New results on stability of periodic solution for CNNs with proportional delays and $D$ operator

Du, Bo

Kybernetika, Tome 55 (2019) no. 5, pp. 852-869

Abstract (VO)

The problems related to periodic solutions of cellular neural networks (CNNs) involving $D$ operator and proportional delays are considered. We shall present Topology degree theory and differential inequality technique for obtaining the existence of periodic solution to the considered neural networks. Furthermore, Laypunov functional method is used for studying global asymptotic stability of periodic solutions to the above system.

Détail

DOI : 10.14736/kyb-2019-5-0852

Classification : 34D05, 34D20
Keywords: periodic solution; $D$ operator; existence; stability

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