Global Convergence on Asymptotically Almost Periodic SICNNs with Nonlinear Decay Functions

Abstract

In this paper, we propose a class of asymptotically almost periodic shunting inhibitory cellular neural networks with mixed delays and nonlinear decay functions. Without using the exponential dichotomy theory of linear differential equations, a set of easily verifiable sufficient conditions are established to show that every solution of the considered system is asymptotically almost periodic, and converges to a same almost periodic function as $$t\rightarrow +\infty $$ , which improve and supplement some previously known researches. Finally, a numerical example is given to demonstrate the effectiveness of the obtained results.