Robust stability for switched positive systems with D-perturbation and time-varying delay

This paper is focused on studying the robust stability of switched positive systems with D-perturbation and time-varying delay. All subsystems are considered to be unstable. Based on the partition of state space on the nonnegative orthant, sufficient conditions in terms of linear programming are obtained to guarantee such system to be asymptotically stable. The hysteresis switching laws are designed to prevent chattering behavior via the single copositive Lyapunov function and multiple copositive Lyapunov functions approaches, respectively. Two illustrative examples concerned with price model of goods are provided to display the effectiveness of the obtained results.