@Article{CMR-28-252,
author = {Liu , Liu and Lu , Yufeng},
title = {Commutant Lifting for Optimal Control of Time-Varying Systems},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {28},
number = {3},
pages = {252--264},
abstract = {<p style="text-align: justify;">This paper uses the commutant lifting theorem for representations of
the nest algebra to deal with the optimal control of infinite dimensional linear time-varying systems. We solve the model matching problem and a certain optimal feedback control problem, each of which corresponds with one type of four-block problem.
We also obtain a new formula for the optimal performance and prove the existence
of an optimal controller.</p>},
issn = {2707-8523},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cmr/19048.html}
}