Mathematical Control Theory II

This treatment of modern topics related to mathematical systems theory forms the proceedings of a workshop, Mathematical Systems Theory: From Behaviors to Nonlinear Control, held at the University of Groningen in July 2015. The workshop celebrated the work of Professors Arjan van der Schaft and Harry Trentelman, honouring their 60th Birthdays.

The second volume of this two-volume work covers a variety of topics related to behavioral systems and robust control. After giving a detailed account of the state-of the art in the related topic, each chapter presents new results and discusses new directions. As such, this volume provides a broad picture of the theory of behavioral systems and robust control for scientists and engineers with an interest in the interdisciplinary field of systems and control theory. The reader will benefit from the expert participants' ideas on exciting new approaches to control and system theory and their predictions of future directions for the subject that were discussed at the workshop.

A unique overview of important developments in behavioral systems and robust control over three decades Provides the reader with novel insights into the interaction of behavioral and robust control Predictions of future trends and directions by an authoritative group of international experts inspire ideas for new research Includes supplementary material: sn.pub/extras

Auteur
Madhu N. Belur received the B.Tech. degree from the Indian Institute of Technology Bombay, India in 1997. He received the Ph.D. degree from the University of Groningen, the Netherlands in 2003. He was a Junior Engineer in Tata Motors, Pune, India during the years 1997 and 1998. He joined as an Assistant Professor in the Department of Electrical Engineering, Indian Institute of Technology Bombay in 2003, where he is currently an Associate Professor. His teaching and research interests include algorithms in dissipative systems theory, behavioral approach to control, impulse elimination in dynamical systems, graph theoretic methods in structural controllability and electrical network theory. He also pursues numerical linear algebra problems in control like perturbation/distance problems. He has dealt with applications of control theory for active queue management of internet routers and for decentralized control of voltage source inverters. He has more than 50 papers in reputed international journals and conferences. He has been on the organizing committees of various international and Indian national conferences.
Kanat Camlibel received the Ph.D. degree in mathematical theory of systems and control from Tilburg University, Tilburg, The Netherlands, in 2001. Currently, he is affiliated with Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, Groningen, The Netherlands, where he served as an Assistant Professor between 2007 and 2013. From 2001 to 2007, he held Post-Doctoral/Assistant Professor positions with the University of Groningen, Tilburg University, and Eindhoven Technical University, Eindhoven, The Netherlands. His research interests include differential variational inequalities, complementarity problems, optimization, piecewise affine dynamical systems, switched linear systems, constrained linear systems, multi-agent systems, model reduction, and geometric theory of linear systems. Dr. Camlibel has published 40journal articles and 60 conference articles. He has served as an Associate Editor for International Journal of Robust and Nonlinear Control for several years and currently is an Associate Editor for SIAM Journal on Control and Optimization and Systems & Control Letters. Dr. Camlibel serves as an Associate Editor also for a number of conferences including IEEE Control and Decision Conference, American Control Conference, European Control Conference as well as IFACWorld Congress on Automatic Control. In addition, he served as International Program Committee member for various conferences including the 3rd IFAC Conference on Analysis and Design of Hybrid Systems, 12th European Control Conference, and 21st International Symposium on Mathematical Theory of Networks and Systems.
Paolo Rapisarda got a Laurea (M.Sc.) degree in Computer Science at the University of Udine, Italy, and a Ph.D. in Mathematics at the University of Groningen, The Netherlands, working under the supervision of Jan C. Willems and Harry L. Trentelman. He has worked as a Lecturer at the Department of Electrical, Computer and Electronics Engineering of the University of Trieste, Italy; and at the Department of Mathematics of the University of Maastricht, The Netherlands. Currently he is Senior Lecturer at the Vision, Learning and Control group of the School of Electronics and Computer Science of the University of Southampton, United Kingdom. He is an Associate Editor for Systems and Control Letters and Multidimensional Systems and Signal Processing. He was chairman of the IEEE Technical Commitee on Behavioral Systems and Control Theory from 2006 to 2012. He has also served as a member of the International Program Committee for various conferences including the Symposium on Mathematical Theory of Networks and Systems (4 editions), the IFAC International Conference on Intelligent Control and Automation Science (ICONS 2013), the IMACS Symposium on Mathematical Modeling (MathMod 2005), and the IEEE Conference on Decision and Control (CDC 2005).
Jacquelien M. A. Scherpen received the M.Sc. and Ph.D. degrees in applied mathematics from the University of Twente, The Netherlands, in 1990 and 1994, respectively, in the field of systems and control. From 1994 to 2006 she was at the Delft University of Technology, The Netherlands, with the Circuits and Systems and Control Engineering groups of Electrical Engineering. From 2003 to 2006 she was with the Delft Center for Systems and Control at Delft University of Technology, The Netherlands. Since Septem- ber 2006 she has been holding a Professor position at the University of Groningen in the Engineering and Technology institute Groningen (ENTEG) of the faculty of Mathematics and Natural Sciences. Since 2013 she is scientific director of ENTEG. She has held visiting research positions at the Universit de Compiegne, France, SUPELEC, Gifsur-Yvette, France, the University of Tokyo, Japan and the Old Dominion University, VA, USA. Her research interests include nonlinear model reduction methods, realization theory, nonlinear control methods, with in particular modeling and control of physical systems with applications to electrical circuits, electro-mechanical systems and mechanical systems. Distributed control systems with applications to smart grids, industrial and space applications are included in her interests. Dr. Scherpen has been an Associate Editor of the IEEE Transactions on Automatic Control, and of the International Journal of Robust and Nonlinear Control. Currently, she is an Associate Editor of the IMA Journal of Mathematical Control and Information, and she is on the editorial board of the International Journal of Robust and Nonlinear Control. She is (co-author of 58 papers in high quality peer reviewed journals, and 9 chapters in books, co-editor of a book, and more than 140 papers in peer-reviewed conference proceedings.

Contenu

Open Loop Control of Higher Order Systems.- Bilinear Differential Forms and the Loewner Framework for Rational Interpolation.- Noninteraction and Triangular Decoupling Using Geometric Control Theory and Transfer Matrices.- Simultaneous Stabilization Problem in a Behavioral Framework.- New Properties of ARE Solutions for Strictly Dissipative and Lossless Systems.- Stochastic Almost Output Synchronization for Time-Varying Networks of Non-Identical and Non-Introspective Agents Under External Stochastic Disturbances and Disturbances with Known Frequencies.- A Characterization of Solutions of the ARE and ARI.- Implementation of Behavioral Syst…