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不确定随机时滞系统参数依赖鲁棒镇定
引用本文:腾香. 不确定随机时滞系统参数依赖鲁棒镇定[J]. 长春邮电学院学报, 2011, 0(2): 147-151
作者姓名:腾香
作者单位:渤海大学数理学院,辽宁锦州121000
基金项目:基金项目:国家自然科学基金资助项目(60974071)
摘    要:现有的一类具有凸多面体不确定随机时滞系统鲁棒镇定条件存在较大保守性,为此,研究了一类具有凸多面体不确定性随机时滞系统参数依赖鲁棒镇定问题。利用Lyapunov随机稳定理论和构造参数依赖的Lya—punov函数,以线性矩阵不等式(LMIs:LinearMatrixInequalities)的形式给出一类具有凸多面体不确定性随机时滞系统参数依赖鲁棒镇定的充分条件。并通过数值例子说明了该方法计算过程简单,结论精确,适用于工程中结果的有效性。

关 键 词:随机系统  鲁棒随机稳定  线性矩阵不等式

Parameter-Dependent Robust Stabilization of Uncertain Stochastic Time-Delay Systems
TENG Xiang. Parameter-Dependent Robust Stabilization of Uncertain Stochastic Time-Delay Systems[J]. Journal of Changchun Post and Telecommunication Institute, 2011, 0(2): 147-151
Authors:TENG Xiang
Affiliation:TENG Xiang (School of Mathematics and Physics, Bohai University, Jinzhou 121000, China)
Abstract:The problem of parameter-dependent robust stabization for stochastic time-delay systems with polytopic uncertainties is investigated due to the much more conservatism of the existing results. By using Lyapunov sto- chastic stability and constructing parameter-dependent Lyapunov functions, parameter-dependent robust stability sufficient condition is obtained in terms of LMIs ( Linear Matrix Inequalities). The proposed method is suitable to engineering due to its simple calculation and accurate result. An example is given to illustrate the effectiveness of results.
Keywords:stochastic systems  robust stochastic stability  linear matrix inequalities (LMIs)
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