Finite-time average estimation for multiple double integrators with unknown bounded inputs

The finite-time average estimation issues for multiple double integrators with unknown bounded inputs is studied in this article. By utilizing distributed binary measurements, a distributed estimation algorithm is designed for each agent to estimate the average of multiple signals of multiple double-integrator with unknown bounded inputs. By developing a spacial Lyapunov function, the proposed algorithms can obtain the average of multiple signals in a finite settling time, which can be estimated theoretically in this paper.