Distributed Event-triggered Containment Control for Discrete-time Multi-agent Systems

This paper investigates the event-triggered containment control for discrete-time multi-agent systems. Event-triggered control strategies are employed in order to reduce the number of controller actuation updates for multi-agent systems with limited resources. It is assumed that each follower in the system updates its state only at some instants which are determined by the proposed event-triggered condition. Both centralized and decentralized event-triggered strategies are proposed to solve the containment control problem. Convergence analysis is given with the help of matrix theory and Lyapunov method, and it is showed that the proposed strategy does not exhibit Zeno behaviors. Numerical simulations are given to illustrate the effectiveness of the theoretical results.