一类由偏微分方程描述时滞随机系统的变结构控制

Variable structure control of stochastic systems with time-varying delays represented by partial differential equations

研究了一类由偏微分方程描述的I■o型时变时滞随机系统的变结构控制问题.首先构造了系统的滑动流形,设计了变结构控制律;然后证明了系统的滑动模具有次可达性,并且利用Halanay不等式的方法给出了系统滑动模运动为均方稳定运动的一个充分条件.

The variable structure control problems of a class of stochastic systems with time-varying delays represented by partial differential equations are discussed. Sliding manifolds are established and variable structure controller of the system is designed. Then, it is proved that the sliding mode of the systems has subordinate reachibility. By using Halanay inequality methods, a sufficient condition is obtained for mean-square asymptotical stability of the sliding mode motions.