Decentralized control and synchronization of time-varying complex dynamical network. (English) Zbl 1158.34332

Summary: A new class of controlled time-varying complex dynamical networks with similarity is investigated and a decentralized holographic-structure controller is designed to stabilize the network asymptotically at its equilibrium states. The control design is based on the similarity assumption for isolated node dynamics and the topological structure of the overall network. Network synchronization problems, both locally and globally, are considered on the ground of decentralized control approach. Each sub-controller makes use of the information on the corresponding node’s dynamics and the resulting overall controller is composed of those sub-controllers. The overall controller can be obtained by means of a combination of typical control designs and appropriate parametric tuning for each isolated node. Several numerical simulation examples are given to illustrate the feasibility and the efficiency of the proposed control design.


34D20 Stability of solutions to ordinary differential equations
65L99 Numerical methods for ordinary differential equations
70G60 Dynamical systems methods for problems in mechanics
70K99 Nonlinear dynamics in mechanics
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