Stability of interval positive continuous-time linear systems

T. Kaczorek
2018 unpublished
It is shown that the convex linear combination of the Hurwitz polynomials of positive linear systems is also the Hurwitz polynomial. The Kharitonov theorem is extended to the positive interval linear systems. It is also shown that the interval positive linear system described by state equation x ̇ = Ax, A 2 ℜ n×n , A 1 • A • A 2 is asymptotically stable if and only if the matrices A k = 1, 2 are Hurwitz Metzler matrices.
doi:10.24425/119056 fatcat:v7tvbgamtza5zhqdqqzt5fh3qe