In this paper we study the characteristics of matrices that commute with a given matrix A It appears that these are related to the null space of a well structured matrix More precisely any matrix R that commutes with A has its vectorized column in the null space of that well structured matrix Hence the problem of nding such matrix R is equivalent to that of obtaining a representation of a basis...

Hybrid Systems consist of continuous time and/or discrete time processes interfaced with some logical or decision making process. In this paper, a class of hybrid systems switched linear systems is considered. It is shown that for this class of hybrid systems, it is possible to combine subspace methods with mixed integer programming. While most approaches are based on an input-output framework,...