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

Abstract

SummaryThis 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 ‐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.