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Delay-dependent exponential stability, criteria for stochastic systems with polytopic-type uncertainties
  • ISSN号：2095-6983
  • 期刊名称：《控制理论与技术：英文版》
  • 时间：0
  • 分类：TP183[自动化与计算机技术—控制科学与工程;自动化与计算机技术—控制理论与控制工程] TP13[自动化与计算机技术—控制科学与工程;自动化与计算机技术—控制理论与控制工程]
  • 作者机构：[1]Institute of Mathematics and System Science, Xinjiang University, Urumuqi Xinjiang 830046, China, [2]Institute of Electrical Engineering, Yanshan University, Qinhuangdao Hebei 066004, China
  • 相关基金：This work was supported by the National Natural Science Foundation of China （No.60525303, 60604004, 60704009） and Natural Science Foundation of Hebei Province, China （No.F2005000390, F2006000270）.
作者： Yumei LI[1,2], Xinping GUAN[2], Dan PENG[2], Changchun HUA[2], Xiaoyuan LUO[2]
关键词： 指数稳定性, 时滞相关, 随机系统, 标准, 线性矩阵不等式, Lyapunov, 体型, 均方指数稳定, Stochastic system, Exponential stability in mean square, Time-varying state delay, Delay-dependent criteria, Linear matrix inequality （LMI）
中文摘要：

这篇论文认为延期依赖者的问题指数在为有 polytopic 类型不确定性和变化时间的延期的随机的系统的吝啬的平方的稳定性。使用描述符模型转变并且介绍免费 weighting 矩阵， Lyapunov-Krasovskii 的一种新类型功能基于线性矩阵不平等(LMI ) 被构造，并且一些新延期依赖者标准被获得。这些标准包括 delay-independent/ratedependent 和 delay-dependent/rate-independent 指数的稳定性标准。这些新标准不比存在的保守。数字例子证明这些新标准是有效的并且是超过存在的改进。

英文摘要：

This paper considers the problem of delay-dependent exponential stability in mean square for stochastic systems with polytopic-type uncertainties and time-varying delay. Applying the descriptor model transformation and introducing free weighting matrices, a new type of Lyapunov-Krasovskii functional is constructed based on linear matrix inequalities （LMIs）, and some new delay-dependent criteria are obtained. These criteria include the delay-independent/rate- dependent and delay-dependent/rate-independent exponential stability criteria. These new criteria are less conservative than existing ones. Numerical examples demonstrate that these new criteria are effective and are an improvement over existing ones.

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期刊信息
  • 《控制理论与技术：英文版》
  • 主管单位:国家教育部
  • 主办单位:华南理工大学 中科院数学与系统科学研究院
  • 主编：胡跃明
  • 地址：广州市天河区五山路381号华南理工大学
  • 邮编：510640
  • 邮箱：jcta@scut.edu.cn
  • 电话：020-87111464
  • 国际标准刊号：ISSN：2095-6983
  • 国内统一刊号：ISSN：44-1706/TP
  • 邮发代号:46-319
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国工程索引
  • 被引量:69