一类奇异跳跃系统的鲁棒稳定性研究

李亚峰;康宇;赵平;王俊

系统科学与数学 ›› 2011, Vol. 31 ›› Issue (4) : 389-401.

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系统科学与数学 ›› 2011, Vol. 31 ›› Issue (4) : 389-401. DOI: 10.12341/jssms10372
论文

一类奇异跳跃系统的鲁棒稳定性研究

    李亚峰(1), 康宇(1), 赵平(2), 王俊(3)

作者信息 +

ROBUST STABILITY FOR A CLASS OF SINGULAR JUMPING SYSTEMS

    LI Yafeng(1), KANG Yu(1), ZHAO Ping(2), WANG Jun(3)
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摘要

研究了一类奇异跳跃系统的鲁棒稳定和镇定问题. %并且这类系统存在时滞和不确定性.
在所研究的系统中, 假设系数和转移率的不确定项范数有界. 通过构造Lyapunov-Krasovskii函数, 得到的充分条件可以保证系统在一定程度不确定性的影响下, 是正则, 无脉冲和均值意义下随机稳定的. 最后, 算例说明了所给方法的有效性.

Abstract

In this paper, the problem of robust stability and stabilization for a class of singular jumping systems is considered. In the system, the parametric and the
transition rate's uncertainties are assumed to be norm bounded. By constructing a stochastic Lyapunov-Krasovskii functional, sufficient conditions are provided such that the system is regular, impulse-free and stochastically stable in mean square sense for all admissible uncertainties. Finally, a numerical example is
given to demonstrate the effectiveness of the proposed methods.

关键词

跳跃参数 / 奇异系统 / 随机稳定性.

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李亚峰 , 康宇 , 赵平 , 王俊. 一类奇异跳跃系统的鲁棒稳定性研究. 系统科学与数学, 2011, 31(4): 389-401. https://doi.org/10.12341/jssms10372
LI Yafeng , KANG Yu , ZHAO Ping , WANG Jun. ROBUST STABILITY FOR A CLASS OF SINGULAR JUMPING SYSTEMS. Journal of Systems Science and Mathematical Sciences, 2011, 31(4): 389-401 https://doi.org/10.12341/jssms10372
中图分类号: 93D09   
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