@inproceedings{d3b78d443d9241ac83b2ccba2db838ac,
title = "Cyclic vectors of associative matrix algebras and reachability criteria for linear and nonlinear control systems",
abstract = "Motivated by the controllability/reachability problems for switched linear control systems and some classes of nonlinear (mechanical) control systems we address a related problem of existence of a cyclic vector for an associative (matrix) algebra. We provide a sufficient criterion for existence of cyclic vector and draw conclusions for controllability.",
author = "Yuliy Baryshnikov and Andrey Sarychev",
note = "Funding Information: *This work was in part supported by AFOSR under Grant FA9550-11-1-0216 1Yuliy Baryshnikov is with the Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA, ymb@illinois.edu 2Andrey Sarychev is with the Department of Mathematics and Informatics U.Dini, University of Florence, Firenze, 50134, Italy asarychev@unifi.it Publisher Copyright: {\textcopyright} 2015 IEEE.; 54th IEEE Conference on Decision and Control, CDC 2015 ; Conference date: 15-12-2015 Through 18-12-2015",
year = "2015",
month = feb,
day = "8",
doi = "10.1109/CDC.2015.7402623",
language = "English (US)",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "2695--2701",
booktitle = "54rd IEEE Conference on Decision and Control,CDC 2015",
address = "United States",
}