Global Convergence on Asymptotically Almost Periodic SICNNs with Nonlinear Decay Functions

摘要

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.