Stability Of Interval Positive Systems With Delays

The stability of a class of interval positive systems with delays is considered in this paper. The interval system consists of a linear part and a nonlinear part: the linear part is described by interval matrices, and the nonlinear part is coupled by uncertain nonlinear norm bounded functions. Combining the verification for positive definiteness of every symmetric matrix within the given interval matrix, we propose a verification theorem which guarantees the asymptotical stability of any real system within the given interval system.