中文摘要：

针对具有噪声的一般时滞复杂动力网络,研究了它的局部自适应H无穷一致性问题,其中网络包含未知但有界的非线性耦合函数、节点和耦合项都具有时变时滞.基于李雅谱诺夫稳定性理论,线性矩阵不等式优化技术以及自适应控制方法,提出了局部自适应H无穷一致充分条件,这些条件不仅可以保证受噪声扰动的网络获得鲁棒渐近一致,而且可以让网络达到一个给定的鲁棒H无穷水平.数值模拟验证了所提出的方法的可行性和有效性.

英文摘要：

The local adaptive H∞ consistency is intensively investigated for delayed complex dynamical networks with noise. The network under consideration contains unknown but bounded nonlinear coupling functions and time-varying delays which appear in the coupling term and the node system simultaneously. Based on the Lyapunov stability theory, linear matrix inequality optimization technique and adaptive control, several local adaptive H∞ consistency schemes are established which guarantee robust asymptotically consistency for each node of noise-perturbed network as well as achieving a prescribed robust H∞ performance level. Finally, detailed and satisfactory numerical simulations validate the feasibility and the correctness of the proposed techniques.