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Yongkun Li,Yanchao Fang,Jiali Qin 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.5
In this paper, a class of quaternion-valued generalized cellular neural networks (QVGCNNs) with timevaryingdelays and impulsive effects is considered. Firstly, by constructing an appropriate Lyapunov function andapplying 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 effectsand anti-periodic coefficients is investigated by designing a novel nonlinear state-feedback controller and constructingsuitable Lyapunov functions. Our results are completely new even if the considered quaternion-valued systemsdegenerated into real-valued or complex-valued systems. Finally, two numerical examples are given to illustrate thefeasibility and effectiveness of the obtained results.