Existence and exponentially stability of anti-periodic solutions for neutral BAM neural networks with time-varying delays in the leakage terms

Abstract

This paper is concerned with the existence and exponential stability of anti-periodic solutions of a neutral BAM neural network with time-varying delays in the leakage terms. Using some analysis skills and Lyapunov method, a series of sufficient conditions for the existence and exponential stability of anti-periodic solutions to the neutral BAM neural networks with time-varying delays in the leakage terms are presented. Our results are new and complement some previously known ones.

Existence and exponential stability of almost periodic solutions for neutral‐type BAM neural networks with distributed leakage delays

“…Some authors argue that a typical time delay called Leakage (or 'forgetting') delay may occur in the negative feedback term of the neural networks model (these terms are variously known as forgetting or leakage terms) and has a great impact on the dynamics of neural networks [19][20][21][22][23][24][25][26][27][28]. For example, time delay in the stabilizing negative feedback term has a tendency to destabilize a system [29], Li et al [30]pointed out that the existence and uniqueness of the equilibrium point are independent of time delays and initial conditions.…”

Effect of Proportional Delays and Continuously Distributed Leakage Delays on Global Exponential Convergence of CNNS

“…Some scholars find that leakage delay, which may exist in the negative feedback term of neural networks, has a great impact on the dynamics of neural networks . For example, leakage delay can stabilize a system , Balasubramanianm et al.…”

“…Some scholars find that leakage delay, which may exist in the negative feedback term of neural networks, has a great impact on the dynamics of neural networks [10,11]. For example, leakage delay can stabilize a system [12], Balasubramanianm et al [13] argued that the existence and uniqueness of the equilibrium point do not depend on leakage delays and initial values.…”

Anti-periodic solutions of Cohen-Grossberg shunting inhibitory cellular neural networks on time scales

“…Thus the existence and stability of anti-periodic solutions are an important topic in characterizing the behavior of nonlinear differential equations [7,8,10,15,16,17,18,21,22,23,24,25,26,29,30,31,32,33,34]. Therefore it is worth while to investigate the existence and stability of anti-periodic solutions for BAM neural networks.…”