Existence and exponential stability of periodic solution for impulsive Cohen–Grossberg neural networks with time-varying delays

LMI-Based Stability Criterion of Impulsive T-S Fuzzy Dynamic Equations via Fixed Point Theory

“…A numerical example is presented to illustrate the effectiveness of the proposed methods. In the end of this paper, we have to point out that there are still many difficulties in obtaining the LMIbased stability criteria for some other dynamics equations, such as Cohen-Grossberg neural networks (see, e.g., [11,19]) and other neural networks. These problems remain open and challenging.…”

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

“…Remark 14. Recently, the global exponential stability of periodic or almost periodic solution to CGNNs is studied by many scholars (see [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]). However, few authors pay attention to the global uniform asymptotic stability.…”

“…Some attractivity and asymptotic stability results have also been published [3,[11][12][13][14]. Many authors specially devote themselves to study the existence and global exponential stability of periodic or almost periodic solution to CGNNs [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]; for the other dynamic properties, see also the literatures [31,32]. However, to the best of our knowledge, few authors have discussed the existence and the global uniform asymptotic stability of pseudo almost periodic solutions to CGNNs.…”

Existence and global exponential stability of periodic solution for Cohen-Grossberg neural networks model with piecewise constant argument

“…Some recent results on the dynamics of the Cohen-Grossberg neural networks model with impulses, have been obtained [4,28,31,32,35,36]. Such results require suitable assumptions making the jumps sufficiently small.…”