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Periodically intermittent control for finite-time synchronization of delayed quaternion-valued neural networks

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Abstract

In this paper, the finite-time synchronization between two delayed quaternion-valued neural networks (QVNNs) via the periodically intermittent feedback control is studied. Firstly, the finite-time synchronization problem is presented for the first time via the periodically intermittent control approach. Secondly, the upper bounds of the settling time for finite-time synchronization are estimated. Thirdly, a kind of novel controller, state feedback controller, which contains an integral term and delayed term, is proposed. Through these, the problem of finite-time synchronization has been solved very well. Finally, several new conditions ensuring finite-time synchronization of two delayed QVNNs are derived by establishing a new differential inequality and constructing a Lyapunov function. In the end, two numerical examples with simulations show the effectiveness of the derived results and the developed method.

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  1. Research Units of Mathematics and Applications UR13ES47, Department of Mathematics, Faculty of Sciences of Bizerta, University of Carthage, 7021, Zarzouna, Bizerta, Tunisia

    Chaouki Aouiti & Mayssa Bessifi

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  1. Chaouki Aouiti
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  2. Mayssa Bessifi
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Correspondence to Chaouki Aouiti.

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Aouiti, C., Bessifi, M. Periodically intermittent control for finite-time synchronization of delayed quaternion-valued neural networks. Neural Comput & Applic 33, 6527–6547 (2021). https://doi.org/10.1007/s00521-020-05417-1

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