Prof. Anders Lindquist
Shanghai Jiao Tong University, China
On Moment Problems in Robust Control, Spectral Estimation, Image Processing and System Identification
Moment problems are ubiquitous in both mathematics and engineering. Such inverse problems are typically underdetermined and give rise to families of particular solutions. Therefore finding a solution that also satisfies a natural optimality criterion and additional design specifications is an important general problem in engineering. Many problems in circuit theory, power systems, robust control, signal processing, spectral estimation, statistical modeling, image processing and identification lead to a non-classical version of the moment problem, reflecting the importance of rational functions in engineering applications.
Although this version of the problem is nonlinear, there exists a natural, universal family of strictly convex optimization criteria defined on the convex set of particular solutions. This provides a powerful paradigm for smoothly parameterizing, comparing and shaping the solutions based on various additional design criteria and enables us to establish the smooth dependence of solutions on problem data.
Anders Lindquist is presently a Zhiyuan Chair Professor and National QianRen Scholar at Shanghai Jiao Tong University in China and the Director of the Center for Industrial and Applied Mathematics at the Royal Institute of Technology (KTH), Stockholm, Sweden.
He is a Member of the Royal Swedish Academy of Engineering Sciences, a Foreign Member of the Chinese Academy of Sciences, a Foreign Member of the Russian Academy of Natural Sciences, an Honorary Member the Hungarian Operations Research Society, a Life Fellow of IEEE (Institute of Electrical and Electronics Engineers), a Fellow of SIAM (Society for Industrial and Applied Mathematics), and a Fellow of IFAC(International Federation of Automatic Control). He is an Honorary Doctor at the Technion (Israel Institute of Technology), and the recipient of the 2009 Reid Prize in Mathematics from SIAM and the 2003 George S. Axelby Outstanding Paper Award of the IEEE Control Systems Society (CSS). In 2016 he received the Shanghai Magnolia Award from the Shanghai municipalgovernment.
Dr. Lindquist has been a Professor in three continents. After receiving a PhD degree in 1972 from the Royal Institute of Technology, Stockholm, Sweden, he had a full academic career in the United States. He began his career in the USA in 1972 as a postdoc of R.E. Kalman in the Center for Mathematical Systems Theory at the University of Florida, after which he held visiting positions at Brown University and the State University of New York at Albany. In 1974 he became an Associate Professor, and in 1980 a (full) Professor of Mathematics at the University of Kentucky, where he remained until 1983. In 1982 he was appointed to the Chair of Optimization and Systems Theory at the Royal Institute of Technology, Stockholm, Sweden, and from 2000 until December 2009 he was the Head of the Mathematics Department there. He has also held visiting positions at the University of Padova and the ConsiglioNazionaledelleRicerche, Italy, Arizona State University, International Institute of Applied Systems Analysis, Vienna, Russian Academy of Sciences, Moscow, East China Normal University, Shanghai, Technion, Haifa, Israel, University of California at Berkeley, and University of Kyoto, Japan, and between 1989 and 2009 he was an Affiliate Professor at Washington University, St Louis.
Lindquist is presently on the editorial boards of SIAM Review, Proceedings of the Royal Society A and EMS Surveys in Mathematical Sciences. He has served on many other editorial boards of journals, among them the Journal of Mathematical Systems, Estimation, and Control (Communicating Editor), Systems and Control Letters, Adaptive Control and Signal Processing, ActaAutomaticaSinica, and Chinese Journal of Mathematics, as well as book series, namely Systems and Control: Foundations and Applications, Applied and Computational Control, Signals, and Circuits, and Progress in Systems and Control. Since 1983 he has been a member, and between 1985 and 1987 the chairman, of the steering committee for the biennial international symposia on the Mathematical Theory of Networks and Systems (MTNS). For the first half of 2003, he served as the scientific leader at InstitutMittag-Leffler.