Year: 2012
Communications in Mathematical Research , Vol. 28 (2012), Iss. 3 : pp. 252–264
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-CMR-19048
Communications in Mathematical Research , Vol. 28 (2012), Iss. 3 : pp. 252–264
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: optimal control four block problem commutant lifting time-varying nest algebra.