Dynamics of Cohen-Grossberg Neural Networks with Mixed Delays and Impulses

Impulsive Cohen-Grossberg neural networks with bounded and unbounded delays (i.e., mixed delays) are investigated. By using the Leray-Schauder fixed point theorem, differential inequality techniques, and constructing suitable Lyapunov functional, several new sufficient conditions on the existence an...

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Veröffentlicht in:Abstract and Applied Analysis 2008-01, Vol.2008 (1), p.315-328
Hauptverfasser: Yang, Xinsong, Huang, Chuangxia, Zhang, Defei, Long, Yao
Format: Artikel
Sprache:eng
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Zusammenfassung:Impulsive Cohen-Grossberg neural networks with bounded and unbounded delays (i.e., mixed delays) are investigated. By using the Leray-Schauder fixed point theorem, differential inequality techniques, and constructing suitable Lyapunov functional, several new sufficient conditions on the existence and global exponential stability of periodic solution for the system are obtained, which improves some of the known results. An example and its numerical simulations are employed to illustrate our feasible results.
ISSN:1085-3375
1687-0409
DOI:10.1155/2008/432341