耦合复值偏微分系统的渐近同步与鲁棒H_∞同步  

Asymptotic synchronization and H_∞ synchronization of the coupled complex-valued partial differential systems

作　　者：张雅明 吴开宁[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》2017年第6期631-639,共9页Journal of Natural Science of Heilongjiang University

基　　金：山东省自然科学基金资助项目(ZR2014FQ014)

摘　　要：考虑复值耦合偏微分系统的渐近同步性和鲁棒H_∞同步性。采用实部虚部分离的技巧,利用Lyapunov-Krasovskii泛函方法,得到耦合系统渐近同步的充分条件。当系统受到外部干扰时,给出带有扰动的复值耦合偏微分系统的鲁棒H_∞同步的定义,研究保证系统鲁棒H_∞同步的充分条件。数值算例说明了结果的有效性。Consider the asymptotic synchronization and H∞ synchronization for the coupled complex-valued partial differential systems. By using the departing technique for the real part and image part and Lyapunov-Krasovskii functional method, the sufficient conditions are obtained for the asymptotic synchronization. When the systems are disturbed by the external disturbances, it is presented that the definition of the robust H∞ synchronization and the sufficient conditions to guarantee the robust H∞ synchronization. Nu- merical examples are given to illustrate the effectiveness of these results.

关 键 词：偏微分系统 复值 同步性 鲁棒H∞同步性 LYAPUNOV-KRASOVSKII泛函 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]