A novel approach to solve the problem of distributed state estimation of linear time-invariant systems is proposed in this paper. It relies on the application of parameter estimation-based observers, where the state observation task is reformulated as a parameter estimation problem. In contrast with existing results our solution achieves convergence in finite-time, without injection of high gain, and imposes very weak assumptions on the communication graph---namely the existence of a Hamiltonian walk. The scheme is shown to be robust vis-\'a-vis external disturbances and communication delays.
@article{arxiv.2005.12940,
title = {Distributed Observers for LTI Systems with Finite Convergence Time: A Parameter Estimation-based Approach},
author = {Romeo Ortega and Emmanuel Nuño and Alexei Bobtsov},
journal= {arXiv preprint arXiv:2005.12940},
year = {2020}
}