Nonlinear Nonnegative Dynamical Systems -- 4.7 Monotonicity of Nonnegative Dynamical Systems with Time Delay -- Chapter 5. Dissipativity Theory for Nonnegative Dynamical Systems -- 5.1 Introduction -- 5.2 Dissipativity Theory for Nonnegative Dynamical Systems -- 5.3 Feedback Interconnections of Nonnegative Dynamical Systems -- 5.4 Dissipativity Theory for Nonlinear Nonnegative Dynamical Systems -- 5.5 Feedback Interconnections of Nonnegative Nonlinear Dy-namical Systems -- 5.6 Dissipativity Theory for Discrete-Time Nonnegative Dynam-ical Systems -- 5.7 Specialization to Discrete-Time Linear Nonnegative Dy-namical Systems -- 5.8 Feedback Interconnections of Discrete-Time Nonnegative Dynamical Systems -- 5.9 Dissipativity Theory for Nonnegative Dynamical Systems with Time Delay -- 5.10 Feedback Interconnections of Nonnegative Dynamical Sys-tems with Time Delay -- 5.11 Dissipativity Theory for Discrete-Time Nonnegative Dynam-ical Systems with Time Delay -- 5.12 Feedback Interconnections of Discrete-Time Nonnegative Dynamical Systems with Time Delay -- Chapter 6. Hybrid Nonnegative and Compartmental Dynamical Systems -- 6.1 Introduction -- 6.2 Stability Theory for Nonlinear Hybrid Nonnegative Dynam-ical Systems -- 6.3 Hybrid Compartmental Dynamical Systems -- 6.4 Dissipativity Theory for Hybrid Nonnegative Dynamical Systems -- 6.5 Specialization to Linear Impulsive Dynamical Systems -- 6.6 Feedback Interconnections of Nonlinear Hybrid Nonnegative Dynamical Systems -- Chapter 7. System Thermodynamics, Irreversibility, and Time Asymmetry -- 7.1 Introduction -- 7.2 Dynamical System Model -- 7.3 Reversibility, Irreversibility, Recoverability, and Irrecoverability -- 7.4 Reversible Dynamical Systems, Volume-Preserving Flows, and Poincar180;e Recurrence -- 7.5 System Thermodynamics -- 7.6 Entropy and Irreversibility -- T$2458. |
| ctrlnum | (OCoLC)559739934 |
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| discipline | Mathematik |
| format | Electronic eBook |
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Haddad, VijaySekhar Chellaboina, Qing Hui.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Princeton :</subfield><subfield code="b">Princeton University Press,</subfield><subfield code="c">©2010.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xviii, 605 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 573-597) and index.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Cover -- Contents -- Chapter 1. Introduction -- Chapter 2. Stability Theory for Nonnegative Dynamical Systems -- 2.1 Introduction -- 2.2 Lyapunov Stability Theory for Nonnegative Dynamical Systems -- 2.3 Invariant Set Stability Theorems -- 2.4 Semistability of Nonnegative Dynamical Systems -- 2.5 Stability Theory for Linear Nonnegative Dynamical Systems -- 2.6 Nonlinear Compartmental Dynamical Systems -- 2.7 Compartmental Systems in Biology, Ecology, Epidemiology, and Pharmacology -- 2.8 Discrete-Time Lyapunov Stability Theory for Nonnegative Dynamical Systems -- 2.9 Discrete-Time Invariant Set Theorems and Semistability Theorems -- 2.10 Stability Theory for Discrete-Time Linear Nonnegative Dy-namical Systems -- 2.11 Discrete-Time Nonlinear Compartmental Dynamical Systems -- Chapter 3. Stability Theory for Nonnegative and Compartmental Dynamical Systems with Time Delay -- 3.1 Introduction -- 3.2 Lyapunov Stability Theory for Time-Delay Nonnegative Dynamical Systems -- 3.3 Invariant Set Stability Theorems -- 3.4 Stability Theory for Continuous-Time Nonnegative Dynam-ical Systems with Time Delay -- 3.5 Discrete-Time Lyapunov Stability Theory for Time-Delay Nonnegative Dynamical Systems -- 3.6 Stability Theory for Discrete-Time Nonnegative Dynamical Systems with Time Delay -- Chapter 4. Nonoscillation and Monotonicity of Solutions of Nonnegative Dynamical Systems -- 4.1 Introduction -- 4.2 Nonoscillation and Monotonicity of Linear Nonnegative Dynamical Systems -- 4.3 Mammillary Systems -- 4.4 Monotonicity of Nonlinear Nonnegative Dynamical Systems -- 4.5 Monotonicity of Discrete-Time Linear Nonnegative Dynamical Systems -- 4.6 Monotonicity of Discrete-Time Nonlinear Nonnegative Dynamical Systems -- 4.7 Monotonicity of Nonnegative Dynamical Systems with Time Delay -- Chapter 5. Dissipativity Theory for Nonnegative Dynamical Systems -- 5.1 Introduction -- 5.2 Dissipativity Theory for Nonnegative Dynamical Systems -- 5.3 Feedback Interconnections of Nonnegative Dynamical Systems -- 5.4 Dissipativity Theory for Nonlinear Nonnegative Dynamical Systems -- 5.5 Feedback Interconnections of Nonnegative Nonlinear Dy-namical Systems -- 5.6 Dissipativity Theory for Discrete-Time Nonnegative Dynam-ical Systems -- 5.7 Specialization to Discrete-Time Linear Nonnegative Dy-namical Systems -- 5.8 Feedback Interconnections of Discrete-Time Nonnegative Dynamical Systems -- 5.9 Dissipativity Theory for Nonnegative Dynamical Systems with Time Delay -- 5.10 Feedback Interconnections of Nonnegative Dynamical Sys-tems with Time Delay -- 5.11 Dissipativity Theory for Discrete-Time Nonnegative Dynam-ical Systems with Time Delay -- 5.12 Feedback Interconnections of Discrete-Time Nonnegative Dynamical Systems with Time Delay -- Chapter 6. Hybrid Nonnegative and Compartmental Dynamical Systems -- 6.1 Introduction -- 6.2 Stability Theory for Nonlinear Hybrid Nonnegative Dynam-ical Systems -- 6.3 Hybrid Compartmental Dynamical Systems -- 6.4 Dissipativity Theory for Hybrid Nonnegative Dynamical Systems -- 6.5 Specialization to Linear Impulsive Dynamical Systems -- 6.6 Feedback Interconnections of Nonlinear Hybrid Nonnegative Dynamical Systems -- Chapter 7. System Thermodynamics, Irreversibility, and Time Asymmetry -- 7.1 Introduction -- 7.2 Dynamical System Model -- 7.3 Reversibility, Irreversibility, Recoverability, and Irrecoverability -- 7.4 Reversible Dynamical Systems, Volume-Preserving Flows, and Poincar180;e Recurrence -- 7.5 System Thermodynamics -- 7.6 Entropy and Irreversibility -- T$2458.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This comprehensive book provides the first unified framework for stability and dissipativity analysis and control design for nonnegative and compartmental dynamical systems, which play a key role in a wide range of fields, including engineering, thermal sciences, biology, ecology, economics, genetics, chemistry, medicine, and sociology. Using the highest standards of exposition and rigor, the authors explain these systems and advance the state of the art in their analysis and active control design. Nonnegative and Compartmental Dynamical Systems presents the most complete treatment available of system solution properties, Lyapunov stability analysis, dissipativity theory, and optimal and adaptive control for these systems, addressing continuous-time, discrete-time, and hybrid nonnegative system theory. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers, as well as for researchers and graduate students who want to understand the behavior of nonnegative and compartmental dynamical systems that arise in areas such as biomedicine, demographics, epidemiology, pharmacology, telecommunications, transportation, thermodynamics, networks, heat transfer, and power systems.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Differentiable dynamical systems.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85037882</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Dynamique différentiable.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Applied.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Differentiable dynamical systems</subfield><subfield code="2">fast</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Chellaboina, VijaySekhar,</subfield><subfield code="d">1970-</subfield><subfield code="e">author.</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PBJcR9MDCRCBJmDJ3wdPYT3</subfield><subfield code="0">http://id.loc.gov/authorities/names/n00012282</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hui, Qing,</subfield><subfield code="d">1976-</subfield><subfield code="e">author.</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCjqDJRMyWp4DpdjHw6j6cd</subfield><subfield code="0">http://id.loc.gov/authorities/names/n2009037431</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">Nonnegative and compartmental dynamical systems (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCGgKBT64c4pxdtD4DVKY8C</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Haddad, Wassim M., 1961-</subfield><subfield code="t">Nonnegative and compartmental dynamical systems.</subfield><subfield code="d">Princeton, N.J. : Princeton University Press, ©2010</subfield><subfield code="z">9780691144115</subfield><subfield code="w">(DLC) 2009022506</subfield><subfield code="w">(OCoLC)402539883</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=329714</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH28073662</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Coutts Information Services</subfield><subfield code="b">COUT</subfield><subfield code="n">12123317</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBL - Ebook Library</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL483497</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">329714</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">3177445</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| id | ZDB-4-EBA-ocn559739934 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:59Z |
| institution | BVB |
| isbn | 9781400832248 1400832241 |
| language | English |
| oclc_num | 559739934 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xviii, 605 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Princeton University Press, |
| record_format | marc |
| spelling | Haddad, Wassim M., 1961- author. https://id.oclc.org/worldcat/entity/E39PBJfCqXkkyH4jTpg8f9f8YP http://id.loc.gov/authorities/names/n00012281 Nonnegative and compartmental dynamical systems / Wassim M. Haddad, VijaySekhar Chellaboina, Qing Hui. Princeton : Princeton University Press, ©2010. 1 online resource (xviii, 605 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 573-597) and index. Cover -- Contents -- Chapter 1. Introduction -- Chapter 2. Stability Theory for Nonnegative Dynamical Systems -- 2.1 Introduction -- 2.2 Lyapunov Stability Theory for Nonnegative Dynamical Systems -- 2.3 Invariant Set Stability Theorems -- 2.4 Semistability of Nonnegative Dynamical Systems -- 2.5 Stability Theory for Linear Nonnegative Dynamical Systems -- 2.6 Nonlinear Compartmental Dynamical Systems -- 2.7 Compartmental Systems in Biology, Ecology, Epidemiology, and Pharmacology -- 2.8 Discrete-Time Lyapunov Stability Theory for Nonnegative Dynamical Systems -- 2.9 Discrete-Time Invariant Set Theorems and Semistability Theorems -- 2.10 Stability Theory for Discrete-Time Linear Nonnegative Dy-namical Systems -- 2.11 Discrete-Time Nonlinear Compartmental Dynamical Systems -- Chapter 3. Stability Theory for Nonnegative and Compartmental Dynamical Systems with Time Delay -- 3.1 Introduction -- 3.2 Lyapunov Stability Theory for Time-Delay Nonnegative Dynamical Systems -- 3.3 Invariant Set Stability Theorems -- 3.4 Stability Theory for Continuous-Time Nonnegative Dynam-ical Systems with Time Delay -- 3.5 Discrete-Time Lyapunov Stability Theory for Time-Delay Nonnegative Dynamical Systems -- 3.6 Stability Theory for Discrete-Time Nonnegative Dynamical Systems with Time Delay -- Chapter 4. Nonoscillation and Monotonicity of Solutions of Nonnegative Dynamical Systems -- 4.1 Introduction -- 4.2 Nonoscillation and Monotonicity of Linear Nonnegative Dynamical Systems -- 4.3 Mammillary Systems -- 4.4 Monotonicity of Nonlinear Nonnegative Dynamical Systems -- 4.5 Monotonicity of Discrete-Time Linear Nonnegative Dynamical Systems -- 4.6 Monotonicity of Discrete-Time Nonlinear Nonnegative Dynamical Systems -- 4.7 Monotonicity of Nonnegative Dynamical Systems with Time Delay -- Chapter 5. Dissipativity Theory for Nonnegative Dynamical Systems -- 5.1 Introduction -- 5.2 Dissipativity Theory for Nonnegative Dynamical Systems -- 5.3 Feedback Interconnections of Nonnegative Dynamical Systems -- 5.4 Dissipativity Theory for Nonlinear Nonnegative Dynamical Systems -- 5.5 Feedback Interconnections of Nonnegative Nonlinear Dy-namical Systems -- 5.6 Dissipativity Theory for Discrete-Time Nonnegative Dynam-ical Systems -- 5.7 Specialization to Discrete-Time Linear Nonnegative Dy-namical Systems -- 5.8 Feedback Interconnections of Discrete-Time Nonnegative Dynamical Systems -- 5.9 Dissipativity Theory for Nonnegative Dynamical Systems with Time Delay -- 5.10 Feedback Interconnections of Nonnegative Dynamical Sys-tems with Time Delay -- 5.11 Dissipativity Theory for Discrete-Time Nonnegative Dynam-ical Systems with Time Delay -- 5.12 Feedback Interconnections of Discrete-Time Nonnegative Dynamical Systems with Time Delay -- Chapter 6. Hybrid Nonnegative and Compartmental Dynamical Systems -- 6.1 Introduction -- 6.2 Stability Theory for Nonlinear Hybrid Nonnegative Dynam-ical Systems -- 6.3 Hybrid Compartmental Dynamical Systems -- 6.4 Dissipativity Theory for Hybrid Nonnegative Dynamical Systems -- 6.5 Specialization to Linear Impulsive Dynamical Systems -- 6.6 Feedback Interconnections of Nonlinear Hybrid Nonnegative Dynamical Systems -- Chapter 7. System Thermodynamics, Irreversibility, and Time Asymmetry -- 7.1 Introduction -- 7.2 Dynamical System Model -- 7.3 Reversibility, Irreversibility, Recoverability, and Irrecoverability -- 7.4 Reversible Dynamical Systems, Volume-Preserving Flows, and Poincar180;e Recurrence -- 7.5 System Thermodynamics -- 7.6 Entropy and Irreversibility -- T$2458. This comprehensive book provides the first unified framework for stability and dissipativity analysis and control design for nonnegative and compartmental dynamical systems, which play a key role in a wide range of fields, including engineering, thermal sciences, biology, ecology, economics, genetics, chemistry, medicine, and sociology. Using the highest standards of exposition and rigor, the authors explain these systems and advance the state of the art in their analysis and active control design. Nonnegative and Compartmental Dynamical Systems presents the most complete treatment available of system solution properties, Lyapunov stability analysis, dissipativity theory, and optimal and adaptive control for these systems, addressing continuous-time, discrete-time, and hybrid nonnegative system theory. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers, as well as for researchers and graduate students who want to understand the behavior of nonnegative and compartmental dynamical systems that arise in areas such as biomedicine, demographics, epidemiology, pharmacology, telecommunications, transportation, thermodynamics, networks, heat transfer, and power systems. Print version record. Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Dynamique différentiable. MATHEMATICS Applied. bisacsh Differentiable dynamical systems fast Chellaboina, VijaySekhar, 1970- author. https://id.oclc.org/worldcat/entity/E39PBJcR9MDCRCBJmDJ3wdPYT3 http://id.loc.gov/authorities/names/n00012282 Hui, Qing, 1976- author. https://id.oclc.org/worldcat/entity/E39PCjqDJRMyWp4DpdjHw6j6cd http://id.loc.gov/authorities/names/n2009037431 has work: Nonnegative and compartmental dynamical systems (Text) https://id.oclc.org/worldcat/entity/E39PCGgKBT64c4pxdtD4DVKY8C https://id.oclc.org/worldcat/ontology/hasWork Print version: Haddad, Wassim M., 1961- Nonnegative and compartmental dynamical systems. Princeton, N.J. : Princeton University Press, ©2010 9780691144115 (DLC) 2009022506 (OCoLC)402539883 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=329714 Volltext |
| spellingShingle | Haddad, Wassim M., 1961- Chellaboina, VijaySekhar, 1970- Hui, Qing, 1976- Nonnegative and compartmental dynamical systems / Cover -- Contents -- Chapter 1. Introduction -- Chapter 2. Stability Theory for Nonnegative Dynamical Systems -- 2.1 Introduction -- 2.2 Lyapunov Stability Theory for Nonnegative Dynamical Systems -- 2.3 Invariant Set Stability Theorems -- 2.4 Semistability of Nonnegative Dynamical Systems -- 2.5 Stability Theory for Linear Nonnegative Dynamical Systems -- 2.6 Nonlinear Compartmental Dynamical Systems -- 2.7 Compartmental Systems in Biology, Ecology, Epidemiology, and Pharmacology -- 2.8 Discrete-Time Lyapunov Stability Theory for Nonnegative Dynamical Systems -- 2.9 Discrete-Time Invariant Set Theorems and Semistability Theorems -- 2.10 Stability Theory for Discrete-Time Linear Nonnegative Dy-namical Systems -- 2.11 Discrete-Time Nonlinear Compartmental Dynamical Systems -- Chapter 3. Stability Theory for Nonnegative and Compartmental Dynamical Systems with Time Delay -- 3.1 Introduction -- 3.2 Lyapunov Stability Theory for Time-Delay Nonnegative Dynamical Systems -- 3.3 Invariant Set Stability Theorems -- 3.4 Stability Theory for Continuous-Time Nonnegative Dynam-ical Systems with Time Delay -- 3.5 Discrete-Time Lyapunov Stability Theory for Time-Delay Nonnegative Dynamical Systems -- 3.6 Stability Theory for Discrete-Time Nonnegative Dynamical Systems with Time Delay -- Chapter 4. Nonoscillation and Monotonicity of Solutions of Nonnegative Dynamical Systems -- 4.1 Introduction -- 4.2 Nonoscillation and Monotonicity of Linear Nonnegative Dynamical Systems -- 4.3 Mammillary Systems -- 4.4 Monotonicity of Nonlinear Nonnegative Dynamical Systems -- 4.5 Monotonicity of Discrete-Time Linear Nonnegative Dynamical Systems -- 4.6 Monotonicity of Discrete-Time Nonlinear Nonnegative Dynamical Systems -- 4.7 Monotonicity of Nonnegative Dynamical Systems with Time Delay -- Chapter 5. Dissipativity Theory for Nonnegative Dynamical Systems -- 5.1 Introduction -- 5.2 Dissipativity Theory for Nonnegative Dynamical Systems -- 5.3 Feedback Interconnections of Nonnegative Dynamical Systems -- 5.4 Dissipativity Theory for Nonlinear Nonnegative Dynamical Systems -- 5.5 Feedback Interconnections of Nonnegative Nonlinear Dy-namical Systems -- 5.6 Dissipativity Theory for Discrete-Time Nonnegative Dynam-ical Systems -- 5.7 Specialization to Discrete-Time Linear Nonnegative Dy-namical Systems -- 5.8 Feedback Interconnections of Discrete-Time Nonnegative Dynamical Systems -- 5.9 Dissipativity Theory for Nonnegative Dynamical Systems with Time Delay -- 5.10 Feedback Interconnections of Nonnegative Dynamical Sys-tems with Time Delay -- 5.11 Dissipativity Theory for Discrete-Time Nonnegative Dynam-ical Systems with Time Delay -- 5.12 Feedback Interconnections of Discrete-Time Nonnegative Dynamical Systems with Time Delay -- Chapter 6. Hybrid Nonnegative and Compartmental Dynamical Systems -- 6.1 Introduction -- 6.2 Stability Theory for Nonlinear Hybrid Nonnegative Dynam-ical Systems -- 6.3 Hybrid Compartmental Dynamical Systems -- 6.4 Dissipativity Theory for Hybrid Nonnegative Dynamical Systems -- 6.5 Specialization to Linear Impulsive Dynamical Systems -- 6.6 Feedback Interconnections of Nonlinear Hybrid Nonnegative Dynamical Systems -- Chapter 7. System Thermodynamics, Irreversibility, and Time Asymmetry -- 7.1 Introduction -- 7.2 Dynamical System Model -- 7.3 Reversibility, Irreversibility, Recoverability, and Irrecoverability -- 7.4 Reversible Dynamical Systems, Volume-Preserving Flows, and Poincar180;e Recurrence -- 7.5 System Thermodynamics -- 7.6 Entropy and Irreversibility -- T$2458. Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Dynamique différentiable. MATHEMATICS Applied. bisacsh Differentiable dynamical systems fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037882 |
| title | Nonnegative and compartmental dynamical systems / |
| title_auth | Nonnegative and compartmental dynamical systems / |
| title_exact_search | Nonnegative and compartmental dynamical systems / |
| title_full | Nonnegative and compartmental dynamical systems / Wassim M. Haddad, VijaySekhar Chellaboina, Qing Hui. |
| title_fullStr | Nonnegative and compartmental dynamical systems / Wassim M. Haddad, VijaySekhar Chellaboina, Qing Hui. |
| title_full_unstemmed | Nonnegative and compartmental dynamical systems / Wassim M. Haddad, VijaySekhar Chellaboina, Qing Hui. |
| title_short | Nonnegative and compartmental dynamical systems / |
| title_sort | nonnegative and compartmental dynamical systems |
| topic | Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Dynamique différentiable. MATHEMATICS Applied. bisacsh Differentiable dynamical systems fast |
| topic_facet | Differentiable dynamical systems. Dynamique différentiable. MATHEMATICS Applied. Differentiable dynamical systems |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=329714 |
| work_keys_str_mv | AT haddadwassimm nonnegativeandcompartmentaldynamicalsystems AT chellaboinavijaysekhar nonnegativeandcompartmentaldynamicalsystems AT huiqing nonnegativeandcompartmentaldynamicalsystems |