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

苏春华;刘思峰

系统科学与数学 ›› 2010, Vol. 30 ›› Issue (3) : 289-295.

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系统科学与数学 ›› 2010, Vol. 30 ›› Issue (3) : 289-295. DOI: 10.12341/jssms08942
论文

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

    苏春华(1),刘思峰(2)
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Mean-Square Robust Stability of Uncertain Stochastic Linear Systems with Time-Varying Interval Parameters

    SU Chunhua(1), LIU Sifeng(2)
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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.

Abstract

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 matrix and the Lyapunov function, several simple sufficient conditions are obtained to ensure the mean-square robust stability of time-varying interval stochastic linear systems. A numerical example shows the conciseness and effectiveness of the presented results.

关键词

随机系统 / 均方鲁棒稳定性 / 时变区间矩阵.

Key words

Stochastic systems / mean-square robust stability / time-varying interval matrix.

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苏春华 , 刘思峰. 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. 系统科学与数学, 2010, 30(3): 289-295. https://doi.org/10.12341/jssms08942
SU Chunhua , LIU Sifeng. Mean-Square Robust Stability of Uncertain Stochastic Linear Systems with Time-Varying Interval Parameters. Journal of Systems Science and Mathematical Sciences, 2010, 30(3): 289-295 https://doi.org/10.12341/jssms08942
中图分类号： 93D09    93E03   
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