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
Hamiltonian Systems
Spectral Factorization


Van Berkel, M., Vandersteen, G., Zwart, H. J., Hogeweij, G. M. D., Citrin, J., Westerhof, E., ... De Baar, M. R. (2018). Separation of transport in slow and fast time-scales using modulated heat pulse experiments (hysteresis in flux explained). Nuclear Fusion, 58(10), [106042]. DOI: 10.1088/1741-4326/aadc17
Kontaras, N., Heertjes, M., Zwart, H., & Steinbuch, M. (2018). Resonant-Dynamics LTV Feedforward for Flexible Motion Systems. In 2018 Annual American Control Conference (ACC) 2018: Milwaukee, WI, USA, 27-29 June 2018 (Vol. 2018-June, pp. 6012-6017). [8431589] (Proceedings of the 2018 American Control Conference). Institute of Electrical and Electronics Engineers. DOI: 10.23919/ACC.2018.8431589
Van Berkel, M., De Cock, A., Ravensbergen, T., Hogeweij, G. M. D., Zwart, H. J., & Vandersteen, G. (2018). A systematic approach to optimize excitations for perturbative transport experiments. Physics of plasmas, 25(8), [082510]. DOI: 10.1063/1.5010325
Van Berkel, M., Kobayashi, T., Vandersteen, G., Zwart, H. J., Igami, H., Kubo, S., ... De Baar, M. R. (2018). Heat flux reconstruction and effective diffusion estimation from perturbative experiments using advanced filtering and confidence analysis. Nuclear Fusion, 58(9), [096036]. DOI: 10.1088/1741-4326/aad13e
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. DOI: 10.1109/CDC.2017.8263736
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