Useful Links

People involved in DPS

We are forming a list of people and teams involved in DPS (in order to facilitate communication among DPS researchers, purely for information and contact purposes; free submission, but moderated). Please send e-mail information to the Chair using the following format:

Full Name
Position, Organization
Website, Keywords.

Books On Control of Distributed Parameter Systems

This list contains some important references in the field of Control of Distributed Parameter Systems. It is not exhaustive and will be improved over the course of time (feel free to send additional references to the TC Chair).

H. Banks. Control and Estimation in Distributed Parameter Systems. Frontiers in Applied Mathematics. SIAM, 1992.
R. Curtain and H. J. Zwart. An introduction to infinite-dimensional linear systems theory. Texts in applied mathematics. New York, USA: Springer-Verlag, 1995, p. 698.
Z.-H. Luo, B.-Z. Guo, and O. Morgul. Stability and Stabilization of Infinite Dimensional Systems with Applications. Ed. by Springer. Communications and Control Engineering. 1999.
I. Lasiecka and R. Triggiani. Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems: Continuous and Approximation Theories, Cambridge University Press, 2000.
I. Lasiecka and R. Triggiani. Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems Over a Finite Time Horizon: Continuous and Approximation Theories (Vol.2). Cambridge University Press, 2000.
P. D. Christofides. Nonlinear and Robust Control of PDE Systems: Methods and Applications to Transport-Reaction Processes. Systems and Control: Foundations and Applications Control: Foundations and Applications. Birkhäuser Birkhäuser Mathematics, 2001.
M. D. Gunzburger. Perspectives in Flow Control and Optimization (Advances in Design and Control). Advances in Design and Control (Book 5). Society for Industrial and Applied Mathematics, 2002.
G. Leugering, O. Imanuvilov, B.-Y. Zhang, and R. Triggiani. Control Theory of Partial Differential Equations. Ed. by Taylor and Francis. Lecture Notes in Pure and Applied Mathematics. CRC Press,2005.
O. Staffans. Well-posed linear systems. Cambridge University Press, 2005.
R. Dáger and E. Zuazua. Wave propagation, observation and control in 1-d flexible multi-structures. Vol. 50. Mathématiques & Applications (Berlin) [Mathematics & Applications]. Springer-Verlag, Berlin, 2006.
M. Krstic and A. Smyshlyaev. Boundary Control of PDEs: A Course on Backstepping Designs. Ed. by SIAM. 2008. (additional material)
M. Tucsnak and G. Weiss. Observation and Control for Operator Semigroups. Birkhauser, 2009.
A. Smyshlyaev and M. Krstic. Adaptive Control of Parabolic PDEs. Ed. by P. U. Press. 2010.
A. Bensoussan, G. Da Prato, M. C. Delfour, and S. K. Mitter. Representation and Control of Infinite Dimensional Systems, Systems and Control: Foundations and Applications. Birkhäuser Boston, 2011.
B. Jacob and H. Zwart. Linear port-Hamiltonian systems on infinite-dimensional spaces. Ed. by B. Springer Basel AG. Vol. Operator Theory: Advances and Applications, 223. Linear Operators and Linear Systems. Birkhäuser, 2012.
T. Meurer. Control of Higher-Dimensional PDEs: Flatness and Backstepping Designs. Series: Communications and Control Engineering, Springer-Verlag, 2012.
K. Ammari and S. Nicaise. Stabilization of elastic systems by collocated feedback. Vol. 2124. Lecture Notes in Mathematics. Springer, Cham, 2015.
E. Aulisa and D. Gilliam. A Practical Guide to Geometric Regulation for Distributed Parameter Systems, Chapman & Hall/CRC Monographs and Research Notes in Mathematics, 2015.
Alexander Schaum. Dissipativity in Engineering: Applications to finite and infinite-dimensional systems, DeGruyter, ISBN: 9783110677935, 2021.

Electronic resources related to distributed parameter systems

TC members and interested people are welcome to send any overview papers or reports in their respective areas of expertise for electronic publication on this page.

Educational material

Online Courses

Download lecture notes & Matlab files

“Introduction to Functional Analysis” (a course with video lectures and lecture notes, given in 2021) given by Lassi Paunonen

Download lecture notes

Lecture materials and tutorials

“Mathematical Control Theory” (lecture notes for an in-person course on control of finite- and infinite-dimensional linear systems), teacher Lassi Paunonen

Download lecture notes

Research tools

Public-domain software

freeFEM++
RORPack (“Robust Output Regulation Package”) is an open source Matlab toolbox and Python library for robust output tracking and disturbance rejection control of linear (approximated) controlled PDE and ODE systems. The package includes functionality for automated controller construction, closed-loop simulation, and visualisation of results, as well as a number of example files on control of linear PDE systems (1D and 2D heat equations, wave equations, etc.).