Exponential stabilization of controlled positive delayed systems under input control constraint: A delay decomposition technique

This paper relates to the stabilization of continuous linear positive time-delay systems with input control constraint. The delay considered is a bounded time-varying one. Previously, we demonstrated that the delay-decompsotion technique is less conservative when it is applied to linear positive time-delay systems. Thus, our approach, in this work, is founded on Lyapunov-Krasovskii functional (LKF) by using delay bi-decomposition. The synthesis of state-feedback controller is developed in terms of linear matrix inequalities (LMI). An illustrative example is used in the interest of showing the effectiveness of the theoretic result.