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具有分布时滞的灰色随机非线性系统的鲁棒稳定性

Robust Stability of Grey Stochastic Nonlinear Systems with Distributed-Delays
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摘要 利用灰矩阵的矩阵覆盖集的分解技术和矩阵的范数理论及Lyapunov-K rasovsk ii泛函法,研究了具有分布时滞的灰色随机非线性系统的鲁棒稳定性问题,得到了该系统鲁棒稳定的时滞依赖的线性矩阵不等式(LM Is)判据,并通过数值例子说明了所得的"LM Is判据"的有效性和实用性. The robust stability of grey stochastic nonlinear systems with distributed-delays is investigated by using the decomposition technique of the matrix-covered set of grey matrix and theory of matrix norm and by constructing Lyapunov-Krasovskii functional. The delaydependent Criteria for robust stability are obtained in term of linear matrix inequalities. A numerical example shows the effectiveness and practicality of the presented LMIs Criteria.
作者 苏春华 刘思峰
机构地区 南京航空航天大学经济与管理学院 信阳师范学院数学与信息科学学院
出处 《数学的实践与认识》 CSCD 北大核心 2008年第22期218-223,共6页 Mathematics in Practice and Theory
关键词 灰色随机系统 鲁棒稳定性 分布时滞 LYAPUNOV-KRASOVSKII泛函 灰矩阵 Grey stochastic systems Robust stability Distributed-delays Lyapunov- Krasovskii functional l.inear matrix inequality Grey matrix
分类号 N941.5 [自然科学总论—系统科学]
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数学的实践与认识
2008年 第22期

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