Matrix-Weighted Consensus of Second-Order Discrete-Time Multiagent Systems

Suoxia Miao, Housheng Su, Shiming Chen

2022IEEE Transactions on Neural Networks and Learning Systems25 citationsDOI

Abstract

In this article, we study the matrix-weighted consensus issues for second-order discrete-time multiagent systems on directed network topology. Under the designed matrix-weighted consensus algorithm, based on the eigenvalues of the Laplacian matrix, coupling gains, and discrete interval, we build some consensus conditions for reaching discrete-time consensus and deduce some simplified and straightforward consensus conditions for undirected network topology. Besides, for a given network topology, we theoretically analyze the influence of the coupling gains and discrete intervals on the consensus conditions of the network dynamics. Finally, we offer several simulation examples to validate the obtained results.

Topics & Concepts

Laplacian matrixDiscrete time and continuous timeConsensusTopology (electrical circuits)Network topologyEigenvalues and eigenvectorsMatrix (chemical analysis)Computer scienceUniform consensusMulti-agent systemCoupling (piping)Interval (graph theory)Directed graphOrder (exchange)MathematicsMathematical optimizationAlgorithmTheoretical computer scienceGraphCombinatoricsArtificial intelligencePhysicsEngineeringQuantum mechanicsMaterials scienceStatisticsFinanceComposite materialEconomicsOperating systemMechanical engineeringDistributed Control Multi-Agent SystemsNeural Networks Stability and SynchronizationMathematical and Theoretical Epidemiology and Ecology Models