New method for global exponential synchronization of multi-link memristive neural networks with three kinds of time-varying delays. (English) Zbl 07834519
Summary: In this paper, a new direct method based on system solutions is proposed to give global exponential synchronization analysis of multi-link memristive neural networks. The network dynamics are affected by time-varying distribution, leakage and transmission delays, simultaneously. Based on the definition of synchronization, sufficient conditions to ensure the synchronization of multi-link memristive neural networks are investigated, and thereby, a new controller is proposed. Compared with other controllers, the controller design method proposed in this paper is relatively simple, and avoids the construction of Lyapunov-Krasovskii functionals, which greatly reduces the workload. Finally, numerical simulations are given to check the effectiveness of this method.
MSC:
| 34K35 | Control problems for functional-differential equations |
| 34D06 | Synchronization of solutions to ordinary differential equations |
| 34K20 | Stability theory of functional-differential equations |
| 68T07 | Artificial neural networks and deep learning |
| 93B52 | Feedback control |
Keywords:
global exponential synchronization; multi-link memristive neural networks; distribution time-varying delays; transmission time-varying delays; leakage time-varying delaysReferences:
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