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Neural Computing and Applications
Erschienen in: Neural Computing and Applications 11/2019

06.07.2018 | Original Article

Stability analysis for a class of impulsive high-order Hopfield neural networks with leakage time-varying delays

verfasst von: Chaouki Aouiti, El Abed Assali

Erschienen in: Neural Computing and Applications | Ausgabe 11/2019

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Abstract

This work considers the existence, the uniqueness, and the global exponential stability, the uniform asymptotic stability, the global asymptotic stability and the uniform stability, of a class of impulsive high-order Hopfield neural networks with distributed delays and leakage time-varying delays. The existence of a unique equilibrium point is proved by using contraction mapping principle theorem. By finding suitable Lyapunov–Krasovskii functional, some sufficient conditions are derived ensuring same kinds of stability. Finally, we analyze some numerical examples proving the efficiency of our theoretical results.
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Metadaten
Titel
Stability analysis for a class of impulsive high-order Hopfield neural networks with leakage time-varying delays
verfasst von
Chaouki Aouiti
El Abed Assali
Publikationsdatum
06.07.2018
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 11/2019
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-018-3585-z

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