  This work deals with the event-triggered finite-time control for high-order
systems based on an implicit Lyapunov function (ILF). With the construction of
an inverse optimal problem, a novel expression of ILF is obtained. By designing
the event-triggering mechanism elaborately, it is guaranteed that the trivial
solution of the closed-loop system is globally finite-time stable and there
exists no Zeno phenomenon. Extensions to the scenario with a multi-agent system
are studied where a finite-time tracking control drives all the agents to reach
a consensus. The obtained theoretical results are supported by numerical
simulations.
