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Finite-time stability for discrete-time systems with time-varying delay and nonlinear perturbations by weighted inequalities

机译:具有时变时滞和加权不等式的非线性摄动的离散时间系统的有限时间稳定性

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摘要

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. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
机译:本文研究具有时变时滞的离散时间系统的有限时间稳定性(FTS)。还研究了非线性摄动的影响。建立了新的加权求和不等式,它推广了基于离散詹森的不等式。这些不等式用于分析具有一定权重的Lyapunov-Krasovskii泛函。导出新的FTS标准以确保系统状态在给定间隔内保持在给定阈值内。数值算例表明,与以前的工作相比,新标准可以产生更好的结果。 (C)2019富兰克林研究所。由Elsevier Ltd.出版。保留所有权利。

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