|Anti-periodic Synchronization of Quaternion-valued Generalized Cellular Neural Networks with Time-varying Delays and Impulsive Effects
Yongkun Li*, Yanchao Fang, and Jiali Qin
International Journal of Control, Automation, and Systems, vol. 17, no. 5, pp.1191-1208, 2019
Abstract : "In this paper, a class of quaternion-valued generalized cellular neural networks (QVGCNNs) with timevarying
delays and impulsive effects is considered. Firstly, by constructing an appropriate Lyapunov function and
applying inequality techniques, some sufficient conditions on the existence of anti-periodic solutions are established.
Then, the global exponential anti-periodic synchronization of delayed QVGCNNs with impulsive effects
and anti-periodic coefficients is investigated by designing a novel nonlinear state-feedback controller and constructing
suitable Lyapunov functions. Our results are completely new even if the considered quaternion-valued systems
degenerated into real-valued or complex-valued systems. Finally, two numerical examples are given to illustrate the
feasibility and effectiveness of the obtained results"
Anti-periodic solution, generalized cellular neural network, quaternion, synchronization.
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