Global stabilization of switched stochastic nonlinear systems in strict-feedback form under arbitrary switchings

作者：Hou Mingzhe^*; Fu Fengyu; Duan Guangren

来源：Automatica, 2013, 49(8): 2571-2575.

DOI：10.1016/j.automatica.2013.04.031

• Stochastic nonlinear system
• Switched nonlinear system
• Global stabilization

This paper is concerned with the problem of global stabilization in probability for a class of switched stochastic nonlinear systems under arbitrary switchings. The subsystems are assumed to be in strict-feedback form and driven by white noise. By introducing a common Lyapunov function, the common state feedback controller independent of switching signals is constructed based on the backstepping approach. It is proved that the zero solution of the closed-loop system is fourth-moment globally exponentially stable. Two examples are given to show the effectiveness of the proposed method.

• 出版日期2013-8
• 单位哈尔滨工业大学