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Stability and stabilization of a class of switched stochastic systems with saturation control

文献类型：期刊论文

作者Guo, Yingxin2; Ge, Shuzhi Sam3; Fu, Jianting1,4; Xu, Chao5
刊名SCIENCE CHINA-INFORMATION SCIENCES
出版日期2021-12-01
卷号64期号:12页码:13
关键词switched stochastic systems matric theory Gronwall inequality stability
ISSN号1674-733X
DOI10.1007/s11432-020-3002-7
通讯作者Guo, Yingxin(yxguo312@163.com)
英文摘要A switching system always comprises of several subsystems and a rule supervising the switching between the subsystems. A major problem that is often inherent to all dynamical systems is actuator saturation. Saturation is a nonlinear property that nonlinearly maps small input signals to the output, which may affect the system properties and even destroy them. In this study, stability and stabilization of a class of switched stochastic systems with saturation control was investigated. First, the variation parameter method was used to present the integral form of switched stochastic systems. Second, to guarantee that the zero solution is globally exponentially stable in mean square, two sufficient conditions were obtained using direct computation with Gronwall inequality and indirect method with matrix theory, respectively. Further, another simple sufficient condition was obtained for the stability of the systems using the row norm, column norm, and Frobenius norm. Finally, two examples were used to illustrate the preciseness and effectiveness of the results. Moreover, various control designs were observed to stabilize the systems, which differ from the technique of linear matrix inequalities.
资助项目Natural Science Foundation of Shandong Province of China[ZR2017MA045]
WOS研究方向Computer Science ; Engineering
语种英语
WOS记录号WOS:000725509100007
出版者SCIENCE PRESS
源URL[http://119.78.100.138/handle/2HOD01W0/14574]  
专题中国科学院重庆绿色智能技术研究院
通讯作者Guo, Yingxin
作者单位1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
2.Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
3.Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117576, Singapore
4.Chinese Acad Sci, Chongqing Inst Green & Intelligent Technol, Chongqing 400714, Peoples R China
5.Zhejiang Univ, Dept Control Sci & Engn, Hangzhou 310027, Peoples R China
推荐引用方式
GB/T 7714		 Guo, Yingxin,Ge, Shuzhi Sam,Fu, Jianting,et al. Stability and stabilization of a class of switched stochastic systems with saturation control[J]. SCIENCE CHINA-INFORMATION SCIENCES,2021,64(12):13.
APA Guo, Yingxin,Ge, Shuzhi Sam,Fu, Jianting,&Xu, Chao.(2021).Stability and stabilization of a class of switched stochastic systems with saturation control.SCIENCE CHINA-INFORMATION SCIENCES,64(12),13.
MLA Guo, Yingxin,et al."Stability and stabilization of a class of switched stochastic systems with saturation control".SCIENCE CHINA-INFORMATION SCIENCES 64.12(2021):13.

入库方式： OAI收割

来源：重庆绿色智能技术研究院

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