Impulsive control of unstable homogeneous positive systems of degree one with unbounded time-varying delay

This paper investigates the impulsive control of unstable homogeneous positive systems of degree one with unbounded time-varying delay. By using max-separable Lyapunov functions and Razumikhin technique, sufficient conditions ensuring mu-stability are derived. It should be noted that it is the first time that impulsive stabilization results for such systems are given. A numerical example is presented to demonstrate the effectiveness of the control strategy.