prof.dr. H.J. Zwart (Hans)

Professor in Physical Systems and Control/Chair Hybrid Systems

About Me

Hans Zwart is Professor in Physical Systems and Control, and head of the Chair Hybrid Systems 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).


Infinite-Dimensional Systems
Linear Systems
Partial Differential Equations
Spectral Factorization


Ramirez, H., Zwart, H., Le Gorrec, Y., & Macchelli, A. (2018). On backstepping boundary control for a class of linear port-Hamiltonian systems. In 2017 IEEE 56th Annual Conference on Decision and Control: CDC 2017 (pp. 658-663). Institute of Electrical and Electronics Engineers Inc.. DOI: 10.1109/CDC.2017.8263736
Veldman, D. W. M., Fey, R. H. B., Zwart, H. J., van de Wal, M. M. J., van den Boom, J. D. B. J., & Nijmeijer, H. (2018). Semi-analytic approximation of the temperature field resulting from moving heat loads. International journal of heat and mass transfer, 122, 128-137. DOI: 10.1016/j.ijheatmasstransfer.2018.01.085
van Berkel, M., Kobayashi, T., Igami, H., Vandersteen, G., Hogeweij, G. M. D., Tanaka, K., ... de Baar, M. R. (2017). New evidence and impact of electron transport non-linearities based on new perturbative inter-modulation analysis. Nuclear Fusion, 57(12), [126036]. DOI: 10.1088/1741-4326/aa827a
C. Smith, R., & Zwart, H. (2017). CPDE special section. Annual reviews in control, 44, 183-183. DOI: 10.1016/j.arcontrol.2017.09.007
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

UT Research Information System

Google Scholar Link


Although I am working on many projects, I will only mention a few of my general research projects.

Current 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

Contact Details

Visiting Address

University of Twente
Faculty of Electrical Engineering, Mathematics & Computer Science
Zilverling (building no. 11), room 3062
Hallenweg 19
7522NH  Enschede
The Netherlands

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Mailing Address

University of Twente
Faculty of Electrical Engineering, Mathematics & Computer Science
Zilverling  3062
P.O. Box 217
7500 AE Enschede
The Netherlands