Random Iterative Models

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The recent development of computation and automation has lead to quick advances in the theory and practice of recursive methods for stabilization, identification and control of complex stochastic models (guiding a rocket or a plane, orgainizing multiaccess broadcast channels, self-learning of neural networks ...). This book provides a wide-angle view of those methods: stochastic approximation, linear and non-linear models, controlled Markov chains, estimation and adaptive control, learning ... Mathematicians familiar with the basics of Probability and Statistics will find here a self-contained account of many approaches to those theories, some of them classical, some of them leading up to current and future research. Each chapter can form the core material for a course of lectures. Engineers having to control complex systems can discover new algorithms with good performances and reasonably easy computation.

Author(s): Marie Duflo (auth.)
Series: Stochastic Modelling and Applied Probability 34
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1997

Language: English
Pages: 385
Tags: Probability Theory and Stochastic Processes; Algorithms

Front Matter....Pages I-XV
Front Matter....Pages 1-1
Traditional Problems....Pages 3-38
Rate of Convergence....Pages 39-74
Current Problems....Pages 75-86
Front Matter....Pages 87-87
Causality and Excitation....Pages 89-131
Linear Identification and Tracking....Pages 133-177
Front Matter....Pages 179-179
Stability....Pages 181-226
Nonlinear Identification and Control....Pages 227-266
Front Matter....Pages 267-267
Recurrence....Pages 269-304
Learning....Pages 305-347
Back Matter....Pages 349-387