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Electrical Engineering and Systems Science > Systems and Control

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

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.
Comments: 7 figures
Subjects: Systems and Control (eess.SY); Dynamical Systems (math.DS)
Cite as: arXiv:1910.00153 [eess.SY]
  (or arXiv:1910.00153v1 [eess.SY] for this version)

Submission history

From: Xiwei Liu [view email]
[v1] Mon, 30 Sep 2019 23:48:38 GMT (1130kb)

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