Finite-Time Output Leader-Following Consensus of Fractional-Order Linear Multi-Agent Systems

In this paper, finite-time output leader-following consensus of fractional-order multi-agent systems is investigated. Some knowledge about fractional-order system and graph is introduced. The definition of finite-time output leader-following consensus is first provided. The model of fractional-order linear multi-agent system and concept of finite-time output leader-following consensus are constructed. Leader-following consensus conclusions are obtained by using the properties of fractional-order linear systems and undirected connected graphs. Numerical simulation is done to show that the results are accurate and effective to achieve output leader-following consensus in finite time.