Geodesic
New results on stability of periodic solution for CNNs with proportional delays and $D$ operator
Kybernetika, Tome 55 (2019) no. 5, pp. 852-869.

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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.
DOI : 10.14736/kyb-2019-5-0852
Classification : 34D05, 34D20
Keywords: periodic solution; $D$ operator; existence; stability 
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     author = {Du, Bo},
     title = {New results on stability of periodic solution for {CNNs} with proportional delays and $D$ operator},
     journal = {Kybernetika},
     pages = {852--869},
     publisher = {mathdoc},
     volume = {55},
     number = {5},
     year = {2019},
     doi = {10.14736/kyb-2019-5-0852},
     mrnumber = {4055580},
     zbl = {07177920},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-5-0852/}
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Du, Bo. New results on stability of periodic solution for CNNs with proportional delays and $D$ operator. Kybernetika, Tome 55 (2019) no. 5, pp. 852-869. doi : 10.14736/kyb-2019-5-0852. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-5-0852/

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