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

journal of applied mathematics and stochastic analysis

Stability analysis of nonlinear Lyapunov systems associated with an <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$n$" id="E1"><mml:mi>n</mml:mi></mml:math>th order system of matrix differential equations

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