Event-based exponential synchronization of complex networks

Abstract

In this paper, we consider exponential synchronization of complex networks. The information diffusions between nodes are driven by properly defined events. By employing the M-matrix theory, algebraic graph theory and the Lyapunov method, two kinds of distributed eventtriggering laws are designed, which avoid continuous communications between nodes. Then, several criteria that ensure the event-based exponential synchronization are presented, and the exponential convergence rates are obtained as well. Furthermore, we prove that Zeno behavior of the event-triggering laws can be excluded before synchronization being achieved, that is, the lower bounds of inter-event times are strictly positive. Finally, a simulation example is provided to illustrate the effectiveness of theoretical analysis.

Event‐triggered communication for passivity and synchronisation of multi‐weighted coupled neural networks with and without parameter uncertainties

“…In this section, several event‐triggered passivity and passivity‐based synchronisation criteria are firstly established for MWCNNs by employing some new inequality techniques and Lyapunov functional method. Remark 4 Due to the introduction of multi‐weighted coupling term in the network model, the problem for achieving the event‐triggered passivity and synchronisation of the considered network becomes more complex, which cannot be dealt with by using the traditional event‐triggered control techniques for CNNs with single weights. For overcoming this difficulty, a novel event‐triggered condition (3) is designed by utilising the own characteristics of our network model, which is an improvement of the existing event‐triggered condition in the literature [13, 16]. Moreover, some new inequality techniques need to be employed in (6) and the proof of our theoretical results because of the multi‐weighted coupling term and the new designed event‐triggered condition.…”

“…It can conquer the shortcomings of the continuous control method and reduce the unnecessary transmission of the communication media during the process of information exchanging. In recent years, some interesting results on eventtriggered passivity and synchronization of complex networks have been gained [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. The authors in [16] designed two kinds of distributed event-triggering laws and some criteria that insure the event-based exponential synchronization were established.…”

“…In recent years, some interesting results on event‐triggered passivity and synchronisation of complex networks have been gained [12–27]. The authors in [16] designed two kinds of distributed event‐triggering laws and some criteria that insure the event‐based exponential synchronisation were established.…”

Event-triggered passivity of multi-weighted coupled delayed reaction-diffusion memristive neural networks with fixed and switching topologies

“…By designing suitable event-triggered controllers, some conditions were acquired to guarantee CNs achieve synchronization in [44]. However, only a few scholars have studied event-triggered synchronization of CNNs [46][47][48][49].…”

“…In contrast to the event-triggered synchronization results of CNs in [42][43][44][45][46][47][48][49], we investigate the event-triggered passivity of MWCDRDMNNs with switching topology in this paper. Moreover, compared with the eventtriggered conditions in [42][43][44][45][46][47][48][49], a distributed event-triggered conditions with switches is firstly designed in this paper. Therefore, the obtained event-triggered passivity results has more generalization and less conservatism in our present work.…”