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YU Su-juan, WANG Zhi-ming. Stability Criterion for Nonlinear Time-Varying Discrete-time Systems(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2007, (1): 47-50.
Citation:
YU Su-juan, WANG Zhi-ming. Stability Criterion for Nonlinear Time-Varying Discrete-time Systems(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2007, (1): 47-50.
YU Su-juan, WANG Zhi-ming. Stability Criterion for Nonlinear Time-Varying Discrete-time Systems(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2007, (1): 47-50.
Citation:
YU Su-juan, WANG Zhi-ming. Stability Criterion for Nonlinear Time-Varying Discrete-time Systems(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2007, (1): 47-50.
The asymptotic stability of nonlinear time-varying discrete-time systems was studied by using Lyapunov approach. If there exists time independent Lyapunov function V that is positively definite, and its difference is non-increased along the solutions of the systems, plus the additional condition imposed as the one of statements of the Barbashin-Krasovskii theorem, theconclusion of asymptotic stability will be obtained. In applications of Theorem 1 to the time-invariant and periodic systems respectively, the LaSalle theorem and Barbashin-Krasovskii theorem can be reobtained.