English

On Coercivity and the Frequency Domain Condition in Indefinite LQ-Control

Optimization and Control 2022-09-23 v2

Abstract

We introduce a coercivity condition as a time domain analogue of the frequency criterion provided by the famous Kalman-Yakubovich-Popov lemma. For a simple stochastic linear quadratic control problem we show how the coercivity condition characterizes the solvability of Riccati equations.

Cite

@article{arxiv.2010.07401,
  title  = {On Coercivity and the Frequency Domain Condition in Indefinite LQ-Control},
  author = {Tobias Damm and Birgit Jacob},
  journal= {arXiv preprint arXiv:2010.07401},
  year   = {2022}
}

Comments

11 pages

R2 v1 2026-06-23T19:21:36.790Z