\(L_p\) synchronization of shunting inhibitory cellular neural networks with multiple proportional delays. (English) Zbl 1534.34069
Summary: In this paper, synchronization control of shunting inhibitory cellular neural networks with multiple proportional delays is studied. Firstly, a controller is designed to ensure \(L_p\) synchronization between the response and drive shunting inhibitory cellular neural networks. Then, a method based on system solutions is proposed to obtain \(L_p\) synchronization criteria. On the one hand, the synchronization criteria obtained by this method only contain some simple inequalities, and hence the calculation amount is greatly reduced. On the other hand, the method does not require the establishment of any Lyapunov-Krasovskii functional. The obtained \(L_p\) synchronization criteria are simpler and can be tested by standard software tools. Finally, a numerical example is given to illustrate the superiority of the proposed \(L_p\) synchronization criteria. It is worth emphasizing that the \(L_p\) synchronization control problem is analyzed for the first time in this paper.
MSC:
| 34K24 | Synchronization of functional-differential equations |
| 92B20 | Neural networks for/in biological studies, artificial life and related topics |
| 34K35 | Control problems for functional-differential equations |
| 93B52 | Feedback control |
Keywords:
shunting inhibitory cellular neural networks; a method based on system solutions; \(L_p\) synchronization; multiple proportional delaysReferences:
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