Differential-algebraic systems: analytical aspects and circuit applications
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New Jersey
World Scientific
[2008]
|
Schlagworte: | |
Online-Zugang: | FAW01 FAW02 UER01 Volltext |
Beschreibung: | Includes bibliographical references and index 1. Introduction. 1.1. Historical remarks: different origins, different names. 1.2. DAE analysis. 1.3. State vs. semistate modeling. 1.4. Formulations. 1.5. Contents and structure of the book -- Analytical aspects of DAEs. 2. Linear DAEs and projector-based methods. 2.1. Linear time-invariant DAEs. 2.2. Properly stated linear time-varying DAEs. 2.3. Standard form linear DAEs. 2.4. Other approaches for linear DAEs: reduction techniques. 3. Nonlinear DAEs and reduction methods. 3.1. Semiexplicit index one DAEs. 3.2. Hessenberg systems. 3.3. Some notions from differential geometry. 3.4. Quasilinear DAEs: the geometric index. 3.5. Dynamical aspects. 3.6. Reduction methods for fully nonlinear DAEs. 3.7. The differentiation index and derivative arrays. 4. Singularities. 4.1. What is a singular DAE? 4.2. Singularities of properly stated linear time-varying DAEs. 4.3. Singularities of standard form linear time-varying DAEs. 4.4. Singularities of autonomous quasilinear DAEs -- Semistate models of electrical circuits. 5. Nodal analysis. 5.1. Background on graphs and electrical circuits. 5.2. Formulation of nodal models. 5.3. Index analysis: fundamentals. 5.4. Index analysis: passive circuits. 5.5. Index analysis: tree methods for non-passive circuits. 6. Branch-oriented methods. 6.1. Branch-oriented semistate models. 6.2. Geometric index analysis and reduction of branch models. Qualitative properties Differential-algebraic equations (DAEs) provide an essential tool for system modeling and analysis within different fields of applied sciences and engineering. This book addresses modeling issues and analytical properties of DAEs, together with some applications in electrical circuit theory. Beginning with elementary aspects, the author succeeds in providing a self-contained and comprehensive presentation of several advanced topics in DAE theory, such as the full characterization of linear time-varying equations via projector methods or the geometric reduction of nonlinear systems. Recent results on singularities are extensively discussed. The book also addresses in detail differential-algebraic models of electrical and electronic circuits, including index characterizations and qualitative aspects of circuit dynamics. In particular, the reader will find a thorough discussion of the state/semistate dichotomy in circuit modeling. The state formulation problem, which has attracted much attention in the engineering literature, is cleverly tackled here as a reduction problem on semistate models |
Beschreibung: | 1 Online-Ressource (xiv, 330 p.) |
ISBN: | 9789812791818 9812791817 |
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245 | 1 | 0 | |a Differential-algebraic systems |b analytical aspects and circuit applications |c Ricardo Riaza |
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500 | |a Includes bibliographical references and index | ||
500 | |a 1. Introduction. 1.1. Historical remarks: different origins, different names. 1.2. DAE analysis. 1.3. State vs. semistate modeling. 1.4. Formulations. 1.5. Contents and structure of the book -- Analytical aspects of DAEs. 2. Linear DAEs and projector-based methods. 2.1. Linear time-invariant DAEs. 2.2. Properly stated linear time-varying DAEs. 2.3. Standard form linear DAEs. 2.4. Other approaches for linear DAEs: reduction techniques. 3. Nonlinear DAEs and reduction methods. 3.1. Semiexplicit index one DAEs. 3.2. Hessenberg systems. 3.3. Some notions from differential geometry. 3.4. Quasilinear DAEs: the geometric index. 3.5. Dynamical aspects. 3.6. Reduction methods for fully nonlinear DAEs. 3.7. The differentiation index and derivative arrays. 4. Singularities. 4.1. What is a singular DAE? 4.2. Singularities of properly stated linear time-varying DAEs. 4.3. Singularities of standard form linear time-varying DAEs. 4.4. Singularities of autonomous quasilinear DAEs -- Semistate models of electrical circuits. 5. Nodal analysis. 5.1. Background on graphs and electrical circuits. 5.2. Formulation of nodal models. 5.3. Index analysis: fundamentals. 5.4. Index analysis: passive circuits. 5.5. Index analysis: tree methods for non-passive circuits. 6. Branch-oriented methods. 6.1. Branch-oriented semistate models. 6.2. Geometric index analysis and reduction of branch models. Qualitative properties | ||
500 | |a Differential-algebraic equations (DAEs) provide an essential tool for system modeling and analysis within different fields of applied sciences and engineering. This book addresses modeling issues and analytical properties of DAEs, together with some applications in electrical circuit theory. Beginning with elementary aspects, the author succeeds in providing a self-contained and comprehensive presentation of several advanced topics in DAE theory, such as the full characterization of linear time-varying equations via projector methods or the geometric reduction of nonlinear systems. Recent results on singularities are extensively discussed. The book also addresses in detail differential-algebraic models of electrical and electronic circuits, including index characterizations and qualitative aspects of circuit dynamics. In particular, the reader will find a thorough discussion of the state/semistate dichotomy in circuit modeling. The state formulation problem, which has attracted much attention in the engineering literature, is cleverly tackled here as a reduction problem on semistate models | ||
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Datensatz im Suchindex
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---|---|
any_adam_object | |
author | Riaza, Ricardo |
author_facet | Riaza, Ricardo |
author_role | aut |
author_sort | Riaza, Ricardo |
author_variant | r r rr |
building | Verbundindex |
bvnumber | BV043062802 |
classification_rvk | SK 540 SK 950 |
collection | ZDB-4-EBA |
ctrlnum | (ZDB-4-EBA)521146 (OCoLC)313650759 (DE-599)BVBBV043062802 |
dewey-full | 512/.5622 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512/.56 22 |
dewey-search | 512/.56 22 |
dewey-sort | 3512 256 222 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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id | DE-604.BV043062802 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:16:18Z |
institution | BVB |
isbn | 9789812791818 9812791817 |
language | English |
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physical | 1 Online-Ressource (xiv, 330 p.) |
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spelling | Riaza, Ricardo Verfasser aut Differential-algebraic systems analytical aspects and circuit applications Ricardo Riaza New Jersey World Scientific [2008] 1 Online-Ressource (xiv, 330 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index 1. Introduction. 1.1. Historical remarks: different origins, different names. 1.2. DAE analysis. 1.3. State vs. semistate modeling. 1.4. Formulations. 1.5. Contents and structure of the book -- Analytical aspects of DAEs. 2. Linear DAEs and projector-based methods. 2.1. Linear time-invariant DAEs. 2.2. Properly stated linear time-varying DAEs. 2.3. Standard form linear DAEs. 2.4. Other approaches for linear DAEs: reduction techniques. 3. Nonlinear DAEs and reduction methods. 3.1. Semiexplicit index one DAEs. 3.2. Hessenberg systems. 3.3. Some notions from differential geometry. 3.4. Quasilinear DAEs: the geometric index. 3.5. Dynamical aspects. 3.6. Reduction methods for fully nonlinear DAEs. 3.7. The differentiation index and derivative arrays. 4. Singularities. 4.1. What is a singular DAE? 4.2. Singularities of properly stated linear time-varying DAEs. 4.3. Singularities of standard form linear time-varying DAEs. 4.4. Singularities of autonomous quasilinear DAEs -- Semistate models of electrical circuits. 5. Nodal analysis. 5.1. Background on graphs and electrical circuits. 5.2. Formulation of nodal models. 5.3. Index analysis: fundamentals. 5.4. Index analysis: passive circuits. 5.5. Index analysis: tree methods for non-passive circuits. 6. Branch-oriented methods. 6.1. Branch-oriented semistate models. 6.2. Geometric index analysis and reduction of branch models. Qualitative properties Differential-algebraic equations (DAEs) provide an essential tool for system modeling and analysis within different fields of applied sciences and engineering. This book addresses modeling issues and analytical properties of DAEs, together with some applications in electrical circuit theory. Beginning with elementary aspects, the author succeeds in providing a self-contained and comprehensive presentation of several advanced topics in DAE theory, such as the full characterization of linear time-varying equations via projector methods or the geometric reduction of nonlinear systems. Recent results on singularities are extensively discussed. The book also addresses in detail differential-algebraic models of electrical and electronic circuits, including index characterizations and qualitative aspects of circuit dynamics. In particular, the reader will find a thorough discussion of the state/semistate dichotomy in circuit modeling. The state formulation problem, which has attracted much attention in the engineering literature, is cleverly tackled here as a reduction problem on semistate models MATHEMATICS / Algebra / Linear bisacsh Mathematisches Modell Differential-algebraic equations Electric circuits Mathematical models Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd rswk-swf Differential-algebraisches Gleichungssystem (DE-588)4229517-8 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789812791801 Erscheint auch als Druck-Ausgabe 981-279-180-9 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=521146 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Riaza, Ricardo Differential-algebraic systems analytical aspects and circuit applications MATHEMATICS / Algebra / Linear bisacsh Mathematisches Modell Differential-algebraic equations Electric circuits Mathematical models Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd |
subject_GND | (DE-588)4229517-8 |
title | Differential-algebraic systems analytical aspects and circuit applications |
title_auth | Differential-algebraic systems analytical aspects and circuit applications |
title_exact_search | Differential-algebraic systems analytical aspects and circuit applications |
title_full | Differential-algebraic systems analytical aspects and circuit applications Ricardo Riaza |
title_fullStr | Differential-algebraic systems analytical aspects and circuit applications Ricardo Riaza |
title_full_unstemmed | Differential-algebraic systems analytical aspects and circuit applications Ricardo Riaza |
title_short | Differential-algebraic systems |
title_sort | differential algebraic systems analytical aspects and circuit applications |
title_sub | analytical aspects and circuit applications |
topic | MATHEMATICS / Algebra / Linear bisacsh Mathematisches Modell Differential-algebraic equations Electric circuits Mathematical models Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd |
topic_facet | MATHEMATICS / Algebra / Linear Mathematisches Modell Differential-algebraic equations Electric circuits Mathematical models Differential-algebraisches Gleichungssystem |
url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=521146 |
work_keys_str_mv | AT riazaricardo differentialalgebraicsystemsanalyticalaspectsandcircuitapplications |