中立型半马尔科夫跳跃系统的可达集边界估计  

Reachable Set Boundary Estimations for Neutral Semi-Markov Jump System

作　　者：吕涛 张习盼 沈长春 

机构地区：[1]贵州民族大学,数据科学与信息工程学院,贵州 贵阳

出　　处：《动力系统与控制》2021年第4期199-210,共12页Dynamical Systems and Control

摘　　要：中立型半马尔科夫跳跃系统是许多动态系统中存在的时滞系统的一种特殊情况,其可达集估计问题具有理论和实践意义。研究的是具有实变时滞的中立型半马尔科夫跳跃系统的可达集边界问题。首先,构造新的李雅普诺夫泛函,利用Ito引理和Jensen不等式等矩阵不等式技巧,得到了一个较小的可达集边界。其次,用Matlab中的LMI控制工具箱对理论结果进行验证。最后,给出数值案例,说明结果的有效性。Neutral semi-Markov jump systems are a special case of time-delay systems in many dynamical systems, and the problem of the reachable set estimation has significance in theory and practice. In this paper, the reachable set problem for neutral semi-Markov jump systems with time-varying delays is considered. Firstly, the Lyapunov function is constructed, the no-ellipsoidal bound of the reachable set is as small as what is obtained by applied Ito’s Lemma and Jensen's inequality. Secondly, the LMI toolbox, in Matlab, is used to check the correctness of the results. Finally, numerical examples are given to verify the validity.

关 键 词：可达集 李雅普诺夫 半马尔科夫 中立型系统 

分 类 号：G63[文化科学—教育学]