Controllability of right invariant systems on real simple Lie groups of typeF4,G2,Cn, andBn*

We deal with controllability of right-invariant systems for some real simple Lie groups ofF4,G2,Cn, andBn types. We prove that the so-calledcontrollability rank condition is a necessary and sufficient condition for controllability for an open class of systems. In other papers, analogous results were obtained for Lie groups of the remaining types (i.e.,E6,E7,E8,An, andDn) using a special property of the root systems of their Lie algebras.