A Continuous Algorithm for Finite-Time Consensus of Disturbed Fractional-Order Multiagent Systems Over Digraphs
Kun Wang, Ping Gong
Abstract
This brief studies the finite-time distributed consensus problem of fractional-order multiagent systems (FOMASs) with disturbances over directed graphs (digraphs). By utilizing the finite-time Lyapunov stability theorem and distributed estimator technique, a continuous estimator-based finite-time fully distributed algorithm with a fractional power is proposed. Under the designed algorithm, all agents’ states globally converge to a common value within a finite time in a fully distributed manner. The upper bound of the finite time is given explicitly. Finally, a numerical example is provided to validate the results.
Topics & Concepts
Multi-agent systemEstimatorUpper and lower boundsStability (learning theory)Strongly connected componentConsensusDirected graphMathematicsComputer scienceOrder (exchange)Consensus algorithmAlgorithmMathematical analysisStatisticsFinanceEconomicsArtificial intelligenceMachine learningDistributed Control Multi-Agent SystemsNeural Networks Stability and SynchronizationAdaptive Control of Nonlinear Systems