标题：Stability and stabilization of stochastic systems by feedback control
作者：Sun, Huiying ;Zhang, Weihai ;Li, Meng
作者机构：[Sun, Huiying ;Zhang, Weihai ;Li, Meng ] College of Information and Electrical Engineering, Shandong University of Science and Technology, Qingdao, Ch 更多
来源：Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
摘要：In this paper, stability and stabilization of linear stochastic time-invariant systems are studied based on spectrum technique. First, some definitions of stability are given. With the help of a spectrum operator LA,C, the relationship among mean square exponential stability, asymptotical mean square stability, 2th moment exponential stability, the spectral location of the systems is revealed. Second, a criterion on almost surely exponential stability based on spectrum technique is obtained. Finally, we give sufficient conditions for mean square exponentially stability or asymptotic mean square stability via linear matrix inequality (LMI) approach. © 2010 IEEE.