Minimal positive Markov realizations
Systems and Control
2025-09-04 v3 Systems and Control
Abstract
Finding a positive state-space realization with the minimum dimension for a given transfer function is an open problem in control theory. In this paper, we focus on positive realizations in Markov form and propose a linear programming approach that computes them with a minimum dimension. Such minimum dimension of positive Markov realizations is an upper bound of the minimal positive realization dimension. However, we show that these two dimensions are equal for certain systems.
Keywords
Cite
@article{arxiv.2502.21102,
title = {Minimal positive Markov realizations},
author = {Hamed Taghavian and Jens Sjölund},
journal= {arXiv preprint arXiv:2502.21102},
year = {2025}
}