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Adaptive event-triggered consensus of multi-agent systems with general linear dynamics

Changyuan Tian, Kaien Liu, Zhijian Ji

2022International Journal of Systems Science25 citationsDOI

Abstract

This paper is concerned with adaptive event-triggered consensus of general linear multi-agent systems (MASs). Leaderless consensus and leader-following consensus are both considered. In order to avoid dependence on global information about system topology and reduce communication frequency, distributed adaptive event-triggered consensus protocols are designed. Through model transformation, the consensus problems of MASs are transformed into the stability problems of the corresponding error systems. By using algebraic graph theory and Lyapunov stability theory, some sufficient criteria for MASs to achieve consensus are obtained. Meanwhile, it is proved that the proposed event-trigger conditions can exclude Zeno behaviour effectively. One simulation example is provided to validate the effectiveness of obtained theoretical results.

Topics & Concepts

Algebraic graph theoryConsensusMulti-agent systemLyapunov stabilityControl theory (sociology)Lyapunov functionComputer scienceStability (learning theory)Graph theoryTransformation (genetics)Event (particle physics)MathematicsGraphTopology (electrical circuits)Mathematical optimizationTheoretical computer scienceNonlinear systemArtificial intelligenceMachine learningChemistryGeneControl (management)CombinatoricsPhysicsBiochemistryQuantum mechanicsDistributed Control Multi-Agent SystemsNeural Networks Stability and SynchronizationOpportunistic and Delay-Tolerant Networks