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首页> 外文期刊>ISA Transactions >Finite-time stability for discrete-time system with time-varying delay and nonlinear perturbations
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Finite-time stability for discrete-time system with time-varying delay and nonlinear perturbations

机译：具有时变时滞和非线性摄动的离散时间系统的有限时间稳定性

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In this paper, the problem of finite-time stability for discrete-time system with time-varying delay and nonlinear perturbations is investigated. By constructing a novel Lyapunov-Krasovskii functional and employing a new summation inequality named discrete Wirtinger-based inequality, reciprocally convex approach and zero equality, the improved finite-time stability criteria are derived to guarantee that the state of the system with time-varying delay does not exceed a given threshold when fixed time interval. Furthermore, the obtained conditions are formulated in forms of linear matrix inequalities which can be solved by using some standard numerical packages. Finally, three numerical examples are given to show the effectiveness and less conservatism of the proposed method. (C) 2015 ISA. Published by Elsevier Ltd. All rights reserved.
机译：本文研究了具有时变时滞和非线性摄动的离散时间系统的有限时间稳定性问题。通过构造新颖的Lyapunov-Krasovskii泛函并使用新的求和不等式，即基于离散Wirtinger的不等式，双凸方法和零等式，导出了改进的有限时稳定性准则，以确保时变时滞系统的状态固定时间间隔时，不超过给定阈值。此外，获得的条件以线性矩阵不等式的形式表示，可以使用一些标准的数值软件包来求解。最后，给出了三个数值例子，说明了该方法的有效性和保守性。 （C）2015 ISA。由Elsevier Ltd.出版。保留所有权利。

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