节点时滞耦合偏微分系统的鲁棒H_∞同步  

Robust H_∞ synchronization of coupled partial differential systems with delay in nodes

作　　者：沈文静[1] 吴开宁[1] 朱亚南[1] 

机构地区：[1]哈尔滨工业大学(威海)数学系,威海264209

出　　处：《黑龙江大学自然科学学报》2013年第6期716-722,共7页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(11271101)

摘　　要：讨论时滞耦合偏微分系统的渐近同步性和鲁棒H∞同步性,该时滞出现在动态节点上。运用Lyapunov泛函方法,找到时滞耦合偏微分系统渐近同步的充分条件。给出偏微分系统鲁棒H∞同步的定义,并得到保证带有扰动的时滞耦合偏微分系统鲁棒H∞同步的充分条件。数值算例说明所得结果的正确性。The asymptotical synchronization and robust H∞ synchronization for coupled time-delay partial differential systems （PDSs） are considered. The delay appears in the dynamical nodes. Based on the Lyapunov-Krasoviskii functional method, sufficient conditions of asymptotical synchronization are given. Moreover, the definition of robust H∞ synchronization for PDSs is given, and sufficient conditions are obtained which guarantee the robust H∞ synchronization of coupled time-delay PDSs. Finally, numerical examples are presented to illustrate the correctness of results.

关 键 词：偏微分系统 时滞 同步性 鲁棒H∞同步性 Lyapunov-Krasovikii泛函 

分 类 号：O231.5[理学—运筹学与控制论]