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• W2977674706 abstract "Abstract We study finite-time stability (FTS) for discrete-time systems with time-varying delay in this paper. Effect of nonlinear perturbations is also studied. Novel weighted summation inequalities, which generalize the discrete Jensen-based inequality, are established. These inequalities are used to analyze a Lyapunov-Krasovskii functional with a certain weight. New FTS criteria are derived to guarantee that the state of a system stays within a given threshold on a given interval. Numerical examples show that the new criteria can yield better results than others given in previous works." @default.
• W2977674706 created "2019-10-10" @default.
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• W2977674706 date "2020-01-01" @default.
• W2977674706 modified "2023-10-16" @default.
• W2977674706 title "Finite-time stability for discrete-time systems with time-varying delay and nonlinear perturbations by weighted inequalities" @default.
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• W2977674706 doi "https://doi.org/10.1016/j.jfranklin.2019.09.028" @default.
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