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Second-Order Consensus of Hybrid Multiagent Systems

Housheng Su, Xin Wang, Xia Chen, Zhigang Zeng

2020IEEE Transactions on Systems Man and Cybernetics Systems47 citationsDOI

Abstract

This article studies the consensus of hybrid second-order multiagent systems (MASs), where the hybrid MAS is constituted by the continuous-time second-order (CTSO) and discrete-time second-order (DTSO) dynamic agents. First, a hybrid consensus algorithm is proposed, where a sample-data control is considered in the CTSO subsystems. Under the proposed hybrid consensus algorithm, the convergence of the hybrid second-order MAS matrix is analyzed. Second, a sufficient and necessary condition is proposed, which indicates that the controller parameters, such as coupling gains and the sampling interval, and eigenvalues of network topology have a significant impact on the system consensus. Finally, several simulation examples are presented to prove the validity of the results.

Topics & Concepts

Convergence (economics)Hybrid systemConsensusMulti-agent systemEigenvalues and eigenvectorsController (irrigation)Interval (graph theory)Discrete time and continuous timeComputer scienceOrder (exchange)Network topologyControl theory (sociology)Hybrid algorithm (constraint satisfaction)Matrix (chemical analysis)Mathematical optimizationTopology (electrical circuits)MathematicsControl (management)Artificial intelligenceMachine learningComposite materialEconomicsStatisticsMaterials scienceFinanceOperating systemPhysicsConstraint programmingConstraint logic programmingEconomic growthStochastic programmingBiologyQuantum mechanicsAgronomyCombinatoricsDistributed Control Multi-Agent SystemsNeural Networks Stability and SynchronizationMathematical and Theoretical Epidemiology and Ecology Models
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