Design of stabilizing state feedback for delay systems via convex optimization

For linear systems with delays, the authors define a new class of Lyapunov-like functionals that can be used to prove stability. They also show how one can design a stabilizing (delayed) state feedback for delay systems using these functionals and convex optimization techniques. It is shown how the problem of the design of a stabilizing (delayed) state-feedback can be posed as a convex feasibility problem