In the present paper optimal time-invariant state feedback controllers are designed for a class of discrete time-varying control systems with Markov jumping parameter and quadratic performance index. We assume that the coefficients have limits as time tends to infinity and the boundary system is absolutely observable and stabilizable. Moreover, following the same line of reasoning, an adaptive controller is proposed in the case when system parameters are unknown but their strongly consistent estimators are available.
@article{bwmeta1.element.bwnjournal-article-amcv12i2p203bwm,
author = {Czornik, Adam and \'Swierniak, Andrzej},
title = {On the discrete time-varying JLQG problem},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {12},
year = {2002},
pages = {203-207},
zbl = {1049.93087},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv12i2p203bwm}
}
Czornik, Adam; Świerniak, Andrzej. On the discrete time-varying JLQG problem. International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) pp. 203-207. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv12i2p203bwm/
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