Xiao-Ling Liang, Ming-Zhe Hou and Guang-Ren Duan. Output Feedback Stabilization of Switched Stochastic Nonlinear Systems Under Arbitrary Switchings. International Journal of Automation and Computing, vol. 10, no. 6, pp. 571-577, 2013. DOI: 10.1007/s11633-013-0755-4
Citation: Xiao-Ling Liang, Ming-Zhe Hou and Guang-Ren Duan. Output Feedback Stabilization of Switched Stochastic Nonlinear Systems Under Arbitrary Switchings. International Journal of Automation and Computing, vol. 10, no. 6, pp. 571-577, 2013. DOI: 10.1007/s11633-013-0755-4

Output Feedback Stabilization of Switched Stochastic Nonlinear Systems Under Arbitrary Switchings

  • This paper is concerned with the problem of global output feedback stabilization in probability for a class of switched stochastic nonlinear systems under arbitrary switchings. The subsystems are assumed to be in output feedback form and driven by white noise. By introducing a common Lyapunov function, the common output 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 exponentially stable. An example is given to show the effectiveness of the proposed method.
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