A linear algebraic criterion for controllability of both continuous-time and discrete-time symmetric bilinear systems

This paper presents a necessary and sufficient condition for controllability of two-dimensional continuous-time and discrete-time symmetric bilinear systems. The presented condition is a linear algebraic version which is easy to apply and verify. In particular, for the continuous-time case, the nece...

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Bibliographic Details
Published inJournal of the Franklin Institute Vol. 350; no. 4; pp. 898 - 910
Main Authors Tie, Lin, Cai, Kai-Yuan, Lin, Yan
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.05.2013
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Summary:This paper presents a necessary and sufficient condition for controllability of two-dimensional continuous-time and discrete-time symmetric bilinear systems. The presented condition is a linear algebraic version which is easy to apply and verify. In particular, for the continuous-time case, the necessary and sufficient condition can replace the classical Lie-algebraic one. For the discrete-time case, the necessary and sufficient condition is new.
ISSN:0016-0032
1879-2693
DOI:10.1016/j.jfranklin.2013.01.008