Existence and exponential stability of anti-periodic solutions of Hopfield neural networks with impulses

Existence and exponential stability of anti-periodic solutions of Hopfield neural networks with impulses

In this paper we investigate a class of Hopfield neural networks subject to periodic impulses. First we give sufficient conditions to ensure existence and exponential stability of the anti-periodic solutions, which are new and complementary to previously known results. Then we present an example to...

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Veröffentlicht in:Applied mathematics and computation 2010-03, Vol.216 (2), p.623-630
Hauptverfasser: Shi, Peilin, Dong, Lingzhen
Format: Artikel
Sprache:eng
Schlagworte:
Anti-periodic solutions
Computation
Exact sciences and technology
Exponential stability
Hopfield neural networks
Impulses
Mathematical analysis
Mathematical models
Mathematics
Neural networks
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
Stability
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Beschreibung
Zusammenfassung:In this paper we investigate a class of Hopfield neural networks subject to periodic impulses. First we give sufficient conditions to ensure existence and exponential stability of the anti-periodic solutions, which are new and complementary to previously known results. Then we present an example to demonstrate our results.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2010.01.095