复杂动力学网络的有限时间外部同步  

Finite-time outer synchronization of complex dynamical networks

作　　者：李望[1,2] 石咏[2] 马继伟[2] 

机构地区：[1]江苏省徐州医药高等职业学校,江苏徐州221116 [2]中国矿业大学理学院,江苏徐州221008

出　　处：《山东大学学报（工学版）》2013年第2期48-53,共6页Journal of Shandong University（Engineering Science）

基　　金：国家自然科学基金资助项目(11226150;61203304;61203055);中央高校基本科研业务费专项资金资助项目(2011QNA26);国家级大学生创新训练计划资助项目(201210290089)

摘　　要：研究了两个耦合复杂动力学网络的有限时间外部同步问题。设计了连续的有限时间控制器,使两个网络能在有限时间内实现外部同步。利用微分方程的有限时间稳定性理论,得到了复杂动力学网络实现有限时间外部同步的充分条件。最后,数值模拟验证了理论结果的正确性,并通过数值模拟分析了控制参数对网络同步时间的影响。The finite-time outer synchronization between two coupled complex dynamical networks was investigated. The continuous finite-time controller was designed to ensure that two networks can achieve outer synchronization in finite time. Sufficient conditions for the finite-time outer synchronization were derived based on the finite-time stability theory of differential equations. Finally, numerical examples were examined to illustrate the effectiveness of the analyti- cal results. The effect of control parameters on the synchronization time was also numerically demonstrated.

关 键 词：复杂网络 有限时间同步 外部同步 非线性耦合 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]