LP Approach to Constrained Stabilization of Linear Differential-Difference Equations with Unbounded Delay

In this paper, we propose an efficient approach based on linear programming to study constrained stabilization problem of linear positive differential-difference equations with unbounded delay. We first propose new characterizations of the positivity of the equations, then delaydependent conditions for designing state feedback controllers of such systems are provided. The conditions are presented via solving linear programming problem. A numerical example is provided to illustrate the validity and effectiveness of the theoretical result