Topology Identification and Module–Phase Synchronization of Neural Network With Time Delay

Hao Zhang, Xingyuan Wang, Xiaohui Lin · IEEE Transactions on Systems Man and Cybernetics Systems · 2016

This paper presents the module-phase synchronization for a class of neural networks with weights identification and time delays. In module-phase synchronization, complex-valued node states are taken into consideration. The topology weights considered here are uncertain and the time delays are bounded. By constructing a Lyapunov-Krasovskii functional and employing adaptive feedback control, sufficient conditions for module-phase synchronization are derived. After the general synchronization theory, the synchronization with topology identification is discussed. Finally, pertinent examples are given to demonstrate the effectiveness of the obtained results.

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