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Titlebook: Stability of Finite and Infinite Dimensional Systems; Michael I. Gil’ Book 1998 Springer Science+Business Media New York 1998 control.cont

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书目名称Stability of Finite and Infinite Dimensional Systems
编辑Michael I. Gil’
视频video
丛书名称The Springer International Series in Engineering and Computer Science
图书封面Titlebook: Stability of Finite and Infinite Dimensional Systems;  Michael I. Gil’ Book 1998 Springer Science+Business Media New York 1998 control.cont
描述The aim of .Stability of Finite and Infinite DimensionalSystems. is to provide new tools for specialists in control systemtheory, stability theory of ordinary and partial differentialequations, and differential-delay equations. ..Stability of Finite and Infinite Dimensional Systems. is thefirst book that gives a systematic exposition of the approach tostability analysis which is based on estimates for matrix-valued andoperator-valued functions, allowing us to investigate various classesof finite and infinite dimensional systems from the unified viewpoint.This book contains solutions to the problems connected with theAizerman and generalized Aizerman conjectures and presents fundamentalresults by A. Yu. Levin for the stability of nonautonomous systemshaving variable real characteristic roots. ..Stability of Finite and Infinite Dimensional Systems. is intendednot only for specialists in stability theory, but for anyoneinterested in various applications who has had at least a first-yeargraduate-level course in analysis.
出版日期Book 1998
关键词control; control system; differential equation; partial differential equation; stability; stability theor
版次1
doihttps://doi.org/10.1007/978-1-4615-5575-9
isbn_softcover978-1-4613-7550-0
isbn_ebook978-1-4615-5575-9Series ISSN 0893-3405
issn_series 0893-3405
copyrightSpringer Science+Business Media New York 1998
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Essentially Nonlinear Finite Dimensional Systems,ms having the Lipschitz property. In Section 7.2 we consider nonlinear systems with differentiable right parts. In Section 7.3 we derive solution estimates which generalize the Lozinskii and Wazewski inequalities Nonlinear systems with linear majorants are discussed in Section 7.4. Section 7.5 is de
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Linear Time-Variant Systems with Delay,ction 9.2 is devoted to the stability of systems with bounded coefficients and separated autonomous parts. The freezing method for systems with delay is developed in Sections 9.3 and 9.4. Integrally small perturbations of nonautonomous systems are examined in Section 9.5. In Section 9.6 we establish
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Linear Time-Variant Systems with Delay,is developed in Sections 9.3 and 9.4. Integrally small perturbations of nonautonomous systems are examined in Section 9.5. In Section 9.6 we establish the generalized Wazewski and Lozinskii inequalities. Linear time-variant retarded systems with small delays are investigated in Section 9.7.
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