Unified synchronization criteria in an array of coupled neural networks with hybrid impulses

Stability of switched systems with limiting average dwell time

“…Motivated by the concept of ADT, Lu et al presented a novel concept named AII in impulsive systems . Recently, they extended AII to a form of limit . Inspired by the works of Lu et al and Wang et al, we propose the following concept.…”

“…Recently, they extended AII to a form of limit . Inspired by the works of Lu et al and Wang et al, we propose the following concept.…”

“…Afterwards, much attention was attracted by this results . Since the aforementioned results only considered two kinds of impulses separately, Wang et al proposed a novel concept called average impulsive gain to describe the condition that both synchronizing impulses and desynchronizing impulses occur simultaneously . They also extended the AII to the form of limit, which is more general.…”

“…[34][35][36][37][38][39] Since the aforementioned results only considered two kinds of impulses separately, Wang et al proposed a novel concept called average impulsive gain to describe the condition that both synchronizing impulses and desynchronizing impulses occur simultaneously. 40 They also extended the AII to the form of limit, which is more general. Then, pinning impulsive synchronization of Lur'e systems was studied based on limiting AII and average impulsive gain.…”

Halanay-type inequality with delayed impulses and its applications

“…This technique has attracted a significant amount of attention and has been used in many types of impulsive systems. Then, Wang et al [37] extended this concept to a form of limited as following, which is more general.…”