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- W3201363515 abstract "The problem of delay-dependent stability is concerned for two-dimensional switched systems in Fornasini-Marchesini local state-space model with mixed time-varying delays and with a class of generalised Lipschitz nonlinearities in this paper. The mixed time-varying delays consist of both the discrete and the distributed delays, and the time-varying delays are allowed in the states. Adopting the fast average dwell-time switching technique with Lyapunov functional, a sufficient condition of the exponential stability for two-dimensional nonlinear switched systems with all subsystems unstable is derived in terms of linear matrix inequality. Specifically, two-dimensional Abel lemma-based finite-sum inequalities approach and Jensen inequalities approach are applied to reduce the conservativeness of the result. The obtained result on stability analysis is then utilised to design a dynamic output feedback controller to stabilise the nonlinear closed-loop switched system. Finally, two numerical examples are shown to demonstrate the validity of the proposed results." @default.
- W3201363515 created "2021-09-27" @default.
- W3201363515 creator A5017153530 @default.
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- W3201363515 date "2021-09-22" @default.
- W3201363515 modified "2023-09-26" @default.
- W3201363515 title "Stabilisation for 2-D discrete-time switched nonlinear systems with mixed time-varying delays under all modes unstable" @default.
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- W3201363515 doi "https://doi.org/10.1080/00207721.2021.1972356" @default.
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