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具有分布时滞和区间参数的随机系统的p-阶矩指数鲁棒稳定性 被引量：3

p-Moment Exponential Robust Stability for Stochastic Systems With Distributed Delays and Interval Parameters
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摘要 研究了一类具有分布时滞和区间参数的随机系统的p-阶矩指数鲁棒稳定性问题.利用Liapunov-Krasovskii泛函、区间矩阵的分解技术及It公式,得到了该系统p-阶矩指数鲁棒稳定的时滞依赖的稳定性判据.通过数值例子说明了所得判据的有效性和实用性. The p-moment exponential robust stability for stochastic systems with distributed delays and interval parameters is studied. By constructing Liapunov-Krasovsldi functional and employing the decomposition technique of interval matrix and using Itǒ s formula, the easily verified delay-dependent criteria for p-moment exponential robust stability were obtained. Numerical examples show the effectiveness and practicality of the presented 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 《应用数学和力学》 CSCD 北大核心 2009年第7期856-864,共9页 Applied Mathematics and Mechanics
基金 国家自然科学基金资助项目(70473037) 河南省自然科学基金资助项目(0611054400)
关键词 随机系统 分布时滞 指数鲁棒稳定性 区间矩阵 stochastic systems distributed delays robust stability interval matrix
分类号 O231.3 [理学—运筹学与控制论]
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参考文献12

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二级参考文献11

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共引文献5

同被引文献103

引证文献3

二级引证文献153

应用数学和力学
2009年 第7期

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