Zilverling

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

Professor in Physical Systems and Control/Chair Mathematics of Systems Theory
EEMCS-AM-MAST
Zilverling 3042
h.j.zwart@utwente.nl
+31534893464
Business card

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

Jump to: 2026 | 2025

2026

Energy-stable port-Hamiltonian systems (2026)Applied mathematics letters, 173. Article 109784. Buchfink, P., Glas, S. & Zwart, H.https://doi.org/10.1016/j.aml.2025.109784

2025

C-spectral sets and related estimates (2025)[Thesis › PhD Thesis - Research UT, graduation UT]. University of Twente. de Vries, J.https://doi.org/10.3990/1.9789036569620Riccati equations and LQ-optimal control for a class of hyperbolic PDEs (2025)Systems and control letters, 205. Article 106244. Hastir, A., Jacob, B. & Zwart, H.https://doi.org/10.1016/j.sysconle.2025.106244Dirac structure for linear dynamical systems on Sobolev spaces (2025)Journal of mathematical analysis and applications, 549(2). Article 129493. Kumar, N., Zwart, H. J. & van der Vegt, J. J. W.https://doi.org/10.1016/j.jmaa.2025.129493H∞-control for a class of boundary controlled hyperbolic PDEs (2025)IMA journal of mathematical control and information, 42(3). Article dnaf023. Hastir, A., Jacob, B. & Zwart, H.https://doi.org/10.1093/imamci/dnaf023On BIBO stability of infinite-dimensional systems (2025)[Thesis › PhD Thesis - Research UT, graduation UT]. University of Twente. Wierzba, A. A.https://doi.org/10.3990/1.9789036565998Energy-stable Port-Hamiltonian Systems (2025)[Working paper › Preprint]. ArXiv.org. Buchfink, P., Glas, S. & Zwart, H.https://doi.org/10.48550/arXiv.2506.06471Linear-Quadratic Optimal Control for Boundary Controlled Networks of Waves (2025)SIAM journal on control and optimization, 63(3), 1878-1901. Hastir, A., Jacob, B. & Zwart, H.https://doi.org/10.1137/24M1640768Discontinuous Galerkin Finite Element Methods for Linear Port-Hamiltonian Dynamical Systems (2025)Journal of scientific computing, 104(1). Article 8 (E-pub ahead of print/First online). Cheng, X., van der Vegt, J. J. W., Xu, Y. & Zwart, H. J.https://doi.org/10.1007/s10915-025-02926-wRiccati equations and LQ-optimal control for a class of hyperbolic PDEs (2025)[Working paper › Preprint]. ArXiv.org. Hastir, A., Jacob, B. & Zwart, H.https://doi.org/10.48550/arXiv.2503.11602Optimal Co-Design of Sensor Placement and State Observer for Lithography Applications (2025)In 2025 IEEE Conference on Control Technology and Applications, CCTA 2025 (pp. 321-326) (2025 IEEE Conference on Control Technology and Applications, CCTA 2025). IEEE. Goetz, R. P. P. F., Van De Wouw, N., Oomen, T., Van De Wal, M. M. J., Sharif, B. & Zwart, H. J.https://doi.org/10.1109/CCTA53793.2025.11151477Port-Hamiltonian discontinuous Galerkin finite element methods (2025)IMA Journal of Numerical Analysis, 45(1), 354–403. Kumar, N., van der Vegt, J. J. W. & Zwart, H. J.https://doi.org/10.1093/imanum/drae008

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 2025/2026

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.

Courses academic year 2024/2025

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

Book on Infinite-dimensional systems

Since the book with Ruth Curtain is more that 20 years old, we decided to update it. We worked on it for a couple of years and after the death of Ruth in March 2018, I continued with this project. I hope to finish it in 2019.

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
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