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


Bansal, H., Schulze, P., Abbasi, M. H. , Zwart, H., Iapichino, L., Schilders, W. H. A., & van de Wouw, N. (2021). Port-Hamiltonian formulation of two-phase flow models. Systems and control letters, 149, [104881]. https://doi.org/10.1016/j.sysconle.2021.104881
Macchelli, A., Gorrec, Y. L., Ramírez, H. , Zwart, H. , & Califano, F. (2021). Control Design for Linear Port-Hamiltonian Boundary Control Systems: An Overview. In G. Sklyar, & A. Zuyev (Eds.), Stabilization of Distributed Parameter Systems: Design Methods and Applications (pp. 57-72). (SEMA SIMAI Springer Series; Vol. 2). Springer. https://doi.org/10.1007/978-3-030-61742-4_4
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). Optimal Thermal Actuation for Mitigation of Heat-Induced Wafer Deformation. IEEE Transactions on Control Systems Technology, 29(2), 514-529. [8913681]. https://doi.org/10.1109/TCST.2019.2948592
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
Sharifi, F. , Zwart, H., Heertjes, M., & Kontaras, N. (2020). Linear-time-varying feedforward control for position-dependent flexible structures. In European Control Conference 2020, ECC 2020 (pp. 1409-1414). [9143846] IEEE. https://doi.org/10.23919/ECC51009.2020.9143846
Curtain, R. F. , & Zwart, H. (2020). Introduction to Infinite-Dimensional Systems Theory: A State-Space Approach. (Texts in Applied Mathematics book series; Vol. 71). Springer. https://doi.org/10.1007/978-1-0716-0590-5
Van Berkel, M., Oosterwegel, G. W., Anthonissen, M. , Zwart, H. J., & Vandersteen, G. (2020). A novel frequency domain maximum likelihood approach for estimating transport coefficients in cylindrical geometry for nuclear fusion devices. In 2019 IEEE 58th Conference on Decision and Control, CDC 2019 (pp. 3220-3226). [9029992] (Proceedings of the IEEE Conference on Decision and Control; Vol. 2019-December). IEEE. https://doi.org/10.1109/CDC40024.2019.9029992
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. (2020). Sensor and Actuator Placement for Proportional Feedback Control in Advection-Diffusion Equations. IEEE Control Systems Letters, 4(1), 193-198. [8733126]. https://doi.org/10.1109/LCSYS.2019.2921623
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