Nonlinear system theory /
Casti, J. L.
Nonlinear system theory / John L. Casti. - Orlando : Academic Press, 1985. - 1 online resource (xi, 261 pages) : illustrations - Mathematics in science and engineering ; v. 175 . - Mathematics in science and engineering ; v. 175. .
Includes bibliographical references and index.
Front Cover; Nonlinear System Theory; Copyright Page; Contents; Preface; Chapter 1. Perspectives and Problems of Nonlinear System Theory; I. A Nonlinear World; II. The Central Questions of System Theory; III. Classes of Nonlinear Processes; IV. Linear versus Nonlinear System Theory; Notes and References; Chapter 2. Mathematical Tools of Nonlinear System Theory; I. Introduction; II. Algebraic Concepts; III. Some Ideas from Differential Geometry; IV. Concepts from Algebraic Geometry; V. Grassmann Manifolds and the Classification Problem; Problems and Exercises; Notes and References II. Basic Definitions and Problem StatementIll. Solution Manifolds for Dynamical Systems; IV. Some General Results; V. Linear-Analytic Systems; VI. The Role of the State Manifold M; VII. Bilinear Systems; VIII. Polynomial Systems; IX. Discrete-Time Systems; X. Input Construction; XI. Control Canonical Form and System Invariants; Problems and Exercises; Notes and References; Chapter 5. Observability, Realization, and Estimation; I. Measurements and State Determination; II. Some Basic Definitions; III. Basic Observability Results; IV. Polynomial Systems; V. Realization Theory VI. Nonlinear Filtering and EstimationProblems and Exercises; Notes and References; Chapter 6. Stability Theory: Singularities, Bifurcations, and Catastrophes; I. Concepts of Stability; II. Lyapunov Stability; III. The Center Manifold Theorem; IV. Families of Vector Fields and Normal Forms; V. Elementary Bifurcations; VI. Singularity Theory and the Elementary Catastrophes; VII. Applications of Catastrophe Theory; VIII. Chaos and Strange Attractors; IX. Control Systems and Feedback; Problems and Exercises; Notes and References; Index
Use copy
Electronic reproduction.
[Place of publication not identified] :
HathiTrust Digital Library,
2010.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
http://purl.oclc.org/DLF/benchrepro0212
English.
9780121634520 (electronic bk.) 0121634523 (electronic bk.) 9780080958651 (electronic bk.) 0080958656 (electronic bk.) 1282289896 9781282289895 9786612289897 6612289899
System analysis.
Nonlinear theories.
Systems Analysis
Analyse de systèmes.
Théories non linéaires.
systems analysis.
SCIENCE--System Theory.
TECHNOLOGY & ENGINEERING--Operations Research.
Nonlinear theories.
System analysis.
Electronic books.
Electronic books.
QA402 / .C38 1985eb
003
Nonlinear system theory / John L. Casti. - Orlando : Academic Press, 1985. - 1 online resource (xi, 261 pages) : illustrations - Mathematics in science and engineering ; v. 175 . - Mathematics in science and engineering ; v. 175. .
Includes bibliographical references and index.
Front Cover; Nonlinear System Theory; Copyright Page; Contents; Preface; Chapter 1. Perspectives and Problems of Nonlinear System Theory; I. A Nonlinear World; II. The Central Questions of System Theory; III. Classes of Nonlinear Processes; IV. Linear versus Nonlinear System Theory; Notes and References; Chapter 2. Mathematical Tools of Nonlinear System Theory; I. Introduction; II. Algebraic Concepts; III. Some Ideas from Differential Geometry; IV. Concepts from Algebraic Geometry; V. Grassmann Manifolds and the Classification Problem; Problems and Exercises; Notes and References II. Basic Definitions and Problem StatementIll. Solution Manifolds for Dynamical Systems; IV. Some General Results; V. Linear-Analytic Systems; VI. The Role of the State Manifold M; VII. Bilinear Systems; VIII. Polynomial Systems; IX. Discrete-Time Systems; X. Input Construction; XI. Control Canonical Form and System Invariants; Problems and Exercises; Notes and References; Chapter 5. Observability, Realization, and Estimation; I. Measurements and State Determination; II. Some Basic Definitions; III. Basic Observability Results; IV. Polynomial Systems; V. Realization Theory VI. Nonlinear Filtering and EstimationProblems and Exercises; Notes and References; Chapter 6. Stability Theory: Singularities, Bifurcations, and Catastrophes; I. Concepts of Stability; II. Lyapunov Stability; III. The Center Manifold Theorem; IV. Families of Vector Fields and Normal Forms; V. Elementary Bifurcations; VI. Singularity Theory and the Elementary Catastrophes; VII. Applications of Catastrophe Theory; VIII. Chaos and Strange Attractors; IX. Control Systems and Feedback; Problems and Exercises; Notes and References; Index
Use copy
Electronic reproduction.
[Place of publication not identified] :
HathiTrust Digital Library,
2010.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
http://purl.oclc.org/DLF/benchrepro0212
English.
9780121634520 (electronic bk.) 0121634523 (electronic bk.) 9780080958651 (electronic bk.) 0080958656 (electronic bk.) 1282289896 9781282289895 9786612289897 6612289899
System analysis.
Nonlinear theories.
Systems Analysis
Analyse de systèmes.
Théories non linéaires.
systems analysis.
SCIENCE--System Theory.
TECHNOLOGY & ENGINEERING--Operations Research.
Nonlinear theories.
System analysis.
Electronic books.
Electronic books.
QA402 / .C38 1985eb
003