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Cited article:

On the relations between stability optimization of linear time-delay systems and multiple rightmost characteristic roots

Wim Michiels, Silviu-Iulian Niculescu, Islam Boussaada and Guilherme Mazanti
Mathematics of Control, Signals, and Systems 37 (1) 143 (2025)
https://doi.org/10.1007/s00498-024-00398-1

Stability optimization of time-delay systems with zero-location constraints applied to non-collocated vibration suppression

Adrian Saldanha, Wim Michiels, Matěj Kuře, Jaroslav Bušek and Tomáš Vyhlídal
Mechanical Systems and Signal Processing 208 110886 (2024)
https://doi.org/10.1016/j.ymssp.2023.110886

Delay-based stabilisation and strong stabilisation of LTI systems by nonsmooth constrained optimisation

S. Mert Özer and Altuğ İftar
International Journal of Control 96 (8) 2044 (2023)
https://doi.org/10.1080/00207179.2022.2080121

Robust optimization of stiff delayed systems: application to a fluid catalytic cracking unit

Jonas Otten-Weinschenker and Martin Mönnigmann
Optimization and Engineering 23 (4) 2025 (2022)
https://doi.org/10.1007/s11081-021-09654-8

Stabilisation of distributed time-delay systems: a smoothed spectral abscissa optimisation approach

Leopoldo Vite, Marco A. Gomez, Sabine Mondié and Wim Michiels
International Journal of Control 95 (11) 2911 (2022)
https://doi.org/10.1080/00207179.2021.1943759

Eigenvalue optimisation-based centralised and decentralised stabilisation of time-delay systems

S. Mert Özer and Altuğ İftar
International Journal of Control 95 (8) 2245 (2022)
https://doi.org/10.1080/00207179.2021.1906446

Decentralized time-delay controller design for systems described by delay differential-algebraic equations

H. Ersin Erol and Altuğ İftar
Transactions of the Institute of Measurement and Control 43 (14) 3129 (2021)
https://doi.org/10.1177/01423312211015961

Parametric continuation algorithm for time-delay systems and bifurcation caused by multiple characteristic roots

Zaihua Wang, Song Liang, Csenge A. Molnar, Tamas Insperger and Gabor Stepan
Nonlinear Dynamics 103 (4) 3241 (2021)
https://doi.org/10.1007/s11071-020-05799-w

Multiplicity-induced-dominancy for delay-differential equations of retarded type

Guilherme Mazanti, Islam Boussaada and Silviu-Iulian Niculescu
Journal of Differential Equations 286 84 (2021)
https://doi.org/10.1016/j.jde.2021.03.003

On qualitative properties of single-delay linear retarded differential equations: Characteristic roots of maximal multiplicity are necessarily dominant

Guilherme Mazanti, Islam Boussaada and Silviu-Iulian Niculescu
IFAC-PapersOnLine 53 (2) 4345 (2020)
https://doi.org/10.1016/j.ifacol.2020.12.2705

Spectral dominance of complex roots for single-delay linear equations

Guilherme Mazanti, Islam Boussaada, Silviu-Iulian Niculescu and Tomáš Vyhlídal
IFAC-PapersOnLine 53 (2) 4357 (2020)
https://doi.org/10.1016/j.ifacol.2020.12.062

Pole Placement for Time-Delayed Systems Using Galerkin Approximations

Shanti S. Kandala, Thomas K. Uchida and C. P. Vyasarayani
Journal of Dynamic Systems, Measurement, and Control 141 (5) (2019)
https://doi.org/10.1115/1.4042465

Design of delay-based output-feedback controllers optimizing a quadratic cost function via the delay Lyapunov matrix

Marco A. Gomez, Wim Michiels and Sabine Mondié
Automatica 107 146 (2019)
https://doi.org/10.1016/j.automatica.2019.05.045

Control design and experimental validation for flexible multi-body systems pre-compensated by inverse shapers

Dan Pilbauer, Wim Michiels, Jaroslav Bušek, David Osta and Tomáš Vyhlídal
Systems & Control Letters 113 93 (2018)
https://doi.org/10.1016/j.sysconle.2018.01.002

Non-smooth Optimization Based WADC Tuning in Large Delayed Cyber-Physical Power System by Interarea Mode Tracking and Gradient Sampling

Qianying Mou, Hua Ye and Yutian Liu
IEEE Transactions on Power Systems 1 (2018)
https://doi.org/10.1109/TPWRS.2018.2867739

A Suboptimal Shifting Based Zero-pole Placement Method for Systems with Delays

Libor Pekař and Radek Matušů
International Journal of Control, Automation and Systems 16 (2) 594 (2018)
https://doi.org/10.1007/s12555-017-0074-6

Further remarks on the effect of multiple spectral values on the dynamics of time-delay systems. Application to the control of a mechanical system

Islam Boussaada, Sami Tliba, Silviu-Iulian Niculescu, Hakki Ulaş Ünal and Tomáš Vyhlídal
Linear Algebra and its Applications 542 589 (2018)
https://doi.org/10.1016/j.laa.2017.11.022

Spectrum Analysis of LTI Continuous-Time Systems With Constant Delays: A Literature Overview of Some Recent Results

Libor Pekar and Qingbin Gao
IEEE Access 6 35457 (2018)
https://doi.org/10.1109/ACCESS.2018.2851453

Optimization of the H2 Norm for Time-Delay Systems, with Application to Control Design and Model Approximation

Marco A. Gomez, Alexey Egorov, Sabine Mondie and Wim Michiels
IEEE Transactions on Automatic Control 1 (2018)
https://doi.org/10.1109/TAC.2018.2836019

Robust stabilisation of linear time-delay systems with uncertainties in the system matrices and in the delay terms

F. Borgioli and W. Michiels
IFAC-PapersOnLine 51 (14) 312 (2018)
https://doi.org/10.1016/j.ifacol.2018.07.242

Robust output‐feedback control of 3D directional drilling systems

O.A. Villarreal Magaña, F.H.A. Monsieurs, E. Detournay and N. van de Wouw
International Journal of Robust and Nonlinear Control 28 (18) 5915 (2018)
https://doi.org/10.1002/rnc.4362

Direct stability-switching delays determination procedure with differential averaging

Libor Pekař and Roman Prokop
Transactions of the Institute of Measurement and Control 40 (7) 2217 (2018)
https://doi.org/10.1177/0142331217700244

Stabilization of Lossless Propagation Time-Delay Systems * *This work is supported by the Scientific and Technical Research Council of Turkey (TÜBİTAK) under grant number 115E379.

H. Ersin Erol and Altuğ İftar
IFAC-PapersOnLine 50 (1) 7096 (2017)
https://doi.org/10.1016/j.ifacol.2017.08.1358

On the Coalescence of Spectral Values and its Effect on the Stability of Time-delay Systems: Application to Active Vibration Control

Islam Boussaada, Silviu-Iulian Niculescu, Sami Tliba and Tomáš Vyhlídal
Procedia IUTAM 22 75 (2017)
https://doi.org/10.1016/j.piutam.2017.08.011

Gridding discretization-based multiple stability switching delay search algorithm: The movement of a human being on a controlled swaying bow

Libor Pekař, Radek Matušů, Roman Prokop and Yilun Shang
PLOS ONE 12 (6) e0178950 (2017)
https://doi.org/10.1371/journal.pone.0178950

An Explicit Formula for the Splitting of Multiple Eigenvalues for Nonlinear Eigenvalue Problems and Connections with the Linearization for the Delay Eigenvalue Problem

Wim Michiels, Islam Boussaada and Silviu-Iulian Niculescu
SIAM Journal on Matrix Analysis and Applications 38 (2) 599 (2017)
https://doi.org/10.1137/16M107774X

Simultaneous Decentralized Controller Design for Time-Delay Systems * *This work is supported by the Scientific and Technical Research Council of Turkey (TÜBİTAK) under grant number 115E379

S. Mert Özer and Altuğ İftar
IFAC-PapersOnLine 50 (1) 6495 (2017)
https://doi.org/10.1016/j.ifacol.2017.08.608

Cybernetics and Mathematics Applications in Intelligent Systems

Libor Pekař
Advances in Intelligent Systems and Computing, Cybernetics and Mathematics Applications in Intelligent Systems 574 20 (2017)
https://doi.org/10.1007/978-3-319-57264-2_3

Decentralized controller design by continuous pole placement for neutral time-delay systems

HE Erol and A İftar
Transactions of the Institute of Measurement and Control 39 (3) 297 (2017)
https://doi.org/10.1177/0142331216657870

Design of a Delay-based Controller for Fast Stabilization in a Network System with Input Delays via the Lambert W function 1

Adrián Ramírez and Rifat Sipahi
Procedia IUTAM 22 83 (2017)
https://doi.org/10.1016/j.piutam.2017.08.036

Input Shaper Optimization with a Constraint on the Spectrum Distribution * *Supported by the Czech Science Foundation under project No. 16-17398S. This work has been also supported by the Programme of Interuniversity Attraction Poles of the Belgian Federal Science Policy Office (IAP P6-DYSCO), by OPTEC, the Optimization in Engineering Center of the KU Leuven, and by the project UCoCoS, funded by the European Unions Horizon 2020 research and innovation programme under the Marie Skodowska-Curie Grant Agreement No 675080.

Vyacheslav Kungurtsev, Dan Pilbauer, Tomáš Vyhlídal, Martin Hromčík and Wim Michiels
IFAC-PapersOnLine 50 (1) 13324 (2017)
https://doi.org/10.1016/j.ifacol.2017.08.1893

Reduced modelling and fixed‐order control of delay systems applied to a heat exchanger

Wim Michiels, Gijs Hilhorst, Goele Pipeleers, Tomas Vyhlídal and Jan Swevers
IET Control Theory & Applications 11 (18) 3341 (2017)
https://doi.org/10.1049/iet-cta.2017.0453

Automation Control Theory Perspectives in Intelligent Systems

Libor Pekař and Pavel Navrátil
Advances in Intelligent Systems and Computing, Automation Control Theory Perspectives in Intelligent Systems 466 25 (2016)
https://doi.org/10.1007/978-3-319-33389-2_3

Controller Design for Neutral Time-Delay Systems by Nonsmooth Optimization**This work is supported in part by the Scientific and Technical Research Council of Turkey (TÜBİTAK) under grant number 115E379 and in part by the Scientific Research Projects Commission of Anadolu University under grant number 1603F119

S. Mert Özer and Altuğ İftar
IFAC-PapersOnLine 49 (10) 212 (2016)
https://doi.org/10.1016/j.ifacol.2016.07.531

Strong Stabilization of Lossless Propagation Time-Delay Systems by Continuous Pole Placement**This work is supported in part by the Scientific and Technical Research Council of Turkey (TUBITAK) under grant number 115E379 and in part by the Scientific Research Projects Commission of Anadolu University under grant number 1603F119

H. Ersin Erol and Altuğ İftar
IFAC-PapersOnLine 49 (10) 218 (2016)
https://doi.org/10.1016/j.ifacol.2016.07.532

Decentralized Controller Design for Time-Delay Systems by Optimization∗∗This work is supported by the Scientific and Technical Research Council of Turkey (TuUBi ITAK) under grant number 112E153.

S. Mert Özer and Altuğ İftar
IFAC-PapersOnLine 48 (12) 462 (2015)
https://doi.org/10.1016/j.ifacol.2015.09.422

Decentralized Controller Design by Continuous Pole Placement for Incommensurate-Time-Delay Systems∗∗This work is supported in part by the Scientific and Technical Research Council of Turkey (T UB? ITAK) under grant number 112E153 and in part by the Scientific Research Projects Commission of Anadolu University under grant number 1204F071.

H. Ersin Erol and Altuğ İftar
IFAC-PapersOnLine 48 (12) 257 (2015)
https://doi.org/10.1016/j.ifacol.2015.09.387

A quasi-Newton algorithm for nonconvex, nonsmooth optimization with global convergence guarantees

Frank E. Curtis and Xiaocun Que
Mathematical Programming Computation 7 (4) 399 (2015)
https://doi.org/10.1007/s12532-015-0086-2

Controller design for delay systems via eigenvalue assignment – on a new result in the distribution of quasi-polynomial roots

Honghai Wang, Jianchang Liu, Feisheng Yang and Yu Zhang
International Journal of Control 88 (12) 2457 (2015)
https://doi.org/10.1080/00207179.2015.1048290

Low-Complexity Controllers for Time-Delay Systems

Suat Gumussoy and Wim Michiels
Advances in Delays and Dynamics, Low-Complexity Controllers for Time-Delay Systems 2 95 (2014)
https://doi.org/10.1007/978-3-319-05576-3_7

Quasipolynomial Approach to Simultaneous Robust Control of Time‐Delay Systems

Nikolaj Semenič, Andrej Sarjaš, Amor Chowdhury, Rajko Svečko and Zhan Shu
Mathematical Problems in Engineering 2014 (1) (2014)
https://doi.org/10.1155/2014/930697

Modern Trends and Techniques in Computer Science

Libor Pekař and Pavel Navrátil
Advances in Intelligent Systems and Computing, Modern Trends and Techniques in Computer Science 285 17 (2014)
https://doi.org/10.1007/978-3-319-06740-7_2

Eigenvalue based analysis and controller synthesis for systems described by delay differential algebraic equations

Wim Michiels and Suat Gumussoy
IFAC Proceedings Volumes 45 (14) 144 (2012)
https://doi.org/10.3182/20120622-3-US-4021.00015

A Sequential Quadratic Programming Algorithm for Nonconvex, Nonsmooth Constrained Optimization

Frank E. Curtis and Michael L. Overton
SIAM Journal on Optimization 22 (2) 474 (2012)
https://doi.org/10.1137/090780201

Time Delay Systems: Methods, Applications and New Trends

Wim Michiels
Lecture Notes in Control and Information Sciences, Time Delay Systems: Methods, Applications and New Trends 423 201 (2012)
https://doi.org/10.1007/978-3-642-25221-1_15

Using spectral discretisation for the optimalℋ2design of time-delay systems

Joris Vanbiervliet, Wim Michiels and Elias Jarlebring
International Journal of Control 84 (2) 228 (2011)
https://doi.org/10.1080/00207179.2010.547222

Spectrum-based stability analysis and stabilisation of systems described by delay differential algebraic equations

W. Michiels
IET Control Theory & Applications 5 (16) 1829 (2011)
https://doi.org/10.1049/iet-cta.2010.0752

Recent Advances in Optimization and its Applications in Engineering

Suat Gumussoy and Wim Michiels
Recent Advances in Optimization and its Applications in Engineering 103 (2010)
https://doi.org/10.1007/978-3-642-12598-0_10

Stabilizability via Time-Delayed Feedback: An Eigenvalue Optimization Approach

Henri Huijberts, Wim Michiels and Henk Nijmeijer
SIAM Journal on Applied Dynamical Systems 8 (1) 1 (2009)
https://doi.org/10.1137/070708767

The Smoothed Spectral Abscissa for Robust Stability Optimization

Joris Vanbiervliet, Bart Vandereycken, Wim Michiels, Stefan Vandewalle and Moritz Diehl
SIAM Journal on Optimization 20 (1) 156 (2009)
https://doi.org/10.1137/070704034