复杂动态网络容错同步控制研究  

Fault-tolerant Synchronization Control for Complex Dynamical Networks

作　　者：陈佳音[1] 刘国军 CHEN Jiayin;LIU Guojun(Department of information technology,ChangChun Finance College,ChangChun 130028,China;National Key Laboratory on High Power Semiconductor Lasers,Changchun University of Science and Technology,ChangChun 130022,China)

机构地区：[1]长春金融高等专科学校信息技术学院,长春130028 [2]长春理工大学高功率半导体激光国家重点实验室,长春130022

出　　处：《复杂系统与复杂性科学》2022年第3期55-65,共11页Complex Systems and Complexity Science

基　　金：吉林省教育厅“十三五”科学技术项目(JJKH20170599KJ)。

摘　　要：为研究马尔可夫复杂系统的同步控制问题,根据李雅普诺夫稳定性定理和线性矩阵不等式方法,构造了一种新的增广闭环泛函,这种泛函同时考虑当前采样与上一采样的状态信息。从而获得了马尔可夫复杂系统更低保守性的稳定性判据,还给出了一个数据采样控制器的设计方法。最后,建立了数值与仿真实例,仿真结果证明了本文所提出的方法较其他方法的优越性明显。In this paper, we study a class of synchronous control problems called Markov complex systems. First, according to the Lyapunov stability theorem and the linear matrix inequality method, this paper constructs a new augmented closed-loop functional, which considers the state information of the current sample and the previous sample at the same time. Thus, a lower conservative stability criterion for Markov complex systems is obtained. At the same time, a design method of data sampling controller is given. Finally, numerical and simulation examples are established, and the simulation results prove that the method proposed in this paper has obvious advantages over other methods.

关 键 词：马尔科夫系统 复杂动态网络 传感器故障 数据采样控制器 

分 类 号：TM743[电气工程—电力系统及自动化]