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Lag projective synchronization of discrete-time fractional-order quaternion-valued neural networks with time delays
Yan He1, Weiwei Zhang2, Hai Zhang3
1School of Mathematics and Physics, Anqing Normal University, Anqing 246133, China.
Abstract:
This paper deals with the lag projective synchronization (LPS) problem for a class of discrete-time fractional-order quaternion-valued neural networks(DTFO QVNNs) systems with time delays. Firstly, a DTFOQVNNs system with time delay is constructed. Secondly, linear and adaptive feedback controllers with sign function are designed respectively. Furthermore, through Lyapunov direct method, DTFO inequality technique and Razumikhin theorem, some sufficiency criteria are obtained to ensure that the system in this article can achieve LPS. At last, the significance of the theoretical part of this paper is verified through numerical simulation.
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