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Exponential stability analysis for a class of neutral singular Markovian jump systems with time-varying delays

机译:一类具有时变时滞的中立奇异马尔可夫跳跃系统的指数稳定性分析

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This paper deals with the exponential stability problem for a class of neutral singular systems with Markovian jump parameters. The considered systems involve time-varying delays not only in their state but also in their derivatives of state. By using the Lyapunov-Krasovskii functional method, some sufficient conditions are derived, which ensure that the considered systems are regular, impulse-free and exponentially stable. Finally, some numerical examples are employed to demonstrate the effectiveness of the obtained approaches. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
机译:本文研究了一类具有马尔可夫跳跃参数的中立奇异系统的指数稳定性问题。所考虑的系统不仅在其状态而且在其状态导数中都包含时变延迟。通过使用Lyapunov-Krasovskii泛函方法,得出了一些充分的条件,这些条件确保了所考虑的系统是规则的,无脉冲的并且是指数稳定的。最后,通过一些数值例子来说明所获得方法的有效性。 (C)2019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》 |2019年第12期|6015-6040|共26页
  • 作者单位

    Chongqing Univ Technol, Sch Sci, Chongqing 400054, Peoples R China;

    Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China;

    Hunan Inst Technol, Sch Math Phys & Energy Engn, Hengyang 421002, Peoples R China;

    Qingdao Univ Sci & Technol, Coll Automat & Elect Engn, Qingdao 266061, Shandong, Peoples R China;

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