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

作者:Tie Lin*; Cai Kai Yuan; Lin Yan
来源:Journal of the Franklin Institute, 2013, 350(4): 898-910.
DOI:10.1016/j.jfranklin.2013.01.008

摘要

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.