Local adaptive H∞ consistency of delayed complex networks with noise | Zendy

Lilan Tu | Zendy; Hongfang Liu | Zendy; Le Yu | Zendy

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Local adaptive H∞ consistency of delayed complex networks with noise

Author(s) -

Lilan Tu,

Hongfang Liu,

Le Yu

Publication year - 2013

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.62.140506

Subject(s) - correctness , noise (video) , consistency (knowledge bases) , node (physics) , nonlinear system , control theory (sociology) , computer science , lyapunov function , bounded function , coupling (piping) , stability theory , adaptive control , lyapunov stability , mathematical optimization , mathematics , algorithm , control (management) , physics , mathematical analysis , artificial intelligence , image (mathematics) , mechanical engineering , quantum mechanics , engineering

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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