Event-triggered synchronization for second-order nodes in complex dynamical network with time-varying coupling matrices

Li, Yan; Chen, Weisheng; Fang, Xinpeng; Hao, Dingjun

doi:10.1007/s11071-019-05320-y

Cited by 7 publications

(4 citation statements)

References 43 publications

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“…It is seen from Lyapunov function (11) that the expression near the sampling instants k = k i l + ( j − 1)h is nonuniform. Therefore, the key of synchronization is the calculation of ∆V (k) at sampling instants k = k i l + ( j − 1)h. Next, we will give the synchronization theorem under the distributed periodic ETM.…”

Section: Resultsmentioning

confidence: 99%

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Distributed periodic event-triggered synchronization for discrete-time complex dynamical networks with time-varying delay

et al. 2023

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In this paper, we study the synchronization control problem for a class of discrete-time complex dynamical networks (CDNs) under an event-triggered mechanism (ETM). First, a discrete-time distributed periodic ETM is developed based on communication measurement. Under this mechanism, the signal is sampled in a periodic manner, but whether the control signal is updated or not depends on the pre-designed triggering condition. The sampling signal is designed as the communication measurement calculated by both state feedback and inner communication among nodes. Compared with the existing discrete-time ETMs, this method considers the topology connection among network nodes and avoids the continuous measurement of signals. Therefore, this mechanism effectively saves communication resources and reduces the waste of computing resources. Second, in order to analyze the serrated constraint caused by the periodic sampling error, a piecewise Lyapunov function is constructed. Third, under the distributed periodic ETM, sufficient conditions are derived for bounded synchronization of discrete-time CDNs with time-varying delay. Finally, a simulation example verifies the effectiveness and accuracy of the conclusion.

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Section: Resultsmentioning

confidence: 99%

“…The calculation of V 1 (k), V 2 (k), and V 3 (k) in the Lyapunov function (11) is conventional, but the calculation of…”

Section: Resultsmentioning

confidence: 99%

Distributed periodic event-triggered synchronization for discrete-time complex dynamical networks with time-varying delay

et al. 2023

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“…As a result, many interesting results are documented regarding the synchronization of CDNs in the literature. [7][8][9] For instance, the authors in Reference 8 proposed an iterative algorithm to design a distributed impulsive controller to solve the H ∞ synchronization problem of the CDNs with coupling delays based on the time-varying Lyapunov function approach. On the flip side, the occurrence of parameter fluctuations possess the complexities and unfavorable circumstances to develop the desired control law, which ends up in destructive system performances.…”

Section: Introductionmentioning

confidence: 99%

“…Triggered from these aspects, the synchronization problem of CDNs has become a research hotspot in recent years. As a result, many interesting results are documented regarding the synchronization of CDNs in the literature 7‐9 . For instance, the authors in Reference 8 proposed an iterative algorithm to design a distributed impulsive controller to solve the

H_{\infty}

synchronization problem of the CDNs with coupling delays based on the time‐varying Lyapunov function approach.…”

Section: Introductionmentioning

confidence: 99%

Disturbance estimation and synchronization control design for nonlinear complex dynamical networks with input delays

Sakthivel

Harshavarthini

Kwon

2022

Intl J Robust & Nonlinear

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The synchronization problem of complex dynamical networks (CDNs) with nonlinearities, uncertainties, time-varying input delays and disturbances is investigated in this article. The key objective of this work is to estimate both the matched and mismatched disturbance signals, which is accomplished by making use of improved-equivalent-input-disturbance estimator (IEIDE) technique. Subsequently, the impact of time-delays in control input can be effectively handled by means of extended Smith predictor (ESP) approach. To be precise, an unified dynamic output feedback control protocol is developed for dealing the disturbances and input delays by combining IEIDE and ESP strategy for nonlinear CDNs. Moreover, Lyapunov stability theory is utilized for the resultant closed-loop system to deduce the linear matrix inequality (LMI)-based sufficient stability conditions, which ensure the asymptotic synchronization of the considered system. In addition, the unpredictable disturbance signals are estimated with high precision based on the proposed control design. More precisely, the desired gain matrices are obtained by solving the LMI-based conditions. In the final analysis, the simulation results of the Lur'e system are provided to examine the practicability and efficacy of the developed control strategy.

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Parameter identification of complex network dynamics

2021

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Event-triggered synchronization for second-order nodes in complex dynamical network with time-varying coupling matrices

Cited by 7 publications

References 43 publications

Distributed periodic event-triggered synchronization for discrete-time complex dynamical networks with time-varying delay

Distributed periodic event-triggered synchronization for discrete-time complex dynamical networks with time-varying delay

Disturbance estimation and synchronization control design for nonlinear complex dynamical networks with input delays

Parameter identification of complex network dynamics

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