Pinning Group Tracking Consensus of First-Order Nonlinear Multiagent Systems

Abstract

This paper investigates group tracking consensus of nonlinear multiagent systems by virtue of distributed continuous control and pinning control. Firstly, the nonlinear multi-agents systems with multiple groups are introduced. To achieve group consensus, multiple consensus objective states are introduced and each group has a consensus objective. Secondly, with the help of the consensus objectives, the distributed group consensus protocol is designed. Furthermore, the information exchanges among different groups are different. Thirdly, by means of the Lyapunov method and the stability theory, the distributed group consensus of nonlinear first-order multiagent systems is analyzed. The sufficient criteria for group consensus are derived. Finally, the feasibility of the theoretical results are explained via several specific simulations.