Stability analysis of nonlinear Lyapunov systems associated withannth order system of matrix differential equations

摘要

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