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.
Ivan Tyukin is an RCUK Academic Fellow in the Department of Mathematics, University of Leicester. His research interests cover many areas, including the analysis, modelling and synthesis of systems with fragile, nonlinear, chaotic, and meta-stable dynamics.
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.