Stability analysis of switched singular stochastic linear systems

Wang Bao; Zhu Quanxin; Li Subei

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Stability analysis of switched singular stochastic linear systems

机译：开关奇异随机线性系统的稳定性分析

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摘要

This paper is devoted to study the stability of switched singular stochastic linear systems with both stable and unstable subsystems. By using the method of multiple Lyapunov functions and the notion of average dwell time, we provide sufficient conditions for the exponential mean-square stability of switched singular stochastic systems in terms of a proper switching rule and the linear matrix inequalities. An example is given to illustrate the effectiveness of the obtained results.

机译：本文致力于研究具有稳定和不稳定的子系统的开关奇异随机线性系统的稳定性。通过使用多种Lyapunov功能的方法和平均停留时间的概念，我们在适当的切换规则和线性矩阵不等式方面为切换奇异随机系统的指数平均方形稳定性提供了足够的条件。给出一个例子来说明所获得的结果的有效性。

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来源
《International Journal of Control》 |2020年第6期|共7页
作者
Wang Bao; Zhu Quanxin; Li Subei;
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作者单位

Nanjing Normal Univ Sch Math Sci Nanjing 210023 Peoples R China;

Nanjing Normal Univ Sch Math Sci Nanjing 210023 Peoples R China;

Xuzhou Inst Technol Sch Math &

Phys Xuzhou Jiangsu Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类控制论、信息论（数学理论）;自动控制、自动控制系统;
关键词
Switched singular stochastic system; exponential mean-square stability; multiple Lyapunov functions; average dwell time; switching rule;

机译：切换奇异的随机系统;指数均方稳定性;多个Lyapunov函数;平均停留时间;切换规则;

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专利

1. Stability analysis of switched singular stochastic linear systems [J] . Wang Bao, Zhu Quanxin, Li Subei International Journal of Control . 2020,第4a6期

机译：开关奇异随机线性系统的稳定性分析
2. Stability analysis of stochastic switching singular systems with jumps [J] . Jiao Ticao, Park Ju H., Zhang Cunshan, Journal of the Franklin Institute . 2019,第15期

机译：具有跳跃的随机切换奇异系统的稳定性分析
3. Stability analysis of hybrid switched nonlinear singular time-delay systems with stable and unstable subsystems [J] . Iman Zamani, Masoud Shafiee, Asier Ibeas International journal of systems science . 2014,第4a6期

机译：具有子系统和不稳定子系统的混合切换非线性奇异时滞系统的稳定性分析
4. Delay_dependent H∞ stochastic stability analysis for stochastic nonlinear delay hybrid singular system with time delay [C] . Hongqian Lu, Jinli Liu, Xingping Liu Chinese Control Conference . 2017

机译：随机非线性延迟杂交奇异系统随机依赖性H∞随机稳定性分析
5. Nonlinear response and stability analysis of vessel rolling motion in random waves using stochastic dynamical systems. [D] . Su, Zhiyong. 2012

机译：基于随机动力系统的随机波浪中船舶横摇运动的非线性响应和稳定性分析。
6. P-th moment and almost sure stability of stochastic switched nonlinear systems [O] . Haibo Gu, Caixia Gao -1

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7. Stability analysis and stabilization of stochastic linear impulsive, switched and sampled-data systems under dwell-time constraints [O] . Briat, Corentin 2016

机译：随机线性脉冲的稳定性分析与稳定，在停留时间限制下的交换和采样数据系统

Stability analysis of switched singular stochastic linear systems

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