ABSTRACT
This paper initially reviews the class of nonnegative discrete-time systems and presents new theorems on robust stability of interval polytope of matrices associated with this class. We then analyze the matrix theoretic results involving nonnegative maintainability with respect to the problem of robust stabilization of interval discrete systems. Using state or dynamic feedback, we design a controller such that the closed-loop interval system is robustly stabilized and at the same time becomes nonnegative. The procedure is to characterize the set of robust controllers by means of matrix inequalities and to choose a suitable controller by solving an optimization algorithm.
