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具有时变区间参数的不确定随机线性系统的均方鲁棒稳定性 被引量：1

MEAN-SQUARE ROBUST STABILITY OF UNCERTAIN STOCHASTIC LINEAR SYSTEMS WITH TIME-VARYING INTERVAL PARAMETERS
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摘要 研究了一类具有时变区间参数的不确定随机线性系统的均方鲁棒稳定性.利用时变区间矩阵的分解技术、矩阵的Kronecker积的性质和Lyapunov函数法,得到了该系统均方鲁棒稳定的几个充分性条件.通过一个数值例子说明了所得的这些充分性条件的有效性和实用性. The mean-square robust stability for a class of uncertain stochastic linear systems with time-varying interval parameters is studied in this paper. Applying the decomposition technique of time-varying interval matrix, the property of Kronecker product of matrixand the Lyapunov function, several simple sufficient conditions are obtained to ensure the meansquare robust stability of time-varying interval stochastic linear systems. A numerical example shows the conciseness and effectiveness of the presented results.
作者 苏春华 刘思峰
机构地区 信阳师范学院数学与信息科学学院 南京航空航天大学经济与管理学院
出处 《系统科学与数学》 CSCD 北大核心 2010年第3期289-295,共7页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金(70473037) 河南省自然科学基金(0611054400)资助项目
关键词 随机系统 均方鲁棒稳定性 时变区间矩阵 Stochastic systems, mean-square robust stability, time-varying interval matrix.
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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共引文献4

同被引文献18

  • 1王守相,郑志杰,王成山.计及不确定性的电力系统时域仿真的区间算法[J].中国电机工程学报,2007,27(7):40-44. 被引量：23
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系统科学与数学
2010年 第3期

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