Homepage of Wim Michiels

Who am I

I am professor at the K.U. Leuven and member of the Scientific Computing Research Group of the Department of Computer Science.

Contact Information

Wim Michiels (prof. dr. ir.) Department of Computer Science K.U. Leuven Celestijnenlaan 200A 3001 Heverlee Belgium Send me an e-mail Phone: +32 16 327064 Fax: +32 16 327996 Office: A02-22

News

Ben je geinteresseerd om na je Master studies een doctoraaat te maken rond toegepaste wiskunde of systemen en controle? Contacteer me dan.
Positions available
If you are interested to work in my team as PhD student / postdoc send me your cv and a motivation.
The Centre of Excellence OPTEC has been extended for 7 years.
Plenary at the International Conference on Computational and Applied Mathematics (ICCAM 2010)
14th Belgian - French - German Conference on Optimization (BFG'09)
September 14-18, 2009, K.U.Leuven, Belgium
Conference website Instructions edited volume.
Plenary at the 9th IFAC Workshop on Time-Delay Systems
Plenary at the 2nd IFAC Conference on Analysis and Control of Chaotic Systems
Invited speaker at the Workshop on Delay Differential Equations. From Theory to Applications
Inaugural Lecture

Research

Research interests:

Dynamical systems
- Bifurcation analysis
(Numerical) linear algebra
Scientific computing
Control: theory, applications, and numerical tools.
In particular, control of infinite dimensional systems
- Partial differential equations
- Functional differential equations (delay/neutral)
Emphasis lies on stability/stabilization issues, robust and
H-infinity control, of single agent and multi-agent systems
Optimization: algorithms, and control applications

Projects:

Research Council K.U.Leuven - KUL/BOF ST1 (2009-2013) "Control and optimization of large-scale systems and networks with delays"
BELSPO IPA VI/4, DYSCO: Dynamical Systems, Control and Optimization (2007-2011)
Project page
OPTEC - K.U.Leuven Center of Excellence on Optimization in Engineering (2005-2010)
Project page
Extended till 2017.
Bilateral Project Research Foundation Flanders - Czech Academy of Sciences (2009) "Fixed-structure controller design for time-delay systems, with vibration control applications" (W. Michiels (Flanders) and T.Vyhlidal, V. Kucera (Czech Republic))
Bilateral Project Flanders-France Tournesol T2006.03: "Distributed delay in dynamical systems: Analysis and Applications" (W. Michiels (Flanders) and S-I. Niculescu (France))
Extented until January 2008.

Research Associates

PhD students

Joris Vanbiervliet
(10/2005 - )
Subject: optimization methods for large scale control problems
Zhen Wu
(10/2009 - )

Postdocs

Elias Jarlebring
(12/2008 - )
Suat Gumussoy
(12/2008 - )

Publications

PhD thesis

Stability and stabilization of time-delay systems

Thesis page

Books

Wim Michiels and Silviu-Iulian Niculescu
Stability and stabilization of time-delay systems. An eigenvalue based approach
Advances in Design and Control 12
SIAM Publications, Philadelphia, 2007, xxii+378 pages
ISBN 978-0-898716-32-0
Publisher's page

Edited books

W. Michiels and D. Roose (Eds.)
Time-Delay Systems 2004
IFAC Proceedings Volumes
Elsevier Ltd, Oxford, UK, 2005, 278 pages
ISBN 008-044583-7
J.J. Loiseau, W. Michiels, S.-I. Niculescu and R. Sipahi (Eds.)
Topics in Delay Systems. Analysis, Algorithms, and Control
Lecture Notes in Control and Information Sciences, Vol. 388, Springer Verlag, 2009.
ISBN 978-3-642-02896-0

Journal Papers

T.Van Craenenbroeck,W.Michiels,D.Van Dommelen,K.Lust
Bifurcation analysis of three-phase ferroresonant oscillations in ungrounded power systems
IEEE Transactions on Power Delivery, Vol.14, No.2, 1999, pp.531-536.
[PDF]
W.Michiels,D.Roose
Sensitivity to perturbations in variable structure systems
Journal of Computational and Applied Mathematics, Vol.132, 2002, pp.127-140.
[PS]
W.Michiels,K.Engelborghs,D.Roose,D.Dochain
Sensitivity to infinitesimal delays in neutral equations
SIAM Journal on Control and Optimization, Vol.40, No.4, 2002, pp.1134 - 1158.
[PS]
W.Michiels,R.Sepulchre,D.Roose
Stability of perturbed delay differential equations and stabilization of nonlinear cascade systems
SIAM Journal on Control and Optimization, Vol.40, No.3, 2002, pp.661-680.
[PS]
W.Michiels,K.Engelborghs,P.Vansevenant,D.Roose
Continuous pole placement method for delay equations
Automatica, Vol.38, No.5, 2002, pp.747-761.
[PDF]
L.Moreau,W.Michiels,D.Aeyels,D.Roose
Robustness of nonlinear delay equations w.r.t. input perturbations, a trajectory based approach
Mathematics of Control, Signals, and Systems (MCSS), Vol.15, No.4, 2002, pp.316-335.
[PS]
W.Michiels,D.Roose
Limitations of delayed state feedback: a numerical study
International Journal of Bifurcation and Chaos, Vol.12, No.6, 2002, pp.1309-1320.
[PS]
W.Michiels,S.-I.Niculescu
On the delay sensitivity of Smith Predictors
International Journal of Systems Science, Vol.34, No.8-9, 2003, pp.543-552 (invited paper)
[PS]
W.Michiels,D.Roose
An eigenvalue based approach for the robust stabilization of linear time-delay systems
International Journal of Control, Vol.76, No.7, 2003, pp.678-686.
[PS]
S.-I.Niculescu, W.Michiels
Stabilizing a chain of integrators using multiple delays
IEEE Transactions on Automatic Control, Vol.49, No.5, 2004, pp.802-807.
[PDF]
S.Mondie,W.Michiels
Finte spectrum assignment of unstable time-delay systems with a safe implementation.
IEEE Transactions on Automatic Control, Vol.48, No.12, 2003, pp.2207-2212.
[PDF]
V.Kharitonov,S.-I.Niculescu,J.Moreno,W.Michiels
Static output feedback stabilization: necessary conditions for multiple delay controllers
IEEE Transactions on Automatic Control, Vol.50 No.1, 2005, pp.82-86.
[PS]
W.Michiels,S.-I.Niculescu,L.Moreau
Using delays and time-varying gains to improve the output feedback stabilizability of linear systems: a comparison
IMA Journal of Mathematical Control and Information, Vol.21, No.4, 2004, pp.393-418.
[PS]
W.Michiels,V.Van Assche,S.-I.Niculescu.
Stabilization of time-delay systems with a controlled, time-varying delay and applications
IEEE Transactions on Automatic Control, Vol.50, No.4, 2005, pp.493-504.
[PDF]
W.Michiels,T.Vyhlidal
An eigenvalue based approach to the stabilization of time-delay systems of neutral type.
Automatica, Vol.41, No.6, 2005, pp.991-998.
[PDF]
W.Michiels,S.-I. Niculescu
Stability analysis of a fluid flow model for TCP like behavior.
International Journal of Bifurcation and Chaos, Vol.15, No.7, 2005, pp.2277-2282.
[PS]
W.Michiels,K.Green,T.Wagenknecht,S.-I.Niculescu
Pseudospectra and stability radii for analytic matrix functions with application to time-delay systems
Linear Algebra and its Applications, Vol.418, No.1, 2006, pp.315-335.
[PS]
W.Michiels,D.Melchor-Aguillar,S.-I.Niculescu
Stability analysis of some classes of TCP/AQM networks
International Journal of Control, Vol.79, No.9, 2006, pp.1134-1144.
[PDF]
E.I.Verriest and W.Michiels
Inverse Routh table construction and stability of delay differential equations
Systems and Control Letters, Vol.55, No.9, 2006, pp.711-718.
[PS]
W. Michiels and S.-I. Niculescu
Characterization of delay-independent stability and the delay interference phenomen
SIAM Journal on Control and Optimization, Vol.45, No.6, 2007, pp.2138-2155.
[PDF]
T. Wagenknecht, K.Green, S.Adhikari,W.Michiels
Structured pseudospectra and random eigenvalue problems in vibrating systems
Journal of the American Institute of Aeronautics and Astronautics, Vol.44, No.10, 2006, pp.2404-2414.
[PS]
T.Wagenknecht,W.Michiels,K.Green
Structured pseudospectra for matrix nonlinear matrix functions
Journal of Computational and Applied Mathematics, Vol.212 , No.2, 2008, pp.245-259.
[PDF]
J. Vanbiervliet, K.Verheyden,W. Michiels,S.Vandewalle
A nonsmooth optimization approach for the stabilization of time-delay systems
ESAIM Control, Optimisation and Calcalus of Variations, Vol.14, No.3, 2008, pp.478-493.
[PDF]
W. Michiels
Stability analysis of oscillatory systems subject to large delays: a synchronization point of view
Journal of Vibration and Control (invited paper). Accepted.
[PDF]
W. Michiels, C.I. Morarescu and S.-I. Niculescu
Consensus problems with distributed delays, with application to traffic flow models
SIAM Journal on Control and Optimization. Special Issue on Control and Optimization in Cooperative Networks, Vol.48, No.1, 2009, pp. 77-101.
[PDF]
W.Michiels,T.Vhylidal,H.Huijberts,H.Nijmeijer
Stabilizability and stability robustness of state derivative feedback controllers
SIAM Journal on Control and Optimization. Vol.47 , No.6, 2009, pp.3100-3117.
[PDF]
W.Michiels,T.Vhylidal,P.Zitek,H.Nijmeijer,D.Henrion
Strong stability of neutral equations with an arbitrary delay dependency structure
SIAM Journal on Control and Optimization. Vol.48 , No.2, 2009, pp.763-786.
[PDF]
T.Vyhlidal,W.Michiels,P.McGahan,P.Zitek
Stability impact of small delays in state derivative feedback applied to vibration suppression
Control Engineering Practice, Vol. 17, 2009, pp.382-393
[PDF]
J.Vanbiervliet,B.Vandereycken,W.Michiels,S.Vandewalle,M.Diehl
Smoothed spectral abscissa for robust stability optimization
SIAM Journal on Optimization, Vol. 20, No. 1, 2009, pp.156-171.
[PDF]
H.Huijberts,W.Michiels,H.Nijmeijer
Stabilisability via time-delayed feedback: an eigenvalue optimisation approach
SIAM Journal of Applied Dynamical Systems. Vol.8 , No.1, 2009, pp.1-20.
[PDF]
W.Michiels, E.Fridman, S.-I.Niculescu
Robustness assessment via stability radii in delay parameters
International Journal of Robust and Nonlinear Control. Vol.19, 2009, pp.1405-1426.
[PDF]
E.I. Verriest and W. Michiels
Stability analysis of linear systems with stochastically varying delays
Systems and Control Letter. Vol.58, No.10-11, 2009, pp.783-791
[PDF]
W. Michiels and H. Nijmeijer
Synchronization in networks of delay-coupled nonlinear oscillators: An approach based on the stability analysis of synchronized equilibria
Chaos, Vol.19, 033110, 2009.
[PDF]
W. Michiels and S. Gumussoy
Characterization and computation of H-infinity norms of time-delay systems
SIAM Journal on Matrix Analysis and Applications.
Abstract
W. Michiels, T. Vyhlidal and P. Zitek
Control design for time-delay systems based on quasi-direct pole placement
Journal of Process Control, 2009, accepted.
Abstract
E. Jarlebring and W. Michiels
Invariance properties in the root sensitivity of time-delay systems with double imaginary roots
Submitted.
Abstract
S. Gumussoy and W. Michiels
A predictor-corrector approach for computing the pseudospectral abscissa of time-delay systems
Automatica, 2009, accepted as regular paper.
Abstract
E. Jarlebring, J. Vanbiervliet and W. Michiels
Characterizing and computing the L2 norm of time-delay systems by solving the delay Lyapunov equation
Submitted.
Abstract
T.Vyhlidal,W.Michiels,P.McGahan
Synthesis of a strongly stable state-derivatie controller for a time delay system using constrained nonsmooth optimization
Submitted.
Abstract
E. Jarlebring, S. Kvaal and W. Michiels
Computing all pairs (lambda,mu) such that lambda is a double eigenvalue of A+B mu.
Submitted.
Abstract
W. Michiels and E.I. Verriest
A look at fast varying delays from a systems theory point of view
Submitted.
Abstract
E. Jarlebring, K. Meerbergen and W. Michiels
An Arnoldi like method for the delay eigenvalue problem
Submitted.
Abstract

Chapters in books

W.Michiels,S.Mondie,D.Roose and M.Dambrine
The effect of approximating distributed delay control laws on stability
In S.-I. Niculescu and K. Gu, Eds., 'Advances in Time-Delay Systems', LNCSE, vol. 38, Springer Verlag, 2004, pp. 207-225.
Abstract
D.Roose,T.Luzyanina,K.Engelborghs and W. Michiels
Software for stability and bifurcation analysis of delay differential equations and applications to stabilization
In S.-I. Niculescu and K. Gu, Eds., 'Advances in Time-Delay Systems', LNCSE, vol. 38, Springer Verlag, 2004, pp. 167-182.
Abstract
S.-I.Niculescu,W.Michiels,D.Melchor-Aguillar,T.Luzyanina,F.Mazenc,K.Gu and F.Chatte
Delay effects on the asymptotic stability of various fluid models in high performance networks
In S.Tarbouriech, C.T. Abdallah and J. Chiasson, Eds. 'Advances in Communication Control Networks', LNCIS, vol. 308, Springer Verlag, 2004, pp. 87-110.
Abstract
W. Michiels, K. Verheyden and S.-I. Niculescu
Mathematical and computational tools for the stability analysis of time-varying delay systems and applications
In J.J. Loiseau and J. Chiasson, Eds. 'Applications of Time-Delay Systems', LNCIS, vol. 352, Springer Verlag, 2007, pp. 199-216.
Abstract
S.-I.Niculescu,W.Michiels,K.Gu,C.T.Abdallah
Delay effects on output feedback control of dynamical systems.
in F.M. Atay, Ed. 'Complex Time-Delay Systems', Springer Verlag, 2009, pp. 261-284.
Abstract
S.-I.Niculescu,C.I.Morarescu,W.Michiels,K.Gu
Geometric Ideas in the Stability Analysis of Delay Models in Biosciences.
In I. Queinnec, S. Tarbouriech, G. Garcia and S.-I. Niculescu, Eds. 'Biology and Control Theory: Current Challenges', LNCIS, vol. 357, Springer Verslag, 2007, 217-259.
Abstract
E.I. Verriest, W. Michiels
On moment stability of linear systems with a stochastic delay variation
in J.J.Loiseau et al, Eds 'Topics in Time Delay Systems. Analysis, Algorithms and Control', LNCIS, vol.388, Springer Verlag, 2009, 3-14.
Abstract

Conference Papers

W.Michiels,R.Sepulchre,D.Roose
Robustness of nonlinear delay equations wrt. bounded input perturbations
Proceedings of the Fourteenth International Symposium of Mathematical Theory of Networks and Systems, 2000.
W.Michiels,K.Engelborghs,P.Vansevenant,D.Roose
Continous pole placement for delay equations
Proceedings of the 2nd Workshop on Linear Time-Delay Systems, 2000.
W.Michiels,D.Roose
Time-delay compensation in unstable plants using delayed state feedback
Proceedings of the 40th IEEE Conference on Decision and Control, 2001.
W.Michiels,D.Roose
Global stabilization of multiple integrators with time delay and input constraints
Proceedings of the 3th Workshop on Time-Delay Systems, 2001.
W.Michiels,P.Vansevenant,D.Roose
Une approche alternative pour la stabilisation robuste des syst�mes lin�aires � retards
Actes de la Conf�rence Internationale Francophone d'Automatique,2002 (in minisymposium, organised by M.Dambrine and O.Sename).
W.Michiels,R.Sepulchre,D.Roose,L.Moreau
A perturbation approach to the stabilization of nonlinear cascade systems with time-delay
Proceedings of the 41th IEEE Conference on Decision and Control, 2002 (invited session, organised by SIAM).
S.-I.Niculescu,W.Michiels
Some remarks on stabilizing a chain of integrators using multiple delays
Proceedings of the 2003 American Control Conference, 2003.
D.Roose,T.Luzyanina,K.Engelborghs,W.Michiels
Software for stability and bifurcation analysis of delay differential equations and applications to stabilization
Proceedings of the joint CNRS-NSF Workshop: Advances in control of time-delay systems, 2003 (invited lecture).
W.Michiels,S.Mondie,D.Roose
Necessary and sufficient conditions for a safe implementation of distributed delay control laws
Proceedings of the joint CNRS-NSF Workshop: Advances in control of time-delay systems, 2003 (invited lecture).
V.Kharitonov,S.-I.Niculescu,J.Moreno,W.Michiels
Some remarks on the static output feedback stabilization problem: necessary conditions for multiple delay controllers
Proceedings of the 2003 European Control Conference, 2003.
S. Mondie,W.Michiels
A safe implementation for finite spectrum assignment: robustness analysis
Proceedings of the 42nd IEEE Conference on Decision and Control, 2003.
W.Michiels,S.-I.Niculescu,L.Moreau
Improving the output feedback stabilizability of linear systems by using delays and time-varying gains: a comparison
Proceedings of the 4th IFAC Workshop on Time-Delay Systems, 2003.
E.I. Verriest,W.Michiels
Routh Hurwitz criterion and stability of neutral systems
Proceedings of the 42nd IEEE Conference on Decision and Control, 2003.
W.Michiels, S.I. Niculescu
Stability and bifurcation analysis of some fluid flow model of TCP behavior
Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems, 2004 (in minisymposium organized by G. Freiling).
W.Michiels, V.Van Assche, S.I.Niculescu
Time-delay systems with a controlled time-varying delay: stability analysis and applications
Proceeings of the 43rd IEEE Conference on Decision and Control, 2004.
T.Vyhlidal, W.Michiels
Continuous pole placement for neutral systems
Proceedings of the 5th IFAC Workshop on Time-Delay Systems, 2004.
V.Van Assche,A.Ganguli,W.Michiels
Practical stability analysis of systems with delay and periodic coefficients
Proceedings of the 5th IFAC Workshop on Time-Delay Systems, 2004.
S.-I.Niculescu, W.Michiels, D.Melchor-Aguillar,F.Mazenc,F.Chatte
Stability analysis in high performance networks: a time-domain approach
Proceedings of the 2004 IASTED Conference on Applied Simulation and Modelling, 2004.
W.Michiels,T.Plomteux,D.Roose
Robust stabilization of linear time delay systems via the optimization of real stability radii
Proceedings of the 2005 IFAC World Congress, 2005 (in mini-symposium organized by P.Zitek and T.Vyhlidal).
W.Michiels,V.Van Assche,S.-I.Niculescu,K.Verheyden.
Mathematical and computational tools for the stability analysis of time-varying delay systems and applications in mechanical engineering.
2nd CNRS-NSF Workshop 'Applications of Time-Delay Systems', 2004 (invited lecture).
W.Michiels,K.Green,T.Wagenknecht,S.-I.Niculescu
Pseudospectra of analytic matrix funtion and applications to time-delay systems
Proceedings of the joint IEEE Conference on Decision and Control / European Control Conference, 2005.
W.Michiels,S.-I. Niculescu
Delay-independent stability and delay interference phenomena
Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems, 2006.
J.Vanbiervliet,W.Michiels,S.Vandewalle
Stabilization of time-delay systems using nonsmooth optimization techniques.
International Journal of Tomography & Statistics. Volume 6, Nr. S07, 2007.
Special issue devoted to the proceedings of the 13th IFAC Workshop on Control Applications of Optimisation.
C.-I.Morarescu,S.-I. Niculescu,W. Michiels
Asymptotic stability of some distributed delay systems: An algebraic approach.
International Journal of Tomography & Statistics. Volume 6, Nr. S07, 2007.
Special issue devoted to the proceedings of the 13th IFAC Workshop on Control Applications of Optimisation.
W.Michiels,T.Wagenknecht,K. Green
Structured pseudospectra for matrix functions: theory and application
Proceedings of the 6th IFAC Workshop on Time-Delay Systems, 2006 (in mini-symposium organized by N.Olgac and T.Vyhlidal).
W.Michiels,C.I.Morarescu, S.-I.Niculescu
Consensus problems for car following models with distributed delays.
Proceedings of the 2007 European Control Conference, 2007.
T.Vhylidal,W.Michiels,P.McGahan,P.Zitek
Stability impact of the latency in the state derivative feedback
Proceedings of the 16th International Conference on Process Control, 2007.
W.Michiels,E.Fridman, S.-I.Niculescu
On stability radii in delay parameters.
Proceedings of the 7th IFAC Workshop on Time-Delay Systems, 2007.
W.Michiels
Mechanisms behind the stability properties of oscillatory systems with large delays.
Proceedings of the 46th IEEE Conference on Decision and Control, 2007. Accepted.
W. Michiels,T.Vyhlidal,H.Huijberts,H.Nijmeijer
Stabilizability by state derivative feedback: robustness aspect.
Proceedings of the 18th Symposium on Mathematical Theory for Networks and Systems, 2008. Accepted.
W. Michiels,T.Vyhlidal,H.Nijmeijer,D.Henrion
Strong stability of neutral equations with dependent delays
Proceedings of the 18th Symposium on Mathematical Theory for Networks and Systems, 2008. Accepted.
W.Michiels,H.Nijmeijer
Synchronization in networks of nonlinear oscillators with coupling delays
Proceedings of the 47th IEEE Conference on Decision and Control, 2008. Accepted.
H.Huijberts,W.Michiels,H.Nijmeijer
On the characterisation of stabilisability by means of time-delayed feedback control
Proceedings of the 47th IEEE Conference on Decision and Control, 2008. Accepted.
C.Mendez,W.Michiels,S-I.Niculescu
Further Remarks on Stabilizing Chains of Integrators by Using Network Delays
Proceedings of the 2009 European Control Conference, 2008. Accepted.
J.Vanbiervliet,W.Michiels,S.Vandewalle
Smooth stabilization and optimal H2 design
Proceedings of the 2009 IFAC Workshop on Control Applications of Optimization, 2009. Accepted.
T.Vyhlidal,W.Michiels,P.Zitek
Quasi-direct pole placement for time delay systems applied to a heat transfer set-up
Proceedings of the 8th IFAC Workshop on Time-Delay Systems, 2009. Accepted.
P.MacGahan,T.Vyhlidal,W.Michiels
Optimization based synthesis of state derivative feedback controllers for retarded systems
Proceedings of the 8th IFAC Workshop on Time-Delay Systems, 2009. Accepted.
S.Gumussoy,W.Michiels
Computing the pseudospectral abscissa of time-delay systems
Proceedings of the 8th IFAC Workshop on Time-Delay Systems, 2009. Accepted.
E.Jarlebring,W.Michiels
Invariance properties in the root sensitivity of time-delay systems with double imaginary roots
Proceedings of the 8th IFAC Workshop on Time-Delay Systems, 2009. Accepted.
S.Gumussoy,W.Michiels
Computing H-infininty norms of time-delay systems
Proceedings of the 48th IEEE Conference on Decision and Control, 2009. Accepted.
E.Jarlebring,K.Meerbergen,W.Michiels
An Arnoldi method with structured starting vectors for the delay eigenvalue problem
Proceedings of the 9th IFAC Workshop on Time Delay Systems, Prague, 2010, submitted.
S.Gumussoy,W.Michiels
Continuation Based Computation of Root-Locus for SISO Dead-Time Systems
Proceedings of the 9th IFAC Workshop on Time Delay Systems, Prague, 2010, submitted.

Others

W.Michiels,D.Roose
Superstable limit cycles in variable structure systems

Master's thesis

W.Michiels
Bifurcation analysis of 3-phase electrical distribution networks with ferroresonance, 1997

Teaching

Courses on PhD Level

Stability and Control of Time-Delay Systems
Paris Graduate School on Control
Paris, France, April 2006.
Stability and Control of Time-Delay Systems
Dutch Institute of Systems and Control
Utrecht, the Netherlands, November-December 2007
Course material

Courses @ K.U.Leuven

Technische Wiskunde / Engineering Mathematics
Course in the Master Program on Mathematical Engineering of the K.U.Leuven.
Modellering en Simulatie / Modelling and Simulation
Course in the Bachelor Program on Informatics of the K.U.Leuven.

Supervision of Master's theses

Patrick Vansevenant
Continue polenplaatsing voor systemen met tijdsvertragingen (1998-1999)
Thomas Plomteux
Stabiliteitsstralen voor systemen met tijdsvertragingen (2002-2003)

This page is maintained by Wim Michiels.
Last updated in January 2010.