Nonlinear system theory /

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Casti, J. L.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Orlando : Academic Press, 1985.
Colección:Mathematics in science and engineering ; v. 175.
Temas:
System analysis.
Nonlinear theories.
Systems Analysis
Analyse de systèmes.
Théories non linéaires.
systems analysis.
SCIENCE > System Theory.
TECHNOLOGY & ENGINEERING > Operations Research.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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

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