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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 existing strong stabilization methods 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.

Bio: Hitay Özbay is an Electrical and Electronics Engineering Professor at Bilkent University, Ankara Turkey; he is currently a Visiting Professor in the Electrical and Computer Engineering Department at the University of California, Davis. He received the B.Sc., M.Eng., and PhD degrees from Middle East Technical University (1985), McGill University (1987), and University of Minnesota (1989), respectively. His prior academic affiliations include the University of Rhode Island (1989-1990), and The Ohio State University (1991-2006) where he was a Professor of Electrical and Computer Engineering before joining Bilkent University. He also held a visiting position at INRIA, France (2009-2010). Professor Özbay was a member of the Board of Governors of the IEEE Control Systems Society (2017-2019) and a general assembly member of the European Control Association (EUCA), representing Turkey, 2013-2019. He served as Associate Editor for many journals, including IEEE Transactions on Automatic Control, SIAM Journal on Control and Optimization, and Automatica. He also served as Vice-Chair of IFAC Technical Committees on Networked Control Systems (2005-2011) and Linear Control Systems (2017-2023). He is a Fellow of IEEE.