Necessary and Sufficient Conditions for Distinguishability of Linear Control Systems

Hongwei Lou

Published 2011-02-14, updated 2011-02-18Version 2

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.