# Hitay Özbay (Bilkent University)

Date

Friday October 4, 20242:30 pm - 3:30 pm

Location

234 JEFFERY HALL**Math & Stats Department Colloquium
Friday, October 4, 2024**

**Time:** 2:30 p.m. **Place:** Jeffery Hall, Room 234

**Speaker:** Hitay Özbay (Bilkent University)

**Title:** Analytic Interpolation Methods for Strong Stabilization of Time Delay Systems

**Abstract:** Strong stabilization of a plant is defined as finding a stabilizing feedback controller that is itself stable. This problem has attracted interest since the 1970s, and various design techniques have been proposed. On the other hand, many variations of the problem with additional conditions, such as robust stability, H2, or H∞ optimality, are difficult and typically solved under certain sufficient conditions. This presentation will briefly review interpolation methods for constructing strongly stabilizing controllers for LTI finite-dimensional plants and illustrate their extensions to systems with time delays. We also present a new family of controllers for unstable time delay systems and discuss related open problems.