Hans Zwart is Professor in Physical Systems and Control, and head of the Chair Mathematics of Systems Theory in the Department of Applied Mathematics at the University of Twente.
His research interests are in control and analysis of systems described by partial differential equation and/or time difference differential equations. The main focus is on the development and analysis of controllers for linear systems. Hereby using the mathematical techniques from functional analysis and Hamiltonian dynamics. Main area of applications is the controller design and analysis of flexible structures. On this topic he has a long lasting collaboration with research groups in Besançon, Lyon, Wuppertal, and Eindhoven. At Eindhoven University of Technology, department of Mechanical Engineering, he holds a one-day-per-week professorship. Prof. H. Zwart is the co-author of two standard text books in his field; An Introduction to Infinite-Dimensional Systems Theory, (with R. Curtain) and Linear Port-Hamiltonian Systems on Infinite-Dimensional Spaces (with B. Jacob). In 2020, an updated version of the first book has appeared.
Organisations
Ancillary activities
- TU/eDoing research and supervising students
Publications
2024
2023
2022
Other contributions
Since I like to construct counter examples. I list here some of the counter examples found.
- T+B is never invertible for suciently small B; pdf-file
- If A generates an exponentially stable contraction semigroup, and Q is dissipative, then A+Q need not to generate a exponentially stable semigroup; pdf-file
- A boundedly invertible and Q bounded, does not imply that AQ is densely defined; pdf-file
Research profiles
Affiliated study programs
Courses academic year 2024/2025
Courses in the current academic year are added at the moment they are finalised in the Osiris system. Therefore it is possible that the list is not yet complete for the whole academic year.
- 191508209 - Internship AM
- 191508309 - Final Project (combination)
- 191508409 - Final Project M-AM
- 191561620 - Optimal Control
- 193810010 - Biological Control Systems
- 201300196 - Clinical Specialization Internship
- 201500405 - Complex Function Theory
- 201900224 - Elective course (Elders UT)
- 202001350 - Analysis II
- 202200120 - Internship ROB
- 202200122 - MSc-Thesis Project
- 202300130 - Capita Selecta Applied Mathematics
- 202400318 - M12 BSc Assignment BMT
- 202400463 - Signal Analysis
- 202400669 - Capita Selecta Applied Mathematics 2
Courses academic year 2023/2024
- 191508209 - Internship AM
- 191508309 - Final Project (combination)
- 191508409 - Final Project M-AM
- 191561620 - Optimal Control
- 193810010 - Biological Control Systems
- 200900030 - Research of Math
- 201100179 - Graduation Project
- 201300196 - Clinical Specialization Internship
- 201400462 - Internship S&C
- 201500405 - Complex Function Theory
- 201900224 - Elective course (Elders UT)
- 202000880 - M12 BSc Assignment BMT
- 202001350 - Analysis II
- 202001586 - Elective course (Elders UT) 1
- 202001587 - Elective course (Elders UT) 2
- 202200120 - Internship ROB
- 202200122 - MSc-Thesis Project
- 202200269 - M2 Pathophysiology
- 202200398 - Internship AM-CS
- 202300130 - Capita Selecta Applied Mathematics
- 202300194 - M6 Transport Phen. & modelling of organs
- 202300342 - Internship ROB/I-TECH
- 202300349 - Internship ROB/I-TECH
- 202300361 - Combined Final Project AM - S&C
Although I am working on many projects, I will only mention a few of my general research projects.
Current projects
Solutions to ``Introduction to Infinite-Dimensional Systems Theory''
The two books written together with Ruth Curtain contain many exercises. While writing the second book, Ruth Curtain worked together with Orest Iftime on the solutions to a selected set of exercises from it. After her dead, I continued this project together with Orest.
Control of Distributed Parameter Systems
book project
Since control of systems described by partial differential equations increases in popularity among engineers Yann Le Gorrec and I are working on a book which should support engineers when entering this field. Hence the book should be much less mathematical than the book which I wrote with Ruth Curtain. Early versions of the book have been used for a master course at Eindhoven university of technology. The audience consisted of master students from mechanical and electrical engineering. Based on the experiences we are improving the manuscript.
Finished projects
Based on the book ``An Introduction to Infinite-Dimensional Linear Systems Theory'' some lectures were recorded. They may be found here: Lecture Infinite Dimensional Systems
The order of the videos are:
- 1 05 Introduction and Semigroups
- 1 01 Inputs and Outputs
- 1 03 Transfer Functions
- 1 04 Stability and Stabilizability
- 1 02 Port-Hamiltonian Systems
Address
University of Twente
Zilverling (building no. 11), room 3042
Hallenweg 19
7522 NH Enschede
Netherlands
University of Twente
Zilverling 3042
P.O. Box 217
7500 AE Enschede
Netherlands
Organisations
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