This paper reviews some main results and recent progress in distributed cooperative anti-disturbance control (DCADC) of multi-agent systems.Compared with anti-disturbance control in single systems, DCADC is more challenging because of the existence of coupling in multi-agent systems and the aim is to design distributed cooperative control based on the local information of each agent. This paper is concerned with some kinds of DCADC methods, such as distributed cooperative variable structure control, distributed cooperative sliding mode control, distributed cooperative disturbance-observer-based control, and distributed cooperative output regulation control approaches. Some future research topics regarding DCADC methods are also pointed out.

Distributed cooperative anti-disturbance control of multi-agent systems: an overview

In this paper, the cluster synchronization of coupled genetic regulatory networks with a directed topology is studied by using the event-based strategy and pinning control. An event-triggered condition with a threshold consisting of the neighbors’ discrete states at their own event time instants and a state-independent exponential decay function is proposed. The intra-cluster states information and extra-cluster states information are involved in the threshold in different ways. By using the Lyapunov function approach and the theories of matrices and inequalities, we establish the cluster synchronization criterion. It is shown that both the avoidance of continuous transmission of information and the exclusion of the Zeno behavior are ensured under the presented triggering condition. Explicit conditions on the parameters in the threshold are obtained for synchronization. The stability criterion of a single GRN is also given under the reduced triggering condition. Numerical examples are provided to validate the theoretical results.

Event-based cluster synchronization of coupled genetic regulatory networks ☆

This paper is concerned with the variance-constrained filtering problem for a class of discrete-time genetic regulatory networks (GRNs) with state delay and random one-step measurement delay. The p...

Variance-constrained filtering for discrete-time genetic regulatory networks with state delay and random measurement delay

A hybrid impulsive and sampled-data control for fractional-order delayed reaction-diffusion system of mRNA and protein in regulatory mechanisms

Reversible bimolecular chemical reactions are elementary chemical reactions. This paper investigated this reaction type based on DNA strand displacement, and proposed degradation, catalysis, and annihilation reactions along with the synchronization reaction modules. DNA reaction modules were compared with ideal reaction modules, and relative reaction rates analyzed using the Lotka–Volterra oscillator as an example to demonstrate the validity of these reaction modules. An arbitrary chemical reaction network was employed to numerically simulate and predict synchronization between two Lotka–Volterra oscillators.

Synchronization of Chemical Reaction Networks Based on DNA Strand Displacement Circuits

Finite-time stochastic synchronization of genetic regulatory networks

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Finite-time stochastic synchronization of genetic regulatory networks