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一类灰色随机分布时滞系统的均方指数鲁棒稳定性

Mean-square Exponential Robust Stability for a Class of Grey Stochastic Systems with Distributed Delays
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摘要 利用Lyapunov-Krasovaskii泛函、灰矩阵的连续矩阵覆盖的分解技术和Ito^公式,得到了两个时滞依赖的指数鲁棒稳定的判据,通过数值例子说明了所得判据的有效性和实用性. The mean-square exponential robust stability for a class of grey stochastic systems with distributed delays is studied. Two delay-dependent criterias of mean-square exponential robust stability are obtained by constructing Lyapunov-Krasovskii functional and employing the decomposition technique and Ito formula. A numerical example demonstrats the effectiveness and practicality of the criteria presented.
作者 苏春华 刘夏斐
机构地区 信阳师范学院数学与信息科学学院 信阳农业高等专科学校旅游管理系
出处 《信阳师范学院学报（自然科学版）》 CAS 2010年第4期501-505,共5页 Journal of Xinyang Normal University(Natural Science Edition)
基金 河南省自然科学基金项目(061105440) 河南省教育厅自然科学基金项目(2008A110015)
关键词 分布时滞 Lyapunov—Krasovskii泛函 鲁棒稳定性 distributed delays Lyapunov-Krasovskii functional robust stability
分类号 O211.4 [理学—概率论与数理统计]
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参考文献13

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信阳师范学院学报（自然科学版）
2010年 第4期

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