【摘要】 利用Lyapunov稳定性理论,结合线性矩阵不等式方法,给出了具有耦合延时的复杂动力网络全局指数同步的时滞无关和时滞相关的若干条件。同时以Duffing混沌系统为例,应用时滞相关条件,得到了保证同步状态全局指数稳定的时滞上界,并与已有结论作比较,验证了结论的保守性有所减弱。数值仿真结果也说明理论分析的正确性。更多还原

【Abstract】 Based on the Lyapunov stability theory and the linear matrix inequality method,global exponential synchronization of general complex dynamical networks with coupling delays is investigated.Some delay-independent and delay-dependent criteria ensuring global exponential synchronization are derived.The bound of coupling delay for Duffing system is gained based on delay-dependent criteria,which is less conservative than those previously reported.The result of numerical simulations also illuminates the validity of theory.更多还原