| 具有非线性扰动的不确定随机时变时滞系统的鲁棒镇定 |
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| 引用本文： | 李伯忍. 具有非线性扰动的不确定随机时变时滞系统的鲁棒镇定[J]. 数学杂志, 2016, 36(5): 898-908 |
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| 作者姓名： | 李伯忍 |
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| 作者单位： | 东莞理工学院计算机学院, 广东 东莞 523808 |
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| 基金项目： | Supported by the Guangdong Province Natural Science Foundation Project (2016A030313130) and the National Natural Science Foundation Project of China (11371154). |
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| 摘 要： | 本文研究了具有非线性扰动的不确定随机时变时滞系统的鲁棒镇定的问题.构造了适当的Lyapunov-Krasovskii泛函并利用自由权矩阵方法,借助于线性矩阵不等式(LMI)技术,设计了一个无记忆状态反馈控制器,并获得了不确定随机时变时滞系统的时滞依赖鲁棒镇定判据.数值例子及其仿真曲线表明所提出的理论结果是有效的.
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| 关 键 词： | 自由权矩阵 非线性扰动 时变时滞 反馈控制 |
| 收稿时间： | 2014-12-07 |
| 修稿时间： | 2015-04-07 |
ROBUST STABILIZATION OF UNCERTAIN STOCHASTIC SYSTEMS WITH TIME-VARYING DELAY AND NONLINEARITY |
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| LI Bo-ren. ROBUST STABILIZATION OF UNCERTAIN STOCHASTIC SYSTEMS WITH TIME-VARYING DELAY AND NONLINEARITY[J]. Journal of Mathematics, 2016, 36(5): 898-908 |
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| Authors: | LI Bo-ren |
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| Affiliation: | School of Computer, Dongguan University of Technology, Dongguan 523808, China |
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| Abstract: | In this paper, we study with robust stabilization problem of uncertain stochastic time-varying delay systems with nonlinear perturbation. Constructing a suitable Lyapunov-Krasovskii functional and employ the free weighting matrix method, in terms of the linear matrix inequality (LMI) technique, we design a memoryless state feedback controller, and obtain delay dependent robust stabilization criterion for the uncertain stochastic time-varying delay systems. A numerical example and its simulation curve are given to show that the proposed theoretical result is effective. |
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| Keywords: | free-weighting matrices nonlinear perturbation time-varying delay feedback control |
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