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噪声下时滞复杂网络的局部自适应H无穷一致性*
Local adaptive H∞consistency of delayed complex networks with noise?
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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。Abstract: 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.
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