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Hyperstability of Control Systems

Language EnglishEnglish
Book Paperback
Book Hyperstability of Control Systems Vasile M. Popov
Libristo code: 06622275
15 Liapunov's "second method" eliminates this drawback and leads to accurate conclusions regarding t... Full description
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15 Liapunov's "second method" eliminates this drawback and leads to accurate conclusions regarding the stability of well-defined families of systems. This method made it natural to introduce the new notion of "absolute stability" whose origin can be traced to a work of . A. I. Lur'e and V. N. Post nikov [1]. The results of the many investigations effected to date in the field of absolute stability have been presented in a number of monographs, from which we mention (in chrono logical order) . A. I. Lur'e [1], . A. M. Letov [1], . A. Halanay Fig. 1. 2 [1], M . . A . . Aizerman and F. R. Gantmacher [1] and S. Lef schetz [1]. Without going into a detailed exposition of these results (see the final chapter of this book), we shall discuss here only the manner in which one defines the families of systems that are studied. These systems are characterized by the fact that in Relation (4) - which describes the non-linear block B2 (Fig. 1. 1) - the function cp is continuous, vanishes for v = 0 and satisfies the inequality cp( v)v 0 for every v =/= o. (6) In other words, the graph of function cp is entirely contained in the quadrants I and III; it may have, for instance, a shape similar to that shown in Fig. 1. 2. The object of the study of absolute stability consists in finding a criterion which secures simultaneously the stability of all the systems characterized by Condition (6) .

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About the book

Full name Hyperstability of Control Systems
Language English
Binding Book - Paperback
Date of issue 2011
Number of pages 400
EAN 9783642656569
ISBN 9783642656569
Libristo code 06622275
Weight 583
Dimensions 152 x 229 x 22
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