Ellipsoidal Calculus for Estimation and Control / Edition 1

Ellipsoidal Calculus for Estimation and Control / Edition 1

by Alexander Kurzhanski, Istvan Valyi
     
 

ISBN-10: 0817636994

ISBN-13: 9780817636999

Pub. Date: 09/01/1996

Publisher: Birkhauser Verlag

The investigation of control and estimation problems under unknown but bounded errors and disturbances, as well as those of differential games and related issues, may lead to solutions and procedures formulated in terms of sets and set-valued functions. However the relevant mathematical tools are usually complicated and not easy to apply, even in the linear-convex

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Overview

The investigation of control and estimation problems under unknown but bounded errors and disturbances, as well as those of differential games and related issues, may lead to solutions and procedures formulated in terms of sets and set-valued functions. However the relevant mathematical tools are usually complicated and not easy to apply, even in the linear-convex case. This book gives an account of an ellipsoidal calculus and ellipsoidal techniques, developed by the authors, that allows presentation of the set-valued solutions to these problems in terms of approximating ellipsoidal-valued functions. Such an attack leads to effective computation schemes and opens the way to applications and implementations with computer animation, particularly in decision support systems. The problems treated here are those that involve calculation of attainability domains, of control synthesis under bounded controls, state constraints and unknown input disturbances, as well as those of "viability" and of the "bounding approach" to state estimation. The text ranges from a specially developed theory of exact set-valued solutions to the description of ellipsoidal calculus, related ellipsoidal-based methods and examples worked out with computer graphics.

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Product Details

ISBN-13:
9780817636999
Publisher:
Birkhauser Verlag
Publication date:
09/01/1996
Series:
Systems & Control: Foundations & Applications Series
Edition description:
1994
Pages:
344
Product dimensions:
6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

Preface
Pt. IEvolution and Control: The Exact Theory1
Pt. IIThe Ellipsoidal Calculus91
Pt. IIIEllipsoidal Dynamics: Evolution and Control Synthesis177
Pt. IVEllipsoidal Dynamics: State Estimation and Viability Problems247
Bibliography291
Index319

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