Finite time boundedness of neutral high-order Hopfield neural networks with time delay in the leakage term and mixed time delays

NEUROCOMPUTING

卷:260

Article

Aouiti, Chaouki¹  Coirault, Patrick²  Miaadi, Foued¹  Moulay, Emmanuel³ 

[1] Univ Carthage, Fac Sci Bizerta, Dept Math, Res Units Math & Applicat UR13ES47, Zarzouna 7021, Bizerta, Tunisia

[2] Univ Poitiers, LIAS, EA 6315, 2 Rue Pierre Brousse, F-86073 Poitiers 9, France

[3] Univ Poitiers, CNRS, XLIM, UMR 7252, 11 Bd Marie & Pierre Curie, F-86962 Futuroscope, France

关键词: High-order neural networks;    Finite time boundedness;    Topological degree;    Stabilization;    Lyapunov-Krasovskii functional;    LMI;    Neutral systems;    Leakage delay;   

DOI  :  10.1016/j.neucom.2017.04.048

来源: Elsevier

【 摘 要 】

This article deals with the finite time boundedness (FTB) and FTB-stabilization problem for a general class of neutral high-order Hopfield neural networks (NHOHNNs) with time delay in the leakage term and mixed time delays. The mixed time delays consist of both discrete time-varying delays and infinite distributed delays. By using the topological degree theory, sufficient conditions are established to prove the existence of equilibrium points. Then, the Lyapunov-Krasovskii functional (LKF) method is used to prove sufficient conditions for the FTB. These conditions are in the form of linear matrix inequalities (LMIs) and can be numerically checked. Furthermore, a state feedback control is constructed to solve the FTB-stabilization problem. Finally, some numerical examples are presented to show the effectiveness of our main results. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free