Globally projective synchronization for Caputo fractional quaternion-valued neural networks with discrete and distributed delays

Chen Wang; Hai Zhang; Hongmei Zhang; Weiwei Zhang; Chen Wang; Hai Zhang; Hongmei Zhang; Weiwei Zhang

doi:10.3934/math.2021809

AIMS Mathematics

2021, Volume 6, Issue 12: 14000-14012. doi: 10.3934/math.2021809

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Research article

Globally projective synchronization for Caputo fractional quaternion-valued neural networks with discrete and distributed delays

1.
School of Mathematics and Physics, Anqing Normal University, Anqing 246133, China
2.
Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China

Received: 11 August 2021 Accepted: 17 September 2021 Published: 28 September 2021
MSC : 26A33, 92B20, 94B50

This paper is devoted to discussing the globally projective synchronization of Caputo fractional-order quaternion-valued neural networks (FOQVNNs) with discrete and distributed delays. Without decomposing the FOQVNNs into several subsystems, by employing the Lyapunov direct method and inequality techniques, the algebraic criterion for the globally projective synchronization is derived. The effectiveness of the proposed result is illustrated by the MATLAB toolboxes and numerical simulation.
- projective synchronization,
- discrete delay,
- distributed delay,
- Lyapunov direct method
Citation: Chen Wang, Hai Zhang, Hongmei Zhang, Weiwei Zhang. Globally projective synchronization for Caputo fractional quaternion-valued neural networks with discrete and distributed delays[J]. AIMS Mathematics, 2021, 6(12): 14000-14012. doi: 10.3934/math.2021809

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Abstract

This paper is devoted to discussing the globally projective synchronization of Caputo fractional-order quaternion-valued neural networks (FOQVNNs) with discrete and distributed delays. Without decomposing the FOQVNNs into several subsystems, by employing the Lyapunov direct method and inequality techniques, the algebraic criterion for the globally projective synchronization is derived. The effectiveness of the proposed result is illustrated by the MATLAB toolboxes and numerical simulation.

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