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Parameter identification of dynamical networks with community structure and multiple coupling delays. (English) Zbl 1222.93058
Summary: In many real systems, there exists community or hierarchical structure. When information or instruction transmits from one community to another or from one level to another, there may exist delays, i.e., the coupling delays between two nodes of different communities or layers. In view of this, chaotic dynamical networks with community structure and multiple coupling delays are studied in this paper. By viewing the coupling delays as unknown parameters, an approach based on synchronization is proposed to identify these unknown parameters. The sufficient conditions for the realization of parameter identification are obtained. Numerical examples verify the effectiveness of this method.

MSC:
93B30 System identification
34K29 Inverse problems for functional-differential equations
37N35 Dynamical systems in control
05C82 Small world graphs, complex networks (graph-theoretic aspects)
91D30 Social networks; opinion dynamics
93C23 Control/observation systems governed by functional-differential equations
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