Dissipativity of Markovian multiple‐weighted coupled neural networks with dynamic event‐triggered pinning control

Event‐triggered H∞$\mathcal {H}_\infty$ synchronization of directed and switched coupled stochastic delayed neural networks with multi‐weights

“…In recent years, dynamical behaviors of CNMWs have attracted more attention from many scholars, and numerous results on the topics have been obtained [44][45][46][47]. Although [48][49][50][51] discussed LCNNs with multi-weights by using the strategy of triggering event, while multiple coupling matrices considered in the above works are the same or completely symmetric. It is unrealistic that multi-weighted networks are composed of the same and symmetric matrices in more actual networks.…”

“…Compared with event-triggered synchronization results for CNs in [21][22][23][24][25], we study event-triggered  ∞ synchronization of directed SCSDNNMWs in this essay. What is more, in contrast to event-triggered conditions designed in [48][49][50][51], protocol (3) is constructed firstly based on different and asymmetric coupling matrices with switching form, so the derived synchronization results are more general and less conservative in our present work. Owing to the introduction of multi-weighted term, switched coupling, and stochastic disturbance term in our proposed model, the problem of event-triggered  ∞ synchronization for the network (1) in our paper becomes more complicated, which is difficult to solve through exploiting a few existing techniques with triggering event for LCNNs with single weight or fixed coupling, or without stochastic disturbance.…”

“…Wang et al [44,45] studied passivity and synchronization of CNMWs by Lyapunov functional method and pinning adaptive principle, respectively. Unfortunately, the studies of LCNNs with multi-weights based on event-triggered protocol are scanty [48][49][50][51]. Wang et al [50] introduced two categories of multi-weighted LCNNs model, then several synchronization and passivity criteria were acquired by constructing a suitable event-triggered condition.…”

“…( 3) Then, we further analyze SCSDNNMWs with mixed-type coupling by some typical cases, and it is proved to facilitate synchronization by following this strategy. In comparison to recently reported and related literatures [48][49][50][51], we discuss event-triggered  ∞ synchronization problem for SCSDNNMWs composed of both multiple state coupling and multiple delayed coupling, and the objective of promoting synchronization can be accomplished in virtue of using mixed coupling matrices. The following rest is organized: Section 2 gives preliminaries including some necessary notations and lemmas, particularly, the definition of permissible deviation control limit (PDCI) is brought in and expressed.…”

Synchronization and Control for Multi-Weighted and Directed Complex Networks

“…[10] investigated the synchronization for a network with multiple time delays. More study of synchronization for CNMWs including: fractional-order CNMWs in [11], finite-time synchronization in [12] and [13], pinning control in [14] and [15], eventtriggered control in [16] and [17], etc.…”