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). Recently, an updated version of the first book has appeared. 

Ancillary Activities

  • TU/e
    Deeltijd HL


Heidari, H. , & Zwart, H. (2022). Nonlocal longitudinal vibration in a nanorod: A system theoretic analysis. Mathematical modelling of natural phenomena, 17, [2022028]. https://doi.org/10.1051/mmnp/2022028
Veldman, D. W. M., Nouwens, S. A. N., Fey, R. H. B. , Zwart, H. J., van de Wal, M. M. J., van den Boom, J. D. B. J. , & Nijmeijer, H. (2022). Optimal thermal actuation for mirror temperature control. Computer methods in applied mechanics and engineering, 398, [115212]. https://doi.org/10.1016/j.cma.2022.115212
Jacob, B. , & Zwart, H. (2022). Observability for port-Hamiltonian systems. In 2021 European Control Conference, ECC 2021 (pp. 2052-2057). IEEE. https://doi.org/10.23919/ECC54610.2021.9654840
Jacob, B., Kaiser, J. T. , & Zwart, H. (2021). Riesz Bases Of Port-Hamiltonian Systems. SIAM journal on control and optimization, 59(6), 4646-4665. https://doi.org/10.1137/20M1366216
Bansal, H. , Zwart, H., Iapichino, L., Schilders, W., & Wouw, N. V. D. (2021). Port-Hamiltonian modelling of fluid dynamics models with variable cross-section. IFAC-papersonline, 54(9), 365-372. https://doi.org/10.1016/j.ifacol.2021.06.095
Veldman, D. W. M., Fey, R. H. B. , Zwart, H., van de Wal, M. M. J., van den Boom, J. D. B. J. , & Nijmeijer, H. (2021). The method of images in thermoelasticity with an application to wafer heating. Journal of Thermal Stresses, 44(8), 970-1010. https://doi.org/10.1080/01495739.2021.1936321
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


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 and 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 and Computer Science
Zilverling  3062
P.O. Box 217
7500 AE Enschede
The Netherlands