Consensus of mixed-order multi-agent systems with directed topology

Abstract

In this paper, an in-depth study about the consensus problem of mixed-order multi-agent system with directed topology is performed. Specifically, this system is composed of two classes of agents respectively described by first-order and second-order dynamics. By the aid of state transformation, two different methods are proposed to solve the consensus. Still, two meaningful examples are provided to verify the effectiveness of the gained theoretical results. This paper is expected to establish a more realistic model and provide effective measures to solve the consensus problem.