Stability of linear multiagent systems with guaranteed steady-state performance

TL;DR

This paper investigates the stability and steady-state performance of linear multiagent systems using event-triggered control, Lyapunov methods, and simulations to ensure consensus and stability in fixed network topologies.

Contribution

It introduces a stability analysis framework for linear multiagent systems under steady-state conditions with event-triggered control and Lyapunov methods, applicable to both discrete and continuous time.

Findings

System achieves average consensus under steady-state conditions

Lyapunov functions verify system stability

Simulation confirms theoretical results

Abstract

Gradual advancement of control technology gives rise to the studies of the stability of linear systems. The stability of the linear multiagent system is motivated by increasing utilization of agent dynamics together with the number of control protocols associated with each agent. To that respect, in this report, the idea of event-triggered control and the stability of the linear multiagent system under steady-state performance conditions will be presented. By applying a steady-state condition, the state of an agent in the closed-loop linear system will be discussed using fixed network topology both in discrete-time and continuous-time. Moreover, the system is also analyzed by employing the Lyapunov function methods, and then an average consensus of the system will also be realized. Finally, we will verify the system's average consensus and stability via a simulation example.