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 Foundation Flanders (FWO) (2011-2015)
"Fixed-order controller design for linear infinite-dimensional and parameter-varying systems, optimizing stability and H2 / H-infinity criteria"
Research Foundation Flanders (FWO) (2011-2015)
"Modeling and simulation of power electronic systems in the complementarity systems framework"
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 (phase 1: 2005-2010, phase 2: 2010-2017)
Project page
DBOF - PhD grants for international collaboration with countries
outside the EU (2010-2013)
Bilateral Project Research Foundation Flanders - Czech Academy of Sciences (2009) "Fixed-structure controller design for time-delay systems, with vibration control applications"
Bilateral Project Flanders-France Tournesol (2007-2008): "Distributed delay in dynamical systems: Analysis and Applications"
Service to the community
Associate Editor, Systems and Control Letters (2010- )
Research Associates
Jelle Peeters (5/2011 - )
Roel Van Beeumen (10/2011 - )
Gijs Hilhorst (09/2011 - )
Hakki Ulas Unal (01/2012 - )
Former members
Joris Vanbiervliet
Elias Jarlebring
Zhen Wu
Vincent Van Assche
Suat Gumussoy
Publications
PhD thesis
Wim Michiels Stability and stabilization of time-delay systems
Katholieke Universiteit Leuven, May 2002, 238+lxii pages
ISBN 90-5682-349-3 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 Publisher's page
M. Dieh, F. Glineur, E. Jarlebring and W. Michiels (Eds.) Recent advances in optimization and its applications in engineering
Springer Verlag, 2010. Publisher's page
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]
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), Vol.16, No.7/8, 2010, pp.1087-1111. [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, 2010, Vol.31, No.4, 2010, 2093-2115 [PDF]
W. Michiels, T. Vyhlidal and P. Zitek Control design for time-delay systems based on quasi-direct pole placement
Journal of Process Control. Vol.20, No.3, 2010, pp.337-343 [PDF]
E. Jarlebring and W. Michiels Invariance properties in the root sensitivity of time-delay systems with double imaginary roots
Automatica. Vol.46, No.6, 2010, pp.1112-1115 [PDF]
S. Gumussoy and W. Michiels A predictor-corrector approach for computing the pseudospectral abscissa of time-delay systems
Automatica. Vol.46, No.4 ,2010, pp.657-664 (regular paper) [PDF]
E. Jarlebring, J. Vanbiervliet and W. Michiels Characterizing and computing the L2 norm of time-delay systems by solving the delay Lyapunov equation
IEEE Transactions on Automatic Control. Vol.56, No.4, pp.814-825, 2011 (regular paper). [PDF]
T.Vyhlidal,W.Michiels,P.McGahan Synthesis of a strongly stable state-derivatie controller for a time delay system using constrained nonsmooth optimization
IMA Journal of Mathematical Control and Information, Vol.27, No.4, pp.437-455, 2010. (special issue on time-delay systems). Abstract
E. Jarlebring, S. Kvaal and W. Michiels Computing all pairs (lambda,mu) such that lambda is a double eigenvalue of A+B mu.
SIAM Journal on Matrix Analysis and Applications, 2011, accepted. 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 A Krylov method for the delay eigenvalue problem
SIAM Journal on Scientific Computing. Vol.32, No.6, 2010, pp.3278-3300. [PDF]
R. Sipahi, S.-I. Niculescu, C.T. Abdallah, W. Michiels and K. Gu Stability and stabilization of systems with time delay. Limitations and opportunities.
Control Systems Magazine, Vol.31, No.1, pp.38-65, 2011. Abstract
J. Vanbiervliet, W. Michiels and E. Jarlebring Using spectral discretization for the optimal H-2 design of time-delay systems
International Journal of Control, Vol.84, No.2, 228-241, 2011. Abstract
W. Michiels, E. Jarlebring and K. Meerbergen Krylov based model order reduction of time-delay systems
SIAM Journal on Matrix Analysis and Applications, 2011, accepted. Abstract
E. Jarlebring and W. Michiels Analyzing the convergence factor of residual inverse iteration
BIT Numerical Mathematics, 2011, accepted. Abstract
S. Kvaal, E. Jarlebring and W. Michiels Computation of singularities and radius of convergence of perturbation series
Physical Review A, Vol. 83, 032505, 2011. Abstract
E. Jarlebring, W. Michiels and K. Meerbergen A linear eigenvalue algorithm for the nonlinear eigenvalue problem
Numerische Mathmatic, 2012, accepted. Abstract
S. Gumussoy and W. Michiels Fixed-order H-infinity control for interconnected systems using delay differential algebraic equations
SIAM Journal on Control and Optimization, 2011, accepted. Abstract
W. Michiels Spectrum based stability analysis and stabilization of systems described by delay differential algebraic equations
IET - Control Theory and Applications, 2011, accepted. Abstract
Q. Tran Dinh, S. Gumussoy, W. Michiels and M. Diehl Combining convex-concave decompositions and linearization approaches for solving BMIs, with application to static output feedback
IEEE Transactions on Automatic Control, 2011, accepted (regular paper). Abstract
S. Gumussoy and W. Michiels Root-Locus for SISO
dead-time Systems: A continuation based approach
Automatica, 2011, accepted (regular paper) Abstract
Z. Wu and W. Michiels Reliably computing all characteristic roots of delay differential equations in a given right half plane using a spectral method Journal of Computational and Applied Mathematics, 2011, accepted. Abstract
E. Steur, W. Michiels, H. Huijberts and H. Nijmeijer Networks of diffusively time-delay coupled systems: Synchronization and its relation to the network topology Physica D, in review. Abstract
E. Jarlebring, T. Damm and W. Michiels Model reduction of time-delay systems using position balancing and delay Lyapunov equations Mathematics of Control, Signals, and Systems, submitted. Abstract
E. Jarlebring, K. Meerbergen and W. Michiels Computing a partial Schur factorization of nonlinear eigenvalue problems using the infinite Arnoldi method SIAM Journal of Matrix Analysis and Applications, submitted. Abstract
R. Van Beeumen, K. Meerbergen and W. Michiels A rational Krylov method based on Hermite interpolation for nonlinear eigenvalue problems Submitted. Abstract
W. Michiels and N. Guglielmi An iterative method for computing the pseudospectral abscissa for a class of nonlinear eigenvalue problems SIAM Journal of Scientific Computing, 2012, accepted. 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
S. Gumussoy, W.Michiels Fixed-order H-infinity optimization of time-delay systems
In Diehl et al (eds) Recent Advances in Optimization and Its Applications in Engineering. Springer Verlag. Accepted. Abstract
W.Michiels Design of fixed-order stabilizing and H2-H-infinity optimal controllers: An eigenvalue optimization approach.
In R.Sipahi,T.Vyhlidal,P.Pepe,S.-I.Niculescu, Eds. 'Time Delay Systems - Methods, Applications and New Trends', 2011. To appear.
Abstract
E.Jarlebring,W.Michiels,K.Meerbergen The infinite Arnoldi method and an application to time-delay systems with distributed delay
In R.Sipahi,T.Vyhlidal,P.Pepe,S.-I.Niculescu,Eds. 'Time Delay Systems - Methods, Applications and New Trends', 2011. To appear.
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 systèmes linéaires à retards
Actes de la Conférence 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 (in minisymposium).
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. Accepted (in minisymposium).
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. Accepted (in minisymposium).
E.Jarlebring,J.Vanbiervliet,W.Michiels Explicit expressions for the H2 norm of time-delay systems based on the delay Lyapunov equation
Proceedings of the 49th IEEE Conference on Decision and Control, 2010. Accepted.
S.Gumussoy,W.Michiels On the sensitivity of the H-infinity norm of
interconnected systems with time-delays.
Proceedings of the 18th IFAC World Congress, 2011, accepted (in minisymposium).
S.Gumussoy,W.Michiels Fixed-order H-infinity control of interconnected systems with time-delays.
Proceedings of the 18th IFAC World Congress, 2011, accepted (in minisymposium).
W.Michiels,E.Jarlebring,K.Meerbergen A projection approach for model reduction of large-scale time-delay systems
Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011. Accepted.
W.Michiels,E.I.Verriest A systems theoretic framework of fast varying and state dependent delays.
Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011. Accepted.
Q.Tran Dinh,W.Michiels,M.Diehl An inner convex approximation algorithm for BMI optimization and applications in control.
Proceedings of the 51th IEEE Conference on Decision and Control, 2012. Submitted.
S.Gumussoy, W.Michiels Eigenvalue based analysis and control synthesis for systems described by delay differential algebraic equations
Submitted.
I.Boussada,W.Michiels,S.-I.Niculescu Spectral analysis for delay differential-algebraic systems Submitted.
J.Tant,W.Michiels,J.Driesen Event-driven simulation of power electronic systems in the complementarity systems framework
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 Stabilization 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
Stability and Control of Time-Delay Systems
SOCN Graduate School of Systems, Control, Optimization, and Networks
Leuven, Belgium, November-December 2011 Course material