EXISTENCE AND GLOBAL STABILITY OF ALMOST AUTOMORPHIC SOLUTIONS FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS IN LEAKAGE TERMS ON TIME SCALES | Zendy

Changjin Xu | Zendy; Xianhua Tang | Zendy; Peiluan Li | Zendy

Open Access

EXISTENCE AND GLOBAL STABILITY OF ALMOST AUTOMORPHIC SOLUTIONS FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS IN LEAKAGE TERMS ON TIME SCALES

Author(s) -

Changjin Xu,

Xianhua Tang,

Peiluan Li

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.1033

Subject(s) - exponential stability , leakage (economics) , mathematics , control theory (sociology) , shunting , artificial neural network , exponential function , exponential growth , inhibitory postsynaptic potential , dynamic equation , stability (learning theory) , fixed point theorem , mathematical analysis , computer science , physics , nonlinear system , neuroscience , artificial intelligence , quantum mechanics , machine learning , control (management) , biology , economics , macroeconomics

In this paper, shunting inhibitory cellular neural networks(SICNNs) with time-varying delays in leakage terms on time scales are investigated. With the aid of the existence of the exponential dichotomy of linear dynamic equations on time scales, fixed point theorem and the theory of calculus on time scales, we establish some sufficient conditions to ensure the existence and exponential stability of almost automorphic solutions for the model. An example with its numerical simulations is given to illustrate the feasibility and effectiveness of the theoretical findings.

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