Existence and global exponential stability of periodic solution for impulsive Cohen–Grossberg-type BAM neural networks with continuously distributed delays

Globally exponential stabilization of neural networks with mixed time delays via impulsive control

“…On the other hand, it seems that condition (3) cannot be removed if we want to achieve exponential stability. In fact, all the existing results concerning exponential stability of INNs with unbounded distributed delays impose condition (3) on the delay kernels, see, for example, [33,35,36,[38][39][40][41][42][43]46,47] and the references therein.…”

“…In the recent literatures, effects of impulses on stability of neural networks with various time delays have received a great deal of attention. For example, stability properties of INNs with bounded delays have been investigated in [22][23][24][25][26][27][28][29][30][31][32], and the stability problem of the INNs with unbounded distributed delays has been considered in [33][34][35][36][37][38][39][40][41][42][43]. In general, impulses are roughly classified into three categories: stabilizing impulses, destabilizing impulses and "neutral"-type impulses.…”

Existence and Stability of Antiperiodic Solution for a Class of Generalized Neural Networks with Impulses and Arbitrary Delays on Time Scales

“…. , a n t, x n t , B t, x t b 1 represent the right and left limits of x t k in the sense of time scales, {t l } is a sequence of real numbers such that 0 < t 1 < t 2 < · · · < t n → ∞ as l → ∞. There exists a positive integer q such that t l q t l ω/2, I k q u −I k −u , l ∈ Z, u ∈ R. Without loss of generality, we also 2 Journal of Inequalities and Applications assume that 0, ω/2 T ∩ {t l : l ∈ N} {t 1 , t 2 , .…”

Delay-dependent exponential stability results for uncertain stochastic Hopfield neural networks with interval time-varying delays

“…As well known, in practice time-delays are often encountered in various engineering, biological, and economic systems. Up to now, the stability analysis problem of neural networks with time delay has attracted a large amount of research interest and many sufficient conditions have been proposed to guarantee the asymptotic or exponential stability for the neural networks with various types of time delays such as constant, time-varying, or distributed, see for example, [1,2,10,[12][13][14][15]17,21,24,25,28] and the references therein.…”