Master-slave synchronization of neural networks with time-varying delays via the event-triggered control

Abstract

This paper investigates the problem of master-slave synchronization of neural networks with time-varying delays via the event-triggered control (ETC). First, the proposed ETC can effectively reduce the total amount of data transmitted to the controller in the synchronization process and avoid communication channel congestion. Second, a master-slave synchronization of neural networks with time-varying delays is constructed, where delays within neural networks and the ETC are simultaneous existence. The controller is updated by the ETC. By the Lyapunov stability theory, some sufficient criteria are obtained to ensure master-slave synchronization of neural networks. Finally, a numerical example and a tunnel diode circuit example are used to verify the validity of results obtained.

Stabilization of delayed nonlinear systems via periodically intermittent event‐triggered control

“…So far, ETC has drawn a great amount of attention in control community. [22][23][24][25][26][27][28][29][30] Nevertheless, in the literature mentioned above, the controller is activated all the time. As pointed out in Reference 19, for many real-word systems such as generation of wind power, it is unnecessary to activate the controller continuously.…”

“…It can be seen from Figure 9 that the triggering instants and control input, where the triggering instants are 717 times. (2) According to the control method in Reference 27, we choose $$$ h(t)={\left|\varepsilon (t)\right|}^2-{\zeta}_1{\left|x\left({t}_m^k\right)\right|}^2 $$$, and the periodicity of the controller is canceled. Moreover, the others parameters are chosen as the same as in this article.…”

“…That is, the control will update when the system really requires attention, while avoiding any modifications of the control when the current input value meets the predicted performance. So far, ETC has drawn a great amount of attention in control community 22‐30 . Nevertheless, in the literature mentioned above, the controller is activated all the time.…”

Synchronization of chaotic Lur’e systems with time-delays via quantized output feedback control

“…From then on, the synchronization of the CLSs has attracted great attention. So far, plenty of control methods have been proposed to solve the synchronization problem of the CLSs, such as the dissipative lag method (Xu et al, 2020a; Zhao et al, 2017), sampled-data control (Hua et al, 2015; Xu et al, 2020b), and the adaptive event-triggered mechanism (Tong et al, 2020d; Xu et al, 2018; Zhou et al, 2020).…”