Frequency Domain Criteria for Absolute Stability: A Delay-integral-quadratic Constraints Approach by Dmitry AltshullerFrequency Domain Criteria for Absolute Stability: A Delay-integral-quadratic Constraints Approach by Dmitry Altshuller

Frequency Domain Criteria for Absolute Stability: A Delay-integral-quadratic Constraints Approach

byDmitry Altshuller

Paperback | July 22, 2012

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Frequency Domain Criteria for Absolute Stability focuses on recently-developed methods of delay-integral-quadratic constraints to provide criteria for absolute stability of nonlinear control systems. The known or assumed properties of the system are the basis from which stability criteria are developed. Through these methods, many classical results are naturally extended, particularly to time-periodic but also to nonstationary systems. Mathematical prerequisites including Lebesgue-Stieltjes measures and integration are first explained in an informal style with technically more difficult proofs presented in separate sections that can be omitted without loss of continuity.
The results are presented in the frequency domain - the form in which they naturally tend to arise. In some cases, the frequency-domain criteria can be converted into computationally tractable linear matrix inequalities but in others, especially those with a certain geometric interpretation, inferences concerning stability can be made directly from the frequency-domain inequalities.
The book is intended for applied mathematicians and control systems theorists. It can also be of considerable use to mathematically-minded engineers working with nonlinear systems.
Title:Frequency Domain Criteria for Absolute Stability: A Delay-integral-quadratic Constraints ApproachFormat:PaperbackDimensions:180 pagesPublished:July 22, 2012Publisher:Springer LondonLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:1447142330

ISBN - 13:9781447142331

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Table of Contents

A Historical Survey.- Foundations.- Stability Multipliers.- Time-periodic Systems.