非一致节点的未知复杂动态网络的自适应同步

摘要

对非一致节点的非线性耦合时变时滞未知复杂动态网络，运用学习控制方法实现自适应同步。采用信号置换技术对系统方程进行重构，将所有的未知时变项合并为1个周期时变向量，设计周期自适应学习律估计该向量。通过构造复合能量函数，得到同步的1个充分条件和所有信号的有界性。通过1个数值算例证明了所提出方法的有效性。%An adaptive synchronization approach for unknown complex dynamical networks with non-identical nodes and nonlinear coupling with time-varying delays is proposed via learning control.By using the signal replacement technique and reconstructing the system equation,all unknown time-varying terms are combined into a periodically time-varying vector which is estimated by a periodic adaptive learning mechanism. A sufficient condition for the synchronization and boundedness of all signals are given by constructing a composite energy function.Finally,a numerical example is given to show the effectiveness of the designed method.