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
Recommended Citation
K. N. Murty and Michael D. Shaw, “Stability analysis of nonlinear Lyapunov systems associated withan nth order system of matrix differential equations,” Journal of Applied Mathematics and Stochastic Analysis, vol. 15, no. 2, pp. 141-150, 2002. doi:10.1155/S104895330200014X