%0 Journal Article %T Necessary and Sufficient Conditions for Distinguishability of Linear Control Systems %A Hongwei Lou %J Mathematics %D 2011 %I arXiv %X Distinguishability takes a crucial rule in studying observability of hybrid system such as switched system. Recently, for two linear systems, Lou and Si gave a condition not only necessary but also sufficient to the distinguishability of linear systems. However, the condition is not easy enough to verify. This paper will give a new equivalent condition which is relatively easy to verify. %U http://arxiv.org/abs/1102.2731v2