Nonlinear system theory / John L. Casti.
Material type: TextSeries: Mathematics in science and engineering ; v. 175.Publication details: Orlando : Academic Press, 1985.Description: 1 online resource (xi, 261 pages) : illustrationsContent type:- text
- computer
- online resource
- 9780121634520
- 0121634523
- 9780080958651
- 0080958656
- 1282289896
- 9781282289895
- 9786612289897
- 6612289899
- 003 22
- QA402 .C38 1985eb
- digitized 2010 HathiTrust Digital Library committed to preserve
Item type | Home library | Collection | Call number | Materials specified | Status | Date due | Barcode | |
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Electronic-Books | OPJGU Sonepat- Campus | E-Books EBSCO | Available |
Includes bibliographical references and index.
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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
English.
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