Stability of interval positive of integer and fractional orders continuous-time linear systems

The asymptotic stability of interval positive of integer and fractional orders of continuous-time linear systems is investigated. The classical Kharitonov theorem is extended to the interval positive of integer and fractional orders continuous-time linear systems. It is shown that: 1) The interval positive linear systems is asymptotically stable if and only if the matrices A(1), A(2) are Hurwitz Metzler. 2) The interval positive fractional systems are asymptotically stable if and only if A(1), A(2) are Hurwitz Metzler. 3) The interval positive of integer and fractional orders continuous-time linear systems with interval characteristic polynomials are asymptotically stable if and only if their lower bounds of the coefficients are positive.