Consensus of Fractional-Order Multi-Agent Systems Modeled by PDEs via Boundary Control Based on Distributed Boundary Measurement

This paper deals with the consensus problem of fractional-order multi-agent systems (FOMASs) modeled by partial differential equations (PDEs) with distributed measurement boundary form. First of all, a boundary controller relying on distributed measurement is designed. Subsequently, some consensus criteria are derived using fractional-order inequalities in terms of LMIs for the addressed FOMASs with boundary control. Finally, a numerical example indicates the validity of the proposed consensus result.