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Synchronization stability of general complex dynamical networks with time-varying delays. (English) Zbl 1226.05232

Summary: The synchronization problem of some general complex dynamical networks with time-varying delays is investigated. Both time-varying delays in the network couplings and time-varying delays in the dynamical nodes are considered. The novel delay-dependent criteria in terms of linear matrix inequalities (LMI) are derived based on free-weighting matrices technique and appropriate Lyapunov functional proposed recently. Numerical examples are given to illustrate the effectiveness and advantage of the proposed synchronization criteria.

MSC:

05C82 Small world graphs, complex networks (graph-theoretic aspects)
34B45 Boundary value problems on graphs and networks for ordinary differential equations
34D06 Synchronization of solutions to ordinary differential equations
34D20 Stability of solutions to ordinary differential equations
15A30 Algebraic systems of matrices
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