Degree of robust-Stability of dynamic discrete interval systems

The problem for the degree of robust-stability of dynamic discrete interval systems is investigated by means of the method of matrix technique.This paper firstly presents the idea of the degree of schur and asymptotic and robust-stability for the constant matrix and discrete linear systems and dynamic discrete interval systems respectively,then some simple practical necessary and Sufficient conditions for the degree of robust-stability of discrete interval systems are obtained,which use only the boundary matrix for the interval matrix. These results as criteria for the corresponding stability(case of h=0) extend the related conditions described in the existing literature(M.E.Sezer,et al.IEEE Trans. Automat. Contr.1994; and Peng Xiao-Lin,Chinese Science Bulletin,1991).Furthermore,the proposition for the schur-stabilily of 12(A+AT) implies schur-stability of A is also given.