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Asynchronously finite-time control of discrete impulsive switched positive time-delay systems

机译:离散脉冲切换正时滞系统的异步有限时间控制

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The finite-time control for a class of discrete impulsive switched positive time-delay systems under asynchronous switching is discussed in this paper. First, by choosing a Lyapunov-Krasovskii functional, some sufficient conditions for the existence of a family of asynchronously switched controllers are derived such that the resulting closed-loop system is finite-time stable based on the mode-dependent average dwell time approach. Second, the specific form of desired controller gains is given. Moreover, all the obtained results are formulated in terms of algebraic matrix inequalities which can be solved by virtue of LP toolbox. Finally, a numerical example is exploited to show that the obtained results are effective. (C) 2015 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
机译:讨论了一类离散切换的正切换时滞系统的时滞控制。首先,通过选择一个Lyapunov-Krasovskii泛函,得出了一系列异步开关控制器存在的充分条件,从而使得所得的闭环系统基于依赖于模式的平均停留时间方法是有限时间稳定的。其次,给出了所需控制器增益的特定形式。此外,所有获得的结果都是用代数矩阵不等式表示的,可以通过LP工具箱解决。最后,利用数值例子说明了所获得的结果是有效的。 (C)2015富兰克林研究所。由Elsevier Ltd.出版。保留所有权利。

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  • 来源
    《Journal of the Franklin Institute》 |2015年第10期|4503-4514|共12页
  • 作者单位

    Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710119, Peoples R China.;

    Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710119, Peoples R China.;

    Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710119, Peoples R China.;

    Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710119, Peoples R China.;

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  • 入库时间 2022-08-18 02:57:48

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