  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.
