"Stability analysis of nonlinear Lyapunov systems associated with an nt" by Kanuri N. Murty and Michael D. Shaw
 

Document Type

Article

Publication Title

Journal of Applied Mathematics and Stochastic Analysis

Abstract

This paper introduces the notion of Lipschitz stability for nonlinear nth order matrix Lyapunov differential systems and gives sufficient conditions for Lipschitz stability. We develop variation of parameters formula for the solution of the nonhomogeneous nonlinear nth order matrix Lyapunov differential system. We study observability and controllability of a special system of nth order nonlinear Lyapunov systems.

First Page

141

Last Page

150

DOI

10.1155/S104895330200014X

Publication Date

2002

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