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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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0893-3405 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 fu
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Preliminaries,In this chapter we present bits of information from the theory of finite dimensional systems, which will be systematically used in the next chapters.
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Linear Finite Dimensional Systems (Continuation),In the present chapter we continue to investigate linear finite dimensional systems.
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Nonlinear Finite Dimensional Systems with Time-Variant Linear Parts,The present chapter is devoted to systems with linear time-variant leading parts. In Section 6.1 the asymptotic stability of systems with general nonautonomous leading parts is discussed. Section 6.2 deals with systems whose linear parts satisfy the Lipschitz conditions. Conditions for asymptotic stability are established.
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