A sufficient and necessary condition for the controllability of linear hybrid systems

An algebraic approach for the controllability analysis of a class of hybrid control systems called controlled switching linear hybrid systems is proposed. A sufficient and necessary condition is obtained based on the algebraic manipulation of related system matrices. This consequence is directly oriented to numerical computation of the controllability. Beside that, the existing result for LTI systems and results become special cases of the result of this paper. Finally, numerical examples are used to illustrate the obtained result.