Design of stabilizing state feedback for delay systems via convex optimization

E. Feron, V. Balakrishnan, and S. Boyd

Proceedings IEEE Conference on Decision and Control, 1:147-148, Tucson, Arizona, December 1992.

For linear systems with delays, we define a new class of Lyapunov-like functionals that may be used to prove stability. We also show how we may design a stabilizing (delayed) state feedback for delay systems using these functionals and convex optimization techniques.