Existence and Global Uniform Asymptotic Stability of Pseudo Almost Periodic Solutions for Cohen-Grossberg Neural Networks with Discrete and Distributed Delays | Zendy

Hongying Zhu | Zendy; Chunhua Feng | Zendy

Open Access

Existence and Global Uniform Asymptotic Stability of Pseudo Almost Periodic Solutions for Cohen-Grossberg Neural Networks with Discrete and Distributed Delays

Author(s) -

Hongying Zhu,

Chunhua Feng

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/968404

Subject(s) - exponential stability , mathematics , artificial neural network , fixed point theorem , stability (learning theory) , point (geometry) , lyapunov function , control theory (sociology) , schauder fixed point theorem , mathematical analysis , computer science , picard–lindelöf theorem , nonlinear system , physics , geometry , artificial intelligence , control (management) , quantum mechanics , machine learning

This paper studies the existence and uniform asymptotic stability of pseudo almost periodic solutions to Cohen-Grossberg neural networks (CGNNs) with discrete and distributed delays by applying Schauder fixed point theorem and constructing a suitable Lyapunov functional. An example is given to show the effectiveness of the main results.

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