中文摘要：

主要研究了基于T-S模型的随机双线性系统的稳定性问题。首先,利用并行分布补偿方法设计控制器,确保闭环系统是随机渐近稳定的。其次,基于It^o随机稳定性理论,利用Lyapunov函数方法、不等式变换技巧和Schur补引理,证明了定理所给的稳定条件下的结论是成立的。设计方法的有效性通过一个数值例子来验证。

英文摘要：

This paper considers the problems of stability for a class of T-S model based stochastic bilinear systems. Firstly, the parallel distributed compensation method is utilized to design a controller, which ensures the stochastically asymptotical stability of the closed-loop system. Secondly, based on Ito stochastic stability theory, by using Lyapunov function method, inequality transformation techniques and Schur complement lemma, the stability condition of theorem proving to the conclusion is established. Finally, a numerical example is provided to demonstrate the effectiveness of design method.