Stabilization for Markovian Jump Systems with Additive Time-varying Delays

机译：具有附加时变延迟的马尔可夫跳跃系统的稳定

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摘要

In this paper, the problem of stabilization for Markovian jump systems with additive time-varying delays is considered. First of all, by constructing a new Lyapunov functional with triple integral terms, using new inequalities, convex combination technique and combining with other analytical techniques, the stochastically stability and stabilization conditions of the Markovian jump systems in terms of linear matrix inequalities with lower conservatism are obtained. Then, the controller of the closed-loop system is designed by the transformation technique of inequalities. Finally, a numerical example is given to verify the effectiveness of the provided method and the superiority of the results.

机译：在本文中，考虑了具有附加时间变化延迟的马尔可夫跳跃系统的稳定问题。首先，通过用三重积分术语构建新的Lyapunov功能，使用新的不等式，凸组合技术和与其他分析技术相结合，马尔可道跳跃系统的随机稳定性和稳定条件在具有较低保守的线性矩阵不等式方面获得。然后，闭环系统的控制器由不等式的转换技术设计。最后，给出了数值例子来验证所提供的方法的有效性和结果的优越性。

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《International Conference on Electrical, Control and Automation Engineering》|2018年|351p|共7页
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Haiyang Zhang; Zhipeng Qiu; Lianglin Xiong; Yanmeng Wang;
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中图分类 TP2-53;
关键词
Markovian jump systems; Additive time-varying delays; Stochastically stabilization; Linear matrix inequalities;

机译：Markovian跳跃系统;添加时变延迟;随机稳定;线性矩阵不等式;

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1. Comments on "delayed-state-feedback exponential stabilization for uncertain Markovian jump systems with mode-dependent time-varying state delays" [J] . Zohrabi N., Momeni H.R., Abolmasoumi A.H. Nonlinear dynamics . 2013,第3期

机译：关于“具有依赖于模式的时变状态时滞的不确定马尔可夫跳跃系统的延迟状态反馈指数镇定”的评论
2. Delayed-state-feedback exponential stabilization for uncertain Markovian jump systems with mode-dependent time-varying state delays [J] . Chen H., Zhu C., Hu P., Nonlinear dynamics . 2012,第3期

机译：具有模式相关时变状态时滞的不确定Markovian跳跃系统的时滞状态反馈指数镇定
3. Erratum: Delayed-state-feedback exponential stabilization for uncertain Markovian jump systems with mode-dependent time-varying state delays (Nonlinear Dynamics (2012) 69 (1023-1039) DOI: 10.1007/s11071-012-0324-3) [J] . Chen H., Zhu C., Hu P., Nonlinear dynamics . 2012,第1期

机译：勘误表：具有依赖于模式的时变状态延迟的不确定Markovian跳跃系统的延迟状态反馈指数稳定（非线性动力学（2012）69（1023-1039）DOI：10.1007 / s11071-012-0324-3）
4. Stabilization for Markovian Jump Systems with Additive Time-varying Delays [C] . Haiyang Zhang, Zhipeng Qiu, Lianglin Xiong, International Conference on Electrical, Control and Automation Engineering . 2018

机译：具有附加时变延迟的马尔可夫跳跃系统的稳定
5. Control of time-delayed Markovian jump linear systems. [D] . Beane, Carlos D. 2010

机译：时滞马尔可夫跳跃线性系统的控制。
6. New Stabilization for Dynamical System with Two Additive Time-Varying Delays [O] . Lianglin Xiong, Fan Yang, Xiaozhou Chen -1

机译：具有两个相加时变时滞的动力系统的新镇定
7. Stabilization for Markovian Jump Systems with Additive Time-varying Delays [O] . Haiyang Zhang, Zhipeng Qiu, Lianglin Xiong, 2018

机译：具有附加时变延迟的马尔可夫跳跃系统的稳定

Stabilization for Markovian Jump Systems with Additive Time-varying Delays

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