ADAPTATION IN DYNAMICAL SYSTEMS /

"In the context of this book, adaptation is taken to mean a feature of a system aimed at achieving the best possible performance, when mathematical models of the environment and the system itself are not fully available. This has applications ranging from theories of visual perception and the p...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Tyukin, Ivan
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2011, ©2011.
Temas:
Dynamics.
Control theory > Mathematical models.
Neurosciences > Mathematics.
Dynamique.
Théorie de la commande > Modèles mathématiques.
Neurosciences > Mathématiques.
kinetics (dynamics)
SCIENCE > Physics.
MATHEMATICS > Differential Equations > General.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • Half-title
  • Title
  • Copyright
  • Contents
  • Preface
  • Notational conventions
  • Part I Introduction and preliminaries
  • 1 Introduction
  • 1.1 Observation problems
  • 1.2 Regulation problems
  • 1.3 Summary
  • 2 Preliminaries
  • 2.1 Attracting sets and attractors
  • 2.2 Barbalat's lemma
  • 2.3 Basic notions of stability
  • 2.4 The method of Lyapunov functions
  • 2.5 Linear skew-symmetric systems with time-varying coefficients
  • 3 The problem of adaptation in dynamical systems
  • 3.1 Logical principles of adaptation
  • 3.2 Formal definitions of adaptation and mathematical statements of the problem of adaptation
  • 3.3 Adaptive control for nonlinear deterministic dynamical systems
  • 3.4 Applicability issues of conventional methods of adaptive control and regulation
  • 3.5 Summary
  • Part II Theory
  • 4 Input
  • output analysis of uncertain dynamical systems
  • 4.1 Operator description of dynamical systems
  • 4.2 Inputoutput and inputstate characterizations of stable systems
  • 4.3 Inputoutput and inputstate analysis of uncertain unstable systems
  • 4.4 Asymptotic properties of systems withlocally bounded inputoutput and inputstate mappings
  • 4.5 Asymptotic properties of a class of unstable systems
  • Appendix to Chapter 4
  • 5 Algorithms of adaptive regulation and adaptation in dynamical systems in the presence of nonlinear parametrization and/or possibly unstable target dynamics
  • 5.1 Problems of adaptive control of nonlinear systems in the presence of nonlinear parametrization
  • 5.2 Direct adaptive control
  • 5.3 Adaptive regulation to invariant sets
  • 5.4 Adaptive control of interconnected dynamical systems
  • 5.5 Non-dominating adaptive control for dynamical systems with nonlinear parametrization of a general kind
  • 5.6 Parametric identification of dynamical systems with nonlinear parametrization
  • Appendix to Chapter 5
  • Part III Applications
  • 6 Adaptive behavior in recurrent neural networks with fixed weights
  • 6.1 Signals to be classified
  • 6.2 The class of recurrent neural networks
  • 6.3 Assumptions and statement of the problem
  • 6.4 The existence result
  • 6.5 Summary
  • 7 Adaptive template matching in systems for processing of visual information
  • 7.1 Preliminaries and problem formulation
  • 7.2 A simple adaptive system for invariant template matching
  • 7.3 Examples
  • 7.4 Summary
  • 8 State and parameter estimation of neural oscillators
  • 8.1 Observer-based approaches to the problem of stateand parameter estimation
  • 8.2 The feasibility of conventional adaptive-observer canonical forms
  • 8.3 Universal adaptive observers for conductance-based models
  • 8.4 Examples
  • 8.5 Summary
  • Appendix. The MeyerKalmanYakubovich lemma
  • References
  • Index.

Ejemplares similares