Passivity-Based Finite-Time Consensus for Nonlinear Fractional-Order Multi-Agent Systems

Abstract

This paper utilizes the finite-time passivity (FTP) to settle the finite-time consensus (FTC) problem for a class of nonlinear fractional-order multi-agent systems (FOMASs). By selecting appropriate state feedback controller, a FTP criterion for FOMAS is derived on the basis of inequality techniques, and a sufficient condition to ensure FOMAS can achieve FTC is also given by exploiting the FTP result. Moreover, to testify the validity of the FTP and FTC criteria, a numerical example is presented.