Section 16. Control Theory and Optimization

Minimization problems. Controllability, observability, stability. Robotics. Stochastic systems and control. Optimal control. Optimal design, shape design. Linear, non-linear, integer, and stochastic programming. Inverse problems. Applications.
Nikhil Bansal

University of Michigan, USA

Survey lecture on discrepancy theory and related algorithms

Jointly in sections 14, 18

Nikhil Bansal is the Patrick C. Fischer professor of Computer Science and Engineering at the University of Michigan, Ann Arbor. He completed his PhD from Carnegie Mellon University in 2003 and has previously worked at IBM Research, TU Eindhoven and CWI Amsterdam. He is broadly interested in theoretical computer science with focus on the design and analysis of algorithms, discrete mathematics and combinatorial optimization. Some of his notable works include understanding the algorithmic aspects of discrepancy and algorithms for the k-server problem.
Regina Burachik

University of South Australia, Australia

Regina Burachik is a Professor of Mathematics at the University of South Australia. She earned a PhD from IMPA (Institute of Pure and Applied Mathematics, Rio de Janeiro) on extensions of the proximal point method for variational inequalities. Her research interests include several areas of (smooth and non-smooth) optimization, ranging from functional analysis to convex analysis and variational inequalities.

She publishes both on theoretical as well as practical aspects of optimization. Her theoretical interests include (i) convex analysis, (ii) optimality conditions for (convex and non-convex) optimization, (iii) enlargements of maximally monotone operators, and (iv) generalized augmented Lagrangian duality.

Her applied interests include solution techniques for a broad family of problems, including (i) smooth and nonsmooth, convex and nonconvex, optimization, (ii) multiobjective optimization and (iii) variational inequalities. She co-authored with Alfredo Iusem a Springer book entitled «Set-valued Analysis and enlargements of monotone operators», which focuses on point-to-set theory for variational analysis.

Martin Burger

University Erlangen-Nurnberg, Germany

Martin Burger is a Professor of Applied Mathematics at the Department of Mathematics, Friedrich-Alexander University Erlangen-Nürnberg. His interests include nonlinear partial differential equations, inverse problems, and variational techniques in imaging. In particular, he is known for the development and mathematical analysis of nonlinear regularization methods for inverse and imaging methods. His further interests include the development of mathematical models in life and social sciences, which together drive interdisciplinary research developments, e.g., in biomedical imaging. Martin Burger has received several awards and honors for his scientific contributions, such as the Calderon prize for distinguished contributions in the field of inverse problems.

He serves on editorial boards of several journals and is one of the editors-in-chief of the European Journal of Applied Mathematics.

Coralia Cartis

University of Oxford, UK

Dr Coralia Cartis is Associate Professor in Numerical Optimization at the Mathematical Institute, University of Oxford since 2013, and a Turing fellow at the Alan Turing Institute for Data Science since 2016. Previously, she held academic and research positions at University of Edinburgh and Rutherford Appleton Laboratory. She holds a Ph.D. degree in Mathematics, University of Cambridge (supervisor: Prof Mike Powell FRS) and a B.Sc. in Mathematics from Babesh-Bolyai University, Cluj-Napoca, Romania.

Her research interests are in the development and analysis of nonlinear optimisation algorithms, with particular emphasis on complexity/global rates of convergence, as well as diverse applications of optimisation from climate modelling to signal processing and machine learning. She was awarded a Leslie Fox Prize in Numerical Analysis for her PhD research, and a 2019 best paper prize from the journal of Mathematical Programming Computation. She serves on Editorial Boards of six high-quality journals in optimization, numerical analysis and data science (such as SIAM J Optimization, SIAM J Mathematics of Data Science, Mathematics of Computation).

Yu-Hong Dai

Chinese Academy of Sciences, China

Yu-Hong Dai is a Professor of Mathematical Optimization at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences.

His interests include continuous optimization, integer programming and applied optimization. In particular, he is known for the Dai-Yuan nonlinear conjugate gradient method and the perfect non-convergence example for the BFGS quasi-Newton method. He received many honors, including Shiing-Shen Chern Mathematics Award, Keng Kang Prize of Scientific Computing, and Xiao Shutie Applied Mathematics Award. He is also interested in building software and attacking practical optimization problems.

Qi Lü

Sichuan University, China

Qi Lü is a Professor of Mathematics at the School of Mathematics, Sichuan University, Chengdu, China. His main research interest is mathematical control theory, including, in particular, control theory of deterministic and stochastic partial differential equations.
Asuman Ozdaglar

Massachusetts Institute of Technology, USA

Asu Ozdaglar received the B.S. degree in electrical engineering from the Middle East Technical University, Ankara, Turkey, in 1996, and the S.M. and the Ph.D. degrees in electrical engineering and computer science from the Massachusetts Institute of Technology, Cambridge, in 1998 and 2003, respectively.

She is the Mathworks Professor of Electrical Engineering and Computer Science (EECS) at the Massachusetts Institute of Technology (MIT). She is also the department head of EECS and deputy dean of academics of the Schwarzman College of Computing at MIT. Her research expertise includes optimization theory, with emphasis on nonlinear programming and convex analysis, game theory, with applications in communication, social, and economic networks, distributed optimization and control, and network analysis with special emphasis on contagious processes, systemic risk and dynamic control.

Professor Ozdaglar is a recipient of a Microsoft fellowship, the MIT Graduate Student Council Teaching award, the NSF Career award, the 2008 Donald P. Eckman Award of the American Automatic Control Council, the 2014 Spira teaching award, and Keithley, Distinguished School of Engineering and Mathworks professorships. She is an IEEE fellow. She served on the Board of Governors of the Control System Society in 2010 and was an associate editor for IEEE Transactions on Automatic Control. She was the inaugural area co-editor for the area entitled «Games, Information and Networks» in the journal Operations Research. She is aco-author of the book entitled «Convex Analysis and Optimization» (Athena Scientific, 2003).

Marius Tucsnak

University of Bordeaux, France

Marius Tucsnak is a professor of mathematics at the University of Bordeaux, France. His interests include control theory for infinite dimensional systems and the analysis of nonlinear partial differential equations describing fluid-structure interactions. In particular, he is known for his contributions to the development of new functional, complex and harmonic analysis methods in obtaining controllability results for systems described by linear partial differential equations. Concerning the analysis of systems describing fluid-structure interactions, his most well-known contribution is the global in time existence theorem for the equations describing the motion of a solid in a viscous incompressible fluid, which he obtained (in collaboration with Victor Starovoitov and Jorge San Martin) in 2002. His book «Observation and control for operator semigroups», which is a joint work with George Weiss from 2009, is a major reference text. He is a member of Institut Universitaire de France (IUF) and he received the Spiru Haret prize of the Romanian Academy.
Thu Nov 18 2021 13:45:26 GMT+0300 (Moscow Standard Time)