Adaptation in dynamical systems
By: Ivan Tyukin
Publisher: Cambridge University Press
Published: 2011
Place of publication: Cambridge; New York
Language: eng
Number of pages: 410
ISBN-13: 9780521198196
Copyright date: 2011
Subjects: Control theory; Neurosciences; Mathematics; Mathematical models; Dynamics; SCIENCE / Physics
Description: "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 processing of information, to the more technical problems of friction compensation and adaptive classification of signals in fixed-weight recurrent neural networks. Largely devoted to the problems of adaptive regulation, tracking and identification, this book presents a unifying system-theoretic view on the problem of adaptation in dynamical systems. Special attention is given to systems with nonlinearly parameterized models of uncertainty. Concepts, methods and algorithms given in the text can be successfully employed in wider areas of science and technology. The detailed examples and background information make this book suitable for a wide range of researchers and graduates in cybernetics, mathematical modelling and neuroscience"--
Notes: Includes bibliographical references (p. 395-407) and index.
Table of contents: title: Machine generated contents note: Part I. Introduction and Preliminaries: 1. Introduction; 2. Preliminaries; 3. The problem of adaptation in dynamical systems; Part II. Theory: 4. Input-output analysis of uncertain dynamical systems; 5. Adaptive regulation in dynamical systems in presence of nonlinear parametrization and unstable target dynamics; Part III. Applications: 6. Adaptive behaviour in recurrent neural networks with fixed weights; 7. Adaptive template matching in systems for processing of visual information; 8. State and parameter estimation of neural oscillators; Appendix; References; Index.