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Fb2 Adaptation in Dynamical Systems ePub

by Ivan Tyukin

Category: Mathematics
Subcategory: Science books
Author: Ivan Tyukin
ISBN: 0521198194
ISBN13: 978-0521763523
Language: English
Publisher: Cambridge University Press; 1 edition (March 28, 2011)
Pages: 428
Fb2 eBook: 1285 kb
ePub eBook: 1378 kb
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Adaptation in Dynamical Systems Hardcover – 28 Feb 2011. Ivan Tyukin is an RCUK Academic Fellow in the Department of Mathematics, University of Leicester. by. Ivan Tyukin (Author).

Cambridge Core - Nonlinear Science and Fluid Dynamics - Adaptation in Dynamical Systems - by Ivan Tyukin. Fast social-like learning of complex behaviors based on motor motifs.

Adaptation in Nonlinear Dynamical Systems (Adaptatsiya v nelineinykh dinamicheskikh sistemakh). Adaptation algorithms in finite form for nonlinear dynamic objects. Automation and Remote Control 64 (6), 951-974, 2003. IY Tyukin, VA Terekhov. Semi-passivity and synchronization of diffusively coupled neuronal oscillators. E Steur, I Tyukin, H Nijmeijer. Physica D: Nonlinear Phenomena 238 (21), 2119-2128, 2009. Adaptive Control in Technical Sytems (Adaptivnoe Upravlenie v Tekhnicheskikh Systemakh). VN Antonov, VA Terekhov, IY Tyukin. СП. Издательство . Петербургского университета, 2001.

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Ivan Tyukin Adaptation is a widespread phenomenon in nervous systems, providing flexibility to function under varying external conditions.

A class of adaptation algorithms for adaptive control of nonlinear dynamic objects of a class is introduced. Implementation of algorithms without the need for direct measurements of the first time derivatives is investigated and sufficient conditions for the existence of such algorithms are formulated. Adaptation is a widespread phenomenon in nervous systems, providing flexibility to function under varying external conditions. Here, we relate an adaptive property of a sensory system directly to its function as a carrier of information about input signals.

Adaptation in Dynamical Systems: Index. 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 . (More).

Ivan Tyukin; Cees van Leeuwen. We propose a technique for the design and analysis of decentralized adaptation algorithms in interconnected dynamical systems. Our technique does not require Lyapunov stability of the target dynamics and allows nonlinearly parameterized uncertainties. We show that for the considered class of systems, conditions for reaching the control goals can be formulated in terms of the nonlinear L 2-gains of target dynamics of each interconnected subsystem. Equations for decentralized controllers and corresponding adaptation algorithms are also explicitly provided.

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.
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