Lag projective synchronization of discrete-time fractional-order quaternion-valued neural networks with time delays

被引：0
|
作者：
He, Yan [1 ]
Zhang, Weiwei [1 ,2 ,3 ]
Zhang, Hai [1 ,3 ]
Chen, Dingyuan [1 ]
Cao, Jinde [4 ]
机构：
[1] Anqing Normal Univ, Sch Math & Phys, Anqing 246133, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210093, Peoples R China
[3] Anqing Normal Univ, Key Lab Modeling Simulat & Control Complex Ecol Mo, Anqing 246011, Peoples R China
[4] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
来源：
NEURAL NETWORKS | 2024年 / 179卷
关键词：
Discrete-time; Lag projective synchronization; Quaternion-valued; Sign function controller; MITTAG-LEFFLER STABILITY;
D O I：
10.1016/j.neunet.2024.106532
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
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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收藏
页数：9
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