English

Optimal robustness of passive discrete time systems

Optimization and Control 2019-09-17 v1 Numerical Analysis Numerical Analysis

Abstract

We construct optimally robust realizations of a given rational transfer function that represents a passive discrete-time system. We link it to the solution set of linear matrix inequalities defining passive transfer functions. We also consider the problem of finding the nearest passive system to a given non-passive one.

Keywords

Cite

@article{arxiv.1909.06871,
  title  = {Optimal robustness of passive discrete time systems},
  author = {Volker Mehrmann and Paul Van Dooren},
  journal= {arXiv preprint arXiv:1909.06871},
  year   = {2019}
}

Comments

20 pages 2 figures

R2 v1 2026-06-23T11:15:51.707Z