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arXiv · 1910.00153

Finite time anti-synchronization of complex-valued neural networks with bounded asynchronous time-varying delays

Xiwei Liu·Zihan Li
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Abstract

In this paper, we studied the finite time anti-synchronization of master-slave coupled complex-valued neural networks (CVNNs) with bounded asynchronous time-varying delays. With the decomposing technique and the generalized $\{\xi,\infty\}$-norm, several criteria for ensuring the finite-time anti-synchronization are obtained. The whole anti-synchronization process can be divided into two parts: first, the norm of each error state component will change from initial values to $1$ in finite time, then from $1$ to $0$ in fixed time. Therefore, the whole time is finite. Finally, one typical numerical example is presented to demonstrate the correctness of our obtained results.

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Xiwei Liu, Zihan Li. 2019-09-30. Finite time anti-synchronization of complex-valued neural networks with bounded asynchronous time-varying delays. https://arxiv.org/abs/1910.00153

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