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.
Cyclic Vectors of Associative Matrix Algebras and Reachability Criteria for Linear and Nonlinear Control Systems / Baryshnikov, Yuliy; Sarychev, Andrey. - CD-ROM. - (2015), pp. 2695-2701. (Intervento presentato al convegno 54th IEEE Conference on Decision and Control tenutosi a Osaka, Giappone nel Dic. 2015) [10.1109/CDC.2015.7402623].
Cyclic Vectors of Associative Matrix Algebras and Reachability Criteria for Linear and Nonlinear Control Systems
SARYCHEV, ANDREY
2015
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.
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