Nonfragile leader‐following consensus control for Lurie descriptor fractional‐order multi‐agent systems

Abstract In this brief, the nonfragile leader‐following consensus control issue of Lurie descriptor fractional‐order multi‐agent systems (LDFOMASs) is discussed with the order in and , respectively. At first, a new model with one leader agent and follower agents is constructed, where dynamics of agents are described by Lurie descriptor fractional‐order systems. Then, by applying the approximation linearization, eigenvalue decomposition, and interval uncertainty technologies, convert the leader‐following consensus of LDFOMASs into the admissibility of descriptor fractional‐order interval systems. Moreover, sufficient conditions which guarantee LDFOMASs to realize the consensus are obtained through the designed nonfragile state and output feedback schemes, respectively. Lastly, two numerical examples are given to clarify the validity of results presented.