Mean-square practical stability criteria for uncertain time-varying stochastic systems with additive noise controlled by optimal feedback

详细信息    查看全文

• 作者：Pengfei Yang ; ^{pfyang1988@126.com" class="auth_mail" title="E-mail the corresponding author} ; Yangwang Fang ^{ywfang2008@sohu.com" class="auth_mail" title="E-mail the corresponding author} ; Youli Wu ^{wu_youli2014@163.com" class="auth_mail" title="E-mail the corresponding author} ; Xiaoju Yong ^{yongxiaoju1987@126.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Mean-square practical stability ; Uncertain time-varying stochastic systems ; Additive noise ; Lyapunov function method
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：127
• 期：11
• 页码：4780-4784
• 全文大小：398 K

文摘

The fact that stochastic systems with additive noise do not have any equilibrium makes stability concepts addressed in the framework of Lyapunov are not suitable to analyze the stability of such systems. The mean-square practical stability is introduced to study the stability of uncertain time-varying stochastic systems with additive noise controlled by optimal feedback in this paper. By using Lyapunov functional methods and the comparison principle, criterion on mean-square practical stability of such system is deduced. Numerical example and simulation are given to illustrate the validity of the theoretical analysis.