Stability analysis of nonlinear Lyapunov systems associated with an n th order system of matrix differential equations

K. N. Murty and Michael D. Shaw

International Journal of Stochastic Analysis, 2002, vol. 15, 1-10

Abstract:

This paper introduces the notion of Lipschitz stability for nonlinear n th 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 n th order matrix Lyapunov differential system. We study observability and controllability of a special system of n th order nonlinear Lyapunov systems.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:121829

DOI: 10.1155/S104895330200014X

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