Stability of Interval Positive Fractional Continuous Time Linear Systems

Abstract

The asymptotic stability of interval positive fractional continuous-time linear systems is investigated. It is shown that the interval positive fractional continuous-time linear systems described by the interval state matrix A∊[A1, A2] is asymptotically stable if the lower and upper bounds matrices A1 and A2 are Schur matrices. The classical Kharitonov (Charitonow) theorem is extended to the interval positive fractional continuous-time linear systems. It is shown that the interval positive fractional systems with characteristic interval polynomials are asymptotically stable if and only if their lower bounds of the coefficients are positive.