Mathematics and Its Applications

By: A.I. Matasov

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Hardcover | 31 January 1999

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Hardcover
436 Pages

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24.13 x 15.88 x 3.18

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The optimal estimation problems for linear dynamic systems, and in particular for systems with aftereffect, reduce to different variational problems. The type and complexity of these variational problems depend on the process model, the model of uncertainties, and the estimation performance criterion. A solution of a variational problem determines an optimal estimator. In addition, frequently the optimal algorithm for one noise model must operate under another, more complex assumption about noise. Hence, simplified algorithms must be used. It is important to evaluate the level of nonoptimality for the simplified algorithms. Since the original variational problems can be very difficult, the estimate of nonoptimality must be obtained without solving the original variational problem.
In this book, guaranteed levels of nonoptimality for simplified estimation and control algorithms are constructed. To obtain these levels the duality theory for convex extremal problems is used.
Audience: This book will be of interest to applied mathematicians, researchers and engineers who deal with estimation and control systems. The material, which requires a good knowledge of calculus, is also suitable for a two-semester graduate or postgraduate course.

Industry Reviews

`...very useful publication which gives a broad vision of the problem under discussion, giving a deep understanding of how to deal with uncertainty in estimation problems and how to organize the calculations. It may be recommended as a very good introduction and reference book for those who are interested in solving real-life applied problems of filtering and estimation.'
IEEE Transactions on Automatic Control, 46:3 (2001)
`We recommend this monograph which provides a broad vision of the state estimation problem.'
Automatica, 38 (2002)

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Paperback

Published: 6th October 2012

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Preface
Guaranteed Parameter Estimation	p. 1
Guaranteed Estimation in Dynamic Systems	p. 79
Kalman Filter in Guaranteed Estimation Problem	p. 161
Stochastic Guaranteed Estimation Problem	p. 239
Estimation Problems in Systems With Aftereffect	p. 315
Bibliography	p. 405
Index	p. 417
Table of Contents provided by Blackwell. All Rights Reserved.

Mathematics and Its Applications

At a Glance

Hardcover

Industry Reviews

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Paperback

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