English

Frequency-domain criterion on the stabilizability for infinite-dimensional linear control systems

Optimization and Control 2024-03-07 v2

Abstract

A quantitative frequency-domain condition related to the exponential stabilizability for infinite-dimensional linear control systems is presented. It is proven that this condition is necessary and sufficient for the stabilizability of special systems, while it is a necessary condition for the stabilizability in general. Applications are provided.

Keywords

Cite

@article{arxiv.2308.15082,
  title  = {Frequency-domain criterion on the stabilizability for infinite-dimensional linear control systems},
  author = {Karl Kunisch and Gengsheng Wang and Huaiqiang Yu},
  journal= {arXiv preprint arXiv:2308.15082},
  year   = {2024}
}

Comments

31 Pages

R2 v1 2026-06-28T12:07:00.780Z