Fixed-time outer synchronization of hybrid-coupled delayed complex networks via periodically semi-intermittent control

This article discusses how second-order nonlinear multi-agent systems achieve bipartite consensus in finite-time using intermittent event-triggered control strategies. Due to the problem arising from antagonistic links between neighboring nodes of second-order multi-agents, the finite-time bipartite consensus analysis is investigated, which is more challenging than that with only cooperative communication links. Accounting for limitations of communication bandwidths, an intermittent framework is proposed first. By utilizing algebraic graph theories and gauge transformations, sufficient conditions are given to achieve finite-time consensus in signed second-order multi-agent systems. Second, a hybrid control mechanism combining intermittent control with event-triggered control is developed. Therefore, some finite-time synchronization conditions of second-order multi-agents on signed graphs are further studied. The proposed protocol reduces the updating frequency of the controller, which saves communication resources a lot. Finally, the Zeno behavior is excluded and some numerical examples are performed to show the effectiveness of the theoretical analysis.

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“…For real matrices with appropriate dimensions X ~ and Y ~ , there exists a positive constant ε such that (see the work of Gan et al 32 )…”

Section: Preliminariesmentioning

confidence: 99%

Intermittent event-triggered control for finite-time bipartite consensus of second-order multi-agent systems

Zhou

Yang

Chang

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part I:

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“…where i = 1, 2, ..., 9, τ ∈ [−0.5, 0]. Under the initial values Next, two different controllers are designed to realize the FNT cluster synchronization of system (31).…”

Section: Numerical Simulationsmentioning

confidence: 99%

“…In [3], [24], [25], [32], the authors constructed complex networks without delay, single time delay x i (t − τ ), or single coupling delay Gx j (t − τ ), which differs from complex systems in the actual world. In [31], although the authors discussed the complex networks with internal delays and coupling delays, they investigated them in the integer-order and RV domain. In contrast, fractional-order (FO) complex networks with fully CV have more extensive application value.…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Cluster Synchronization of Delayed Fractional-Order Fully Complex-Valued Community Networks

et al. 2022

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This paper focuses on the finite-time (FNT) cluster synchronization issues for a class of delayed fractional-order fully complex-valued community networks (FFCVCNs). A new mathematical expression of the complex networks is developed with internal delay, non-delayed and delayed couplings, complex-valued state variables, system function, coupling strengths, inner coupling matrices and outer coupling matrices. Instead of transforming the complex-valued (CV) networks into two independent realvalued (RV) systems, the delay-dependent controllers are designed based on the quadratic norm and a novel norm composed of the absolute-valued norm to realize the cluster synchronization for the proposed complex networks in FNT, respectively. In addition, the upper bounds of the settling time (ST) when the system could reach finite-time cluster synchronization are estimated. The obtained results are less conservative than some of the existing studies due to the characteristics of fully fractional-order complex-valued (FOCV) dynamical networks. The feasibility and effectiveness of the main results are demonstrated by simulation examples.INDEX TERMS Finite-time synchronization; cluster synchronization; fully complex-valued community networks; delay.

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“…Therefore, there have been various works investigating the FnTSta or FnTSyn for delayed systems. [22] investigated the robust FxTSyn for masterslave coupled delayed Cohen-Grossberg NNs by designing an external control with time delays (equation (13) in [22]); [23] studied the FnTSyn with aperiodically intermittent control (AIC) by designing a control with time delays (equation (10) in [23]); [24] and [25] investigated FnTSyn of inertial memristive delayed NNs by designing a control with time delays (equation (6) in [24] and equation (12) in [25]); [26] studied the FxT outer synchronization for networks with aperiodically semiintermittent control by designing a control with time delays (equation (2.5) in [26]).…”

Section: Introductionmentioning

confidence: 99%

Adaptive Finite Time Stability of Delayed Systems With Applications to Network Synchronization

Liu¹

2020

Preprint

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The finite time stability (FnTSta) theory of delayed systems has not been set up until now. In this paper, we propose a two-phases-method (2PM), to achieve this object. In the first phase, we prove that the time for norm of system error evolving from initial values to 1 is finite; then in the second phase, we prove that the time for norm of the error evolving from 1 to 0 is also finite, thus FnTSta is obtained. Considering the cost and complexity of controller, we use only two simple terms to realize this aim. For the proposed 2PM, time delays can be the same or asynchronous, bounded or unbounded, etc; the norm can be 2-norm, 1-norm, ∞-norm, which show that 2PM is powerful and has a wide scope of applications. Furthermore, we also prove the adaptive finite time stability (AFnTSta) theory of delayed systems using 2PM. As an application of the obtained FnTSta theory, we consider the finite time outer synchronization (FnTOSyn) for complex networks with asynchronous unbounded time delays, corresponding criteria are also obtained. Finally, two numerical examples are given to demonstrate the validity of our theories.

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Fixed-time outer synchronization of hybrid-coupled delayed complex networks via periodically semi-intermittent control

Cited by 38 publications

References 48 publications

Intermittent event-triggered control for finite-time bipartite consensus of second-order multi-agent systems

Intermittent event-triggered control for finite-time bipartite consensus of second-order multi-agent systems

Finite-Time Cluster Synchronization of Delayed Fractional-Order Fully Complex-Valued Community Networks

Adaptive Finite Time Stability of Delayed Systems With Applications to Network Synchronization

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