Open AccessConsistency of a complex delayed dynamical network with stochastic disturbance
Author(s) -
Ke Chao,
Zhiming Wang,
Lilan Tu
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.62.010508
Subject(s) - correctness , consistency (knowledge bases) , disturbance (geology) , computer science , control theory (sociology) , term (time) , stability (learning theory) , lyapunov function , node (physics) , synchronization (alternating current) , coupling (piping) , mathematical optimization , mathematics , control (management) , nonlinear system , algorithm , paleontology , physics , artificial intelligence , biology , mechanical engineering , computer network , channel (broadcasting) , structural engineering , quantum mechanics , machine learning , engineering
This paper focuses on the consistency problem of a complex delayed dynamical network with stochastic disturbance. The complex network under consideration includes not only stochastic disturbance but also the varying time-delay which appear in the coupling term and the node system simultaneously. Therefore, such a network is more general. Based on the stochastic Lyapunov stability theory, linear feedback control and linear matrix inequality, some new asymptotic consistency sufficient conditions are established which guarantee the consistency for the nodes of this network and an isolated system in the delay-independent and delay-dependent levels. Finally illustrative simulation is provided to verify the correctness and effectiveness of the proposed scheme.