@Article{CMR-28-3,
author = {Liu, Liu and Yufeng, Lu},
title = {Commutant Lifting for Optimal Control of Time-Varying Systems},
journal = {Communications in Mathematical Research },
year = {2012},
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/2012-CMR-19048},
url = {https://global-sci.com/article/81838/commutant-lifting-for-optimal-control-of-time-varying-systems}
}