Analyzing stability of equilibrium points in impulsive neural network
models involving generalized piecewise alternately advanced and retarded
argument
Abstract
In this paper, we investigate the models of the impulsive cellular
neural network with piecewise alternately advanced and retarded argument
of generalized argument (in short IDEPCAG). To ensure the existence,
uniqueness and global exponential stability of the equilibrium state,
several new sufficient conditions are obtained, which extend the results
of the previous literature. The method is based on utilizing Banach’s
fixed point theorem and a new IDEPCAG’s Gronwall inequality. The
criteria given are easy to check and when the impulsive effects do not
affect, the results can be extracted from those of the non-impulsive
systems. Typical numerical simulation examples are used to show the
validity and effectiveness of proposed results. We end the article with
a brief conclusion.