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Stability and stabilization of a class of switched stochastic systems with saturation control
Guo, Yingxin1; Ge, Shuzhi Sam2; Fu, Jianting3,4; Xu, Chao5
2021-12-01
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.
关键词switched stochastic systems matric theory Gronwall inequality stability
DOI10.1007/s11432-020-3002-7
发表期刊SCIENCE CHINA-INFORMATION SCIENCES
ISSN1674-733X
卷号64期号:12页码:13
通讯作者Guo, Yingxin(yxguo312@163.com)
收录类别SCI
WOS记录号WOS:000725509100007
语种英语