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).
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
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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