Stabilization of Linear Time-Invariant Interval Systems via Constant State Feedback Control

Abstract

This paper investigates the stabilization problem of linear uncertain systems via constant state feedback control. First, we show that to insure an interval system stabilizable, some entries of the system matrices must be sign invariant. More precisely, the number of the least-required sign-invariant entries in system matrices is equal to the system order. Then, we study the stabilizability of a set of interval systems called standard systems which contain sufficient numbers of sign-invariant entries in proper locations.