| 随机时滞控制系统的均方BIBO稳定性 |
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| 引用本文： | 周霞,姚云飞,钟守铭.随机时滞控制系统的均方BIBO稳定性[J].应用数学,2012,25(3):672-677. |
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| 作者姓名： | 周霞 姚云飞 钟守铭 |
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| 作者单位： | 1. 阜阳师范学院数学与计算科学学院,安徽阜阳,236037
2. 电子科技大学数学科学学院,四川成都,611731 |
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| 基金项目： | 教育部、财政部资助项目国家特色专业(TS11496);阜阳师范学院博士科研启动项目 |
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| 摘 要： | 本文研究了具有时滞和非线性扰动的随机控制系统的均方有界输入-有界输出(BIBO)稳定.首先,探讨了具有离散时滞和非线性扰动的随机系统的均方BIBO稳定性问题,在此基础上,进一步研究带有离散时滞和分布时滞以及非线性扰动的随机系统的均方BIBO稳定性.通过设计合理的控制器,建立合适的Lyapunov泛函,结合Riccati矩阵方程,得到时滞依赖的均方BIBO稳定性条件.
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| 关 键 词： | 随机控制系统 时滞 非线性扰动 均方BIBO稳定 Riccati方程 |
BIBO Stabilization for Stochastic Control Systems with Time Delay |
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| ZHOU Xia
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YAO Yunfei
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ZHONG Shouming.BIBO Stabilization for Stochastic Control Systems with Time Delay[J].Mathematica Applicata,2012,25(3):672-677. |
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| Authors: | ZHOU Xia YAO Yunfei ZHONG Shouming |
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| Institution: | 1.School of Mathematics and Computational Science,Fuyang Teachers College,Fuyang 236037,China;2.College of Mathematical Sciences,University of Electronic Science and Technology of China,Chengdu 611731,China) |
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| Abstract: | The stochastic control systems with time delay and nonlinear perturbations is investigated for mean square bounded input bounded output (BIBO) stability.Fistly,the problem of mean square BIBO stability for the stochastic system with single discrete time delay is discussed.Then,on this base,the mean square BIBO stability for the stochastic system with multiple discrete delays and distributed delays is studied.By designing reasonable controller,constructing a class of suitable Lyapunov functional,combined with Riccati matrix equation,some delay dependent mean square BIBO stability criteria are established. |
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| Keywords: | Stochastic control system Time delay Nonlinear perturbation BIBO stabilization in mean square Riccati equation |
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