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- W2039962335 abstract "Local asymptotic stability of nonlinear systems with real-parametric uncertainty or disturbance is one of the important problems in the control systems literature. In this paper, we investigate the problem of asymptotic stability for discrete-time nonlinear systems with time-varying disturbance. We assume that the disturbance vector is generated by an exosystem, which is neutrally stable . Thus, the disturbances that we consider include both constant and periodic signals. For this class of nonlinear systems with time-varying disturbance, we derive a necessary condition for local asymptotic stability of equilibria. As corollaries of our general result, we deduce the necessary condition obtained by Sundarapandian [1] for discrete-time nonlinear systems with constant real parametric uncertainty, and the necessary condition obtained by Lin and Byrnes [2] for discrete-time nonlinear autonomous systems. We illustrate our result with several examples." @default.
- W2039962335 created "2016-06-24" @default.
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- W2039962335 date "2006-02-01" @default.
- W2039962335 modified "2023-09-23" @default.
- W2039962335 title "A necessary condition for local asymptotic stability of discrete-time nonlinear systems with exogenous disturbance" @default.
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- W2039962335 doi "https://doi.org/10.1016/j.camwa.2005.01.031" @default.
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