多组耦合随机模型的稳定性（英文）  

Stability of multi-group coupled stochastic models

作　　者：张超龙[1] 杨建富[1] 吴东庆[1] 

机构地区：[1]仲恺农业工程学院计算科学学院,广东广州510225

出　　处：《仲恺农业工程学院学报》2016年第4期63-67,共5页Journal of Zhongkai University of Agriculture and Engineering

基　　金：Supported by the National Natural Science Foundation of China(31071560);the Natural Science Foundation of Guangdong Province of China(10151022501000004)

摘　　要：研究了多组耦合随机模型的稳定性.利用图论和Lyapunov函数法,通过一种新的方法,给出了多组耦合随机模型的全局指数稳定性的充分条件.不需要解决任何线性矩阵不等式且所得的结论易验证.Based on combining graph theory with Lyapunov method, stability of multi-group coupled stochastic models was considered and new method was developed and sufficient conditions on the global exponential stability in mean square for the multi-group coupled stochastic models were provided. The criterion was easily verified and need＇t to solve any linear matrix inequality.

关 键 词：指数稳定性 图理论 多组耦合 随机 

分 类 号：O175[理学—数学]