Open AccessLocal adaptive H∞ consistency of delayed complex networks with noise
Author(s) -
Lilan Tu,
Hongfang Liu,
Li Yu
Publication year - 2013
Publication title -
wuli xuebao
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.