Consensus Problems of Linear Multi-agent Systems involving Conformable Derivative

摘要

In this paper, we introduce linear multi-agent systems (MASs) composed of a conformable derivative. The protocol of each agent is designed by using its local information. Two sufficient and necessary conditions are derived for the consensus of the systems respectively under the topologies of undirected and directed networks based on algebraic graph theory and matrix theory. Meanwhile, the relationship between the agreement values and topology structures is discussed. Finally, we demonstrate the theoretical results and the advantage of the systems compared with traditional integer order systems by several numerical simulations.