Some Problems of Second Method of Lyapunov in Discrete Systems

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Li Zhong, Huang Lin. Some Problems of Second Method of Lyapunov in Discrete Systems[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1109-1115.

Citation:

Li Zhong, Huang Lin. Some Problems of Second Method of Lyapunov in Discrete Systems[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1109-1115.

Citation:

Li Zhong, Huang Lin. Some Problems of Second Method of Lyapunov in Discrete Systems[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1109-1115.

Abstract

The geometric properties of the solution set of Lyapunov equation of linear time-invariant discrete system are discussed. Furthermore,the stabitility of piecewise linear discrete systems is studied and some sufficient conditions are obtained for the asymptotical stability of piecewise linear discrete systems in which each sub-system is stable. The results are applied to second order piecewise linear systems.

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