摘要
研究了三个线形和环形耦合HR神经元网络模型的同步行为.通过构造合适的Lyapunov函数和LMI方法,获得线性化偏差系统零解的全局渐近稳定性和全局指数稳定性,给出实现同步的相关判据.进一步地,环形耦合网络比线形耦合网络更容易同步.数值结果显示了我们结果的有效性.
In this paper, synchronous dynamic behavior of three Ring-coupled and Linear-coupled HR neuronal system is examined. Through constructing a suitable Lyapunov function as well as applying linear matrix inequali ties and matrix theory, the global exponential stability and the global asymptotic stability of linearised error system at zero solution is obtained, respectively, and the relative criterion is theoretically provided for global asymptotic synchronization and global exponential synchronization of HR neuronal system. Furthermore, Ring-coupled net- work is synchronized more easily than Linear-coupled network. Numerical simulations also verifies the effectiveness of the results in this paper.
出处
《动力学与控制学报》
2016年第3期269-275,共7页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(11502073
11402057
11472009)
河南省教育厅重点项目(14A110004)
河南理工大学博士基金项目(B2012-107)
河南省高校基本科研业务费专项(NSFRF140137)~~
关键词
HR神经元网络
LYAPUNOV函数
LMI
全局渐近同步和全局指数同步
HR neuronal system, Lyapunov function, linear matrix inequalities, global asymptotic synchronization and global exponential synchronization
