Fixed-time synchronization of quaternion-valued neural networks

Hui Deng and Haibo Bao

Physica A: Statistical Mechanics and its Applications, 2019, vol. 527, issue C

Abstract: In this paper, the fixed-time synchronization problem of quaternion-valued neural networks is investigated. Different from the finite-time synchronization related to the initial conditions, the settling time of fixed-time synchronization can be changed properly according to the actual needs. The fixed-time synchronization of quaternion-valued neural networks is firstly studied by adding the new nonlinear feedback controllers and employing the theorem of fixed-time stability. The quaternion-valued neural network is addressed by dividing the system under investigation into four real-valued parts. Then based on related theorem of fixed-time stability, and selecting the appropriate controllers and Lyapunov function, sufficient conditions of fixed-time synchronization for quaternion-valued neural networks are obtained. In the same way, the results of finite-time synchronization can also be got. Finally, one numerical example is provided to illustrate the effectiveness of the proposed results.

Keywords: Quaternion-valued neural network; Fixed-time synchronization; Settling time function; Nonlinear controller; Lyapunov function (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:527:y:2019:i:c:s0378437119307976

DOI: 10.1016/j.physa.2019.121351

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