Synchronization in linearly coupled dynamical networks with distributed time delays. (English) Zbl 1149.34346
Summary: We investigate the global exponential synchronization of linearly coupled dynamical networks with time delays. The time delay considered is of the distributed type and the outer-coupling matrix is not assumed to be symmetric. Employing the Lyapunov functional and matrix inequality techniques, we propose a sufficient condition for the occurrence of global exponential synchronization. Two illustrative examples, the coupled Chua’s circuits and the coupled Hindmarsh-Rose neurons, and their numerical simulation results are presented to demonstrate the theoretical analyses.
MSC:
| 34K25 | Asymptotic theory of functional-differential equations |
| 92B20 | Neural networks for/in biological studies, artificial life and related topics |
| 34K60 | Qualitative investigation and simulation of models involving functional-differential equations |
Keywords:
linearly coupled dynamical networks; distributed time delays; exponential synchronization; coupled Chua’s circuits; coupled Hindmarsh-Rose neuronsReferences:
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