Analysis and control of nonlinear systems with stationary sets: time-domain and frequency-domain methods
Gespeichert in:
Format: | Elektronisch E-Book |
---|---|
Sprache: | English |
Veröffentlicht: |
Hackensack, N.J.
World Scientific
©2009
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Schlagworte: | |
Online-Zugang: | FAW01 FAW02 Volltext |
Beschreibung: | Includes bibliographical references (pages 295-308) and index Cover -- Contents -- Preface -- Notation and Symbols -- 1. Linear Systems and Linear Matrix Inequalities -- 1.1 Controllability and observability of linear systems -- 1.1.1 Controllability and observability -- 1.1.2 Stabilizability and detectability -- 1.2 Algebraic Lyapunov equations and Lyapunov inequalities -- 1.2.1 Continuous-time algebraic Lyapunov equations -- 1.2.2 Continuous-time Lyapunov inequalities -- 1.2.3 Discrete-time algebraic Lyapunov equations and inequalities -- 1.3 Formulation related to linear matrix inequalities -- 1.3.1 Schur complements -- 1.3.2 Projection lemma -- 1.4 The S-procedure -- 1.4.1 The S-procedure for nonstrict inequalities -- 1.4.2 The S-procedure for strict inequalities -- 1.5 Kalman-Yakubovi183;c-Popov (KYP) lemma and its general- ized forms -- 1.6 Notes and references -- 2. LMI Approach to H1 Control -- 2.1 L1 norm and H1 norm of the systems -- 2.1.1 L1 and H1 spaces -- 2.1.2 Computing L1 and H1 norms -- - 2.2 Linear fractional transformations -- 2.3 Redheffer star product -- 2.4 Algebraic Riccati equations -- 2.4.1 Solvability conditions for Riccati equations -- 2.4.2 Discrete Riccati equation -- 2.5 Bounded real lemma -- 2.6 Small gain theorem -- 2.7 LMI approach to H1 control -- 2.7.1 Continuous-time H1 control -- 2.7.2 Discrete-time H1 control -- 2.8 Notes and references -- 3. Analysis and Control of Positive Real Systems -- 3.1 Positive real systems -- 3.2 Positive real lemma -- 3.3 LMI approach to control of SPR -- 3.4 Relationship between SPR control and SBR control -- 3.5 Multiplier design for SPR -- 3.6 Notes and references -- 4. Absolute Stability and Dichotomy of Lur'e Systems -- 4.1 Circle criterion of SISO Lur'e systems -- 4.2 Popov criterion of SISO Lur'e systems -- 4.3 Aizerman and Kalman conjectures -- 4.4 MIMO Lur'e systems -- 4.5 Dichotomy of Lur'e systems -- 4.6 Bounded derivative conditions -- 4.7 Notes and references -- 5. Pendulum-like Feedback Systems -- - 5.1 Several examples -- 5.2 Pendulum-like feedback systems -- 5.2.1 The first canonical form of pendulum-like feedback system -- 5.2.2 The second canonical form of pendulum-like feed- back system -- 5.2.3 The relationship between the 175;rst and the second forms of pendulum-like feedback systems -- 5.3 Dichotomy of pendulum-like feedback systems -- 5.3.1 Dichotomy of the second form of autonomous pendulum-like feedback systems -- 5.3.2 Dichotomy of the first form of pendulum-like feed- back systems -- 5.4 Gradient-like property of pendulum-like feedback systems -- 5.4.1 Gradient-like property of the second form of pendulum-like feedback systems -- 5.4.2 Gradient-like property of the first form of pendulum-like feedback systems -- 5.5 Lagrange stability of pendulum-like feedback systems -- 5.6 Bakaev stability of pendulum-like feedback systems -- 5.7 Notes and references -- 6. Controller Design for a Class of Pendulum-like Systems -- - 6.1 Controller design with dichotomy or gradient-like property -- 6.1.1 Controller design with dichotomy -- 6.1.2 Controller design with gradient-like property -- 6.2 Controller design with Lagrange stability -- 6.3 Notes and references -- 7. Controller Designs for Systems with Input Nonlinearities -- 7.1 Lagrange stabilizing for systems with input nonlinearities -- 7.2 Bakaev stabilizing for systems with input nonlinearities -- 7.3 Control for systems with input nonlinearities guaranteeing di |
Beschreibung: | 1 Online-Ressource (xxii, 311 pages) |
ISBN: | 9789812814692 9789812814715 9812814698 981281471X |
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245 | 1 | 0 | |a Analysis and control of nonlinear systems with stationary sets |b time-domain and frequency-domain methods |c Jinzhi Wang [and others] |
264 | 1 | |a Hackensack, N.J. |b World Scientific |c ©2009 | |
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336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
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500 | |a Includes bibliographical references (pages 295-308) and index | ||
500 | |a Cover -- Contents -- Preface -- Notation and Symbols -- 1. Linear Systems and Linear Matrix Inequalities -- 1.1 Controllability and observability of linear systems -- 1.1.1 Controllability and observability -- 1.1.2 Stabilizability and detectability -- 1.2 Algebraic Lyapunov equations and Lyapunov inequalities -- 1.2.1 Continuous-time algebraic Lyapunov equations -- 1.2.2 Continuous-time Lyapunov inequalities -- 1.2.3 Discrete-time algebraic Lyapunov equations and inequalities -- 1.3 Formulation related to linear matrix inequalities -- 1.3.1 Schur complements -- 1.3.2 Projection lemma -- 1.4 The S-procedure -- 1.4.1 The S-procedure for nonstrict inequalities -- 1.4.2 The S-procedure for strict inequalities -- 1.5 Kalman-Yakubovi183;c-Popov (KYP) lemma and its general- ized forms -- 1.6 Notes and references -- 2. LMI Approach to H1 Control -- 2.1 L1 norm and H1 norm of the systems -- 2.1.1 L1 and H1 spaces -- 2.1.2 Computing L1 and H1 norms -- | ||
500 | |a - 2.2 Linear fractional transformations -- 2.3 Redheffer star product -- 2.4 Algebraic Riccati equations -- 2.4.1 Solvability conditions for Riccati equations -- 2.4.2 Discrete Riccati equation -- 2.5 Bounded real lemma -- 2.6 Small gain theorem -- 2.7 LMI approach to H1 control -- 2.7.1 Continuous-time H1 control -- 2.7.2 Discrete-time H1 control -- 2.8 Notes and references -- 3. Analysis and Control of Positive Real Systems -- 3.1 Positive real systems -- 3.2 Positive real lemma -- 3.3 LMI approach to control of SPR -- 3.4 Relationship between SPR control and SBR control -- 3.5 Multiplier design for SPR -- 3.6 Notes and references -- 4. Absolute Stability and Dichotomy of Lur'e Systems -- 4.1 Circle criterion of SISO Lur'e systems -- 4.2 Popov criterion of SISO Lur'e systems -- 4.3 Aizerman and Kalman conjectures -- 4.4 MIMO Lur'e systems -- 4.5 Dichotomy of Lur'e systems -- 4.6 Bounded derivative conditions -- 4.7 Notes and references -- 5. Pendulum-like Feedback Systems -- | ||
500 | |a - 5.1 Several examples -- 5.2 Pendulum-like feedback systems -- 5.2.1 The first canonical form of pendulum-like feedback system -- 5.2.2 The second canonical form of pendulum-like feed- back system -- 5.2.3 The relationship between the 175;rst and the second forms of pendulum-like feedback systems -- 5.3 Dichotomy of pendulum-like feedback systems -- 5.3.1 Dichotomy of the second form of autonomous pendulum-like feedback systems -- 5.3.2 Dichotomy of the first form of pendulum-like feed- back systems -- 5.4 Gradient-like property of pendulum-like feedback systems -- 5.4.1 Gradient-like property of the second form of pendulum-like feedback systems -- 5.4.2 Gradient-like property of the first form of pendulum-like feedback systems -- 5.5 Lagrange stability of pendulum-like feedback systems -- 5.6 Bakaev stability of pendulum-like feedback systems -- 5.7 Notes and references -- 6. Controller Design for a Class of Pendulum-like Systems -- | ||
500 | |a - 6.1 Controller design with dichotomy or gradient-like property -- 6.1.1 Controller design with dichotomy -- 6.1.2 Controller design with gradient-like property -- 6.2 Controller design with Lagrange stability -- 6.3 Notes and references -- 7. Controller Designs for Systems with Input Nonlinearities -- 7.1 Lagrange stabilizing for systems with input nonlinearities -- 7.2 Bakaev stabilizing for systems with input nonlinearities -- 7.3 Control for systems with input nonlinearities guaranteeing di | ||
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650 | 7 | |a TECHNOLOGY & ENGINEERING / Robotics |2 bisacsh | |
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700 | 1 | |a Wang, Jinzhi |e Sonstige |4 oth | |
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Datensatz im Suchindex
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any_adam_object | |
building | Verbundindex |
bvnumber | BV043062907 |
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dewey-full | 629.8/312 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 629 - Other branches of engineering |
dewey-raw | 629.8/312 |
dewey-search | 629.8/312 |
dewey-sort | 3629.8 3312 |
dewey-tens | 620 - Engineering and allied operations |
discipline | Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
format | Electronic eBook |
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id | DE-604.BV043062907 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:16:18Z |
institution | BVB |
isbn | 9789812814692 9789812814715 9812814698 981281471X |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028487098 |
oclc_num | 557655900 |
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owner_facet | DE-1046 DE-1047 |
physical | 1 Online-Ressource (xxii, 311 pages) |
psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
publishDate | 2009 |
publishDateSearch | 2009 |
publishDateSort | 2009 |
publisher | World Scientific |
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spelling | Analysis and control of nonlinear systems with stationary sets time-domain and frequency-domain methods Jinzhi Wang [and others] Hackensack, N.J. World Scientific ©2009 1 Online-Ressource (xxii, 311 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 295-308) and index Cover -- Contents -- Preface -- Notation and Symbols -- 1. Linear Systems and Linear Matrix Inequalities -- 1.1 Controllability and observability of linear systems -- 1.1.1 Controllability and observability -- 1.1.2 Stabilizability and detectability -- 1.2 Algebraic Lyapunov equations and Lyapunov inequalities -- 1.2.1 Continuous-time algebraic Lyapunov equations -- 1.2.2 Continuous-time Lyapunov inequalities -- 1.2.3 Discrete-time algebraic Lyapunov equations and inequalities -- 1.3 Formulation related to linear matrix inequalities -- 1.3.1 Schur complements -- 1.3.2 Projection lemma -- 1.4 The S-procedure -- 1.4.1 The S-procedure for nonstrict inequalities -- 1.4.2 The S-procedure for strict inequalities -- 1.5 Kalman-Yakubovi183;c-Popov (KYP) lemma and its general- ized forms -- 1.6 Notes and references -- 2. LMI Approach to H1 Control -- 2.1 L1 norm and H1 norm of the systems -- 2.1.1 L1 and H1 spaces -- 2.1.2 Computing L1 and H1 norms -- - 2.2 Linear fractional transformations -- 2.3 Redheffer star product -- 2.4 Algebraic Riccati equations -- 2.4.1 Solvability conditions for Riccati equations -- 2.4.2 Discrete Riccati equation -- 2.5 Bounded real lemma -- 2.6 Small gain theorem -- 2.7 LMI approach to H1 control -- 2.7.1 Continuous-time H1 control -- 2.7.2 Discrete-time H1 control -- 2.8 Notes and references -- 3. Analysis and Control of Positive Real Systems -- 3.1 Positive real systems -- 3.2 Positive real lemma -- 3.3 LMI approach to control of SPR -- 3.4 Relationship between SPR control and SBR control -- 3.5 Multiplier design for SPR -- 3.6 Notes and references -- 4. Absolute Stability and Dichotomy of Lur'e Systems -- 4.1 Circle criterion of SISO Lur'e systems -- 4.2 Popov criterion of SISO Lur'e systems -- 4.3 Aizerman and Kalman conjectures -- 4.4 MIMO Lur'e systems -- 4.5 Dichotomy of Lur'e systems -- 4.6 Bounded derivative conditions -- 4.7 Notes and references -- 5. Pendulum-like Feedback Systems -- - 5.1 Several examples -- 5.2 Pendulum-like feedback systems -- 5.2.1 The first canonical form of pendulum-like feedback system -- 5.2.2 The second canonical form of pendulum-like feed- back system -- 5.2.3 The relationship between the 175;rst and the second forms of pendulum-like feedback systems -- 5.3 Dichotomy of pendulum-like feedback systems -- 5.3.1 Dichotomy of the second form of autonomous pendulum-like feedback systems -- 5.3.2 Dichotomy of the first form of pendulum-like feed- back systems -- 5.4 Gradient-like property of pendulum-like feedback systems -- 5.4.1 Gradient-like property of the second form of pendulum-like feedback systems -- 5.4.2 Gradient-like property of the first form of pendulum-like feedback systems -- 5.5 Lagrange stability of pendulum-like feedback systems -- 5.6 Bakaev stability of pendulum-like feedback systems -- 5.7 Notes and references -- 6. Controller Design for a Class of Pendulum-like Systems -- - 6.1 Controller design with dichotomy or gradient-like property -- 6.1.1 Controller design with dichotomy -- 6.1.2 Controller design with gradient-like property -- 6.2 Controller design with Lagrange stability -- 6.3 Notes and references -- 7. Controller Designs for Systems with Input Nonlinearities -- 7.1 Lagrange stabilizing for systems with input nonlinearities -- 7.2 Bakaev stabilizing for systems with input nonlinearities -- 7.3 Control for systems with input nonlinearities guaranteeing di TECHNOLOGY & ENGINEERING / Automation bisacsh TECHNOLOGY & ENGINEERING / Robotics bisacsh Nonlinear control theory Wang, Jinzhi Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=305184 Aggregator Volltext |
spellingShingle | Analysis and control of nonlinear systems with stationary sets time-domain and frequency-domain methods TECHNOLOGY & ENGINEERING / Automation bisacsh TECHNOLOGY & ENGINEERING / Robotics bisacsh Nonlinear control theory |
title | Analysis and control of nonlinear systems with stationary sets time-domain and frequency-domain methods |
title_auth | Analysis and control of nonlinear systems with stationary sets time-domain and frequency-domain methods |
title_exact_search | Analysis and control of nonlinear systems with stationary sets time-domain and frequency-domain methods |
title_full | Analysis and control of nonlinear systems with stationary sets time-domain and frequency-domain methods Jinzhi Wang [and others] |
title_fullStr | Analysis and control of nonlinear systems with stationary sets time-domain and frequency-domain methods Jinzhi Wang [and others] |
title_full_unstemmed | Analysis and control of nonlinear systems with stationary sets time-domain and frequency-domain methods Jinzhi Wang [and others] |
title_short | Analysis and control of nonlinear systems with stationary sets |
title_sort | analysis and control of nonlinear systems with stationary sets time domain and frequency domain methods |
title_sub | time-domain and frequency-domain methods |
topic | TECHNOLOGY & ENGINEERING / Automation bisacsh TECHNOLOGY & ENGINEERING / Robotics bisacsh Nonlinear control theory |
topic_facet | TECHNOLOGY & ENGINEERING / Automation TECHNOLOGY & ENGINEERING / Robotics Nonlinear control theory |
url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=305184 |
work_keys_str_mv | AT wangjinzhi analysisandcontrolofnonlinearsystemswithstationarysetstimedomainandfrequencydomainmethods |