Finite-time and fixed-time synchronization of fuzzy Clifford-valued Cohen-Grossberg neural networks with discontinuous activations and time-varying delays
In this article, we are concerned with fuzzy Clifford-valued Cohen-Grossberg neural networks (FCVCGNNs) via discontinuous activations and time-varying delays. First, the time-delayed feedback strategy is used to investigate the synchronization in finite-time and fixed-time of FCVCGNNs with discontinuous activations and time-varying delays. By designing Lyapunov functions and utilizing differential inequalities, several effective conditions are derived to ensure synchronization in finite-time and fixed-time of the addressed neural networks. A novel fixed-time convergence method is proposed to study synchronization in fixed-time of discontinuous delayed FCVCGNNs. Furthermore, the settling time of synchronization are estimated. In the end, two numerical examples with simulations are given to confirm the effectiveness of the synchronization criteria.
机构:
Anhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China
Hunan Normal Univ, Sch Math & Stat, 4MOE LCSM, Changsha 410081, Hunan, Peoples R ChinaAnhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China
Kong, Fanchao
Zhu, Quanxin
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Hunan Normal Univ, Sch Math & Stat, 4MOE LCSM, Changsha 410081, Hunan, Peoples R ChinaAnhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China
Zhu, Quanxin
Sakthivel, Rathinasamy
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Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, IndiaAnhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China
机构:
Anhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China
Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R ChinaAnhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China
Kong, Fanchao
Zhu, Quanxin
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Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R ChinaAnhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China
Zhu, Quanxin
Sakthivel, Rathinasamy
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Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, IndiaAnhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China
机构:
Shandong Normal Univ, Sch Math Sci, Jinan 250014, Shandong, Peoples R ChinaUniv Carthage, Res Units Math & Applicat UR13ES47, Dept Math, Fac Sci Bizerta, Zarzouna 7021, Bizerta, Tunisia
机构:
Anhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China
Hunan Normal Univ, Key Lab HPC SIP MOE, Coll Math & Stat, Changsha 410081, Hunan, Peoples R ChinaAnhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China
Kong, Fanchao
Zhu, Quanxin
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Hunan Normal Univ, Key Lab HPC SIP MOE, Coll Math & Stat, Changsha 410081, Hunan, Peoples R ChinaAnhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China
Zhu, Quanxin
Liang, Feng
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Anhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R ChinaAnhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China
Liang, Feng
Nieto, Juan J.
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Univ Santiago de Compostela, Dept Estat Anal Matemat & Optimizac, Fac Matemat, Santiago De Compostela 15782, Spain
Univ Santiago de Compostela, Inst Matemat, Santiago De Compostela 15782, SpainAnhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China