English

Minimax Observers for Linear DAEs

Optimization and Control 2017-02-20 v4

Abstract

In this note we construct minimax observers for linear stationary DAEs with bounded uncertain inputs, given noisy measurements. We prove a new duality principle and show that a finite (infinite) horizon minimax observer exists if and only if the DAE is \ell-impulse observable (\ell-detectable) . Remarkably, the regularity of the DAE is not required.

Cite

@article{arxiv.1608.08039,
  title  = {Minimax Observers for Linear DAEs},
  author = {Sergiy Zhuk and Mihaly Petreczky},
  journal= {arXiv preprint arXiv:1608.08039},
  year   = {2017}
}

Comments

The only difference with respect to the previous version is that a few typos have been corrected

R2 v1 2026-06-22T15:33:44.735Z