Lyapunov’s Second Method for Estimating Region of Asymptotic Stability

by Open Science Repository Mathematics
(March 2013)

Abstract


This seminar basically consists of three chapters. The first chapter converses the background about Lyapunov’s second method of estimating region of asymptotical stability (RAS) and mathematical preliminaries which will be needed in the next two chapters. The second chapter deals with Lyapunov’s second method for estimating region of asymptotic stability of autonomous nonlinear differential system. Chapter three deals with estimating region of asymptotic stability of nonautonomous system. Finally I summarize Lyapunov’s second method of estimating RAS.

Keywords: Lyapunov’s second method, asymptotic stability, autonomous nonlinear differential system, nonautonomous system.

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doi: 10.7392/Mathematics.70081944.

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