Cyclic Vectors of Associative Matrix Algebras and Reachability Criteria for Linear and Nonlinear Control Systems

Yuliy Baryshnikov; Andrey Sarychev

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arXiv · 1503.08044

Cyclic Vectors of Associative Matrix Algebras and Reachability Criteria for Linear and Nonlinear Control Systems

Yuliy Baryshnikov·Andrey Sarychev

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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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Yuliy Baryshnikov, Andrey Sarychev. 2015-03-27. Cyclic Vectors of Associative Matrix Algebras and Reachability Criteria for Linear and Nonlinear Control Systems. https://arxiv.org/abs/1503.08044

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