Characterization by detectability inequality for periodic stabilization of linear time-periodic evolution systems
Optimization and Control
2020-10-26 v1
Abstract
Given a linear time-periodic control system in a Hilbert space with a bounded control operator, we present a characterization of periodic stabilization in terms of a detectability inequality. Similar characterizationwas built up in [E. Trelat, G. Wang, Y. Xu, Characterization by observability inequalities of controllability and stabilization properties, Pure and Appl. Anal., 2 (2020), 93-122] for time-invariant systems.
Cite
@article{arxiv.2010.12137,
title = {Characterization by detectability inequality for periodic stabilization of linear time-periodic evolution systems},
author = {Yashan Xu},
journal= {arXiv preprint arXiv:2010.12137},
year = {2020}
}
Comments
13 pages