离散耦合复杂网络系统的稳定性分析  

Stability Analysis of Discretely-Coupled Complex Networks Systems

作　　者：尉锐芳 纪楠 

机构地区：[1]华北理工大学理学院,河北 唐山

出　　处：《理论数学》2024年第6期269-281,共13页Pure Mathematics

摘　　要：以离散耦合复杂网络系统为研究对象,当系统遭受突然变化时,设计脉冲控制器,在控制器中添加时滞项和饱和两个约束条件,采用凸包分析法处理饱和项,并基于Lyapunov稳定性理论进一步推导出此系统在脉冲控制下的指数稳定性判据。最后,选择包含两个状态节点的系统进行数值仿真。对于原系统不稳定的情况,施加脉冲控制,而在原系统稳定的情况下,施加脉冲扰动,以验证所得稳定性判据的准确性与有效性。Taking discrete coupled complex network system as the research object, when the system is subjected to sudden changes, a pulse controller is designed, two constraints of delay term and saturation term are added to the controller, and the saturation term is processed by convex hull analysis method. Then, Lyapunov stability theory is employed to further derive the criterion for the stability of discrete-time coupled complex network systems under impulsive control. Finally, systems comprising two state nodes are selected for numerical simulation. For the case where the original system is unstable, impulsive control is applied, and for the case where the original system is stable, impulsive disturbances are applied to validate the effectiveness of the stability results obtained.

关 键 词：复杂网络 脉冲控制 稳定性 时滞 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]