58 citations · 227 across the 30 of their papers we have counts for
32 papers
Analysis and controller-design of time-delay systems using TDS-CONTROL. A tutorial and manual
Pieter Appeltans, Wim Michiels
TDS-CONTROL is an integrated MATLAB package for the analysis and controller-design of linear time-invariant (LTI) dynamical systems with (multiple) discrete delays, supporting both…
A structure preserving shift-invert infinite Arnoldi algorithm for a class of delay eigenvalue problems with Hamiltonian symmetry
Pieter Appeltans, Wim Michiels
In this work we consider a class of delay eigenvalue problems that admit a spectrum similar to that of a Hamiltonian matrix, in the sense that the spectrum is symmetric with respec…
Subspace method for multiparameter-eigenvalue problems based on tensor-train representations
Koen Ruymbeek, Karl Meerbergen, Wim Michiels
In this paper we solve -parameter eigenvalue problems (EPs), with any natural number by representing the problem using Tensor-Trains (TT) and designing a method based on…
A scalable controller synthesis method for the robust control of networked systems
Pieter Appeltans, Wim Michiels
This manuscript discusses a scalable controller synthesis method for networked systems with a large number of identical subsystems based on the H-infinity control framework. The dy…
Analysis and Design of Strongly Stabilizing PID Controllers for Time-Delay Systems
Pieter Appeltans, Silviu-Iulian Niculescu, Wim Michiels
This paper presents the analysis of the stability properties of PID controllers for dynamical systems with multiple state delays, focusing on the mathematical characterization of t…
Tensor-Krylov method for computing eigenvalues of parameter-dependent matrices
Koen Ruymbeek, Karl Meerbergen, Wim Michiels
In this paper we extend the Residual Arnoldi method for calculating an extreme eigenvalue (e.g. largest real part, dominant,...) to the case where the matrices depend on parameters…
Tuning an H-Infinity Controller with a Given Order and a Structure for Interconnected Systems with Delays
Suat Gumussoy, Wim Michiels
An eigenvalue based framework is developed for the H-infinity norm analysis and its norm minimization of coupled systems with time-delays, which are naturally described by delay di…
Fixed-Order H-infinity Optimization of Time-Delay Systems
Suat Gumussoy, Wim Michiels
H-infinity controllers are frequently used in control theory due to their robust performance and stabilization. Classical H-infinity controller synthesis methods for finite dimensi…
Eigenvalue based algorithms and software for the design of fixed-order stabilizing controllers for interconnected systems with time-delays
Wim Michiels, Suat Gumussoy
An eigenvalue based framework is developed for the stability analysis and stabilization of coupled systems with time-delays, which are naturally described by delay differential alg…
Computation of Extremum Singular Values and the Strong H-infinity Norm of SISO Time-Delay Systems
Suat Gumussoy, Wim Michiels
We consider the computation of H-infinity norms for Single-Input-Single-Output (SISO) time-delay systems, which are described by delay differential algebraic equations. Unlike the…
Root Locus for SISO Dead-Time Systems: A Continuation Based Approach
Suat Gumussoy, Wim Michiels
We present a numerical method to plot the root locus of Single-Input-Single-Output (SISO) dead-time systems with respect to the controller gain or the system delay. We compute the…
Fixed-order H-infinity control for interconnected systems using delay differential algebraic equations
Suat Gumussoy, Wim Michiels
We analyze and design H-infinity controllers for general time-delay systems with time-delays in systems' state, inputs and outputs. We allow the designer to choose the order of the…
A Predictor-Corrector Type Algorithm for the Pseudospectral Abscissa Computation of Time-Delay Systems
Suat Gumussoy, Wim Michiels
The pseudospectrum of a linear time-invariant system is the set in the complex plane consisting of all the roots of the characteristic equation when the system matrices are subject…
Characterization and computation of H-infinity norms for time-delay systems
Wim Michiels, Suat Gumussoy
We consider the characterization and computation of H-infinity norms for a class of time-delay systems. It is well known that in the finite dimensional case the H-infinity norm of…
Fixed-order strong H-infinity control of interconnected systems with time-delays
Suat Gumussoy, Wim Michiels
We design fixed-order strong H-infinity controllers for general time-delay systems. The designer chooses the controller order and may introduce constant time-delays in the controll…
On the sensitivity of the H-infinity norm of systems described by delay differential algebraic equations
Suat Gumussoy, Wim Michiels
We consider delay differential algebraic equations (DDAEs) to model interconnected systems with time-delays. The DDAE framework does not require any elimination techniques and can…
Continuation Based Computation of Root-Locus for SISO Dead-Time Systems
Suat Gumussoy, Wim Michiels
We present a numerical method to plot the root-locus of Single-Input-Single-Output (SISO) dead-time systems on a given right half-plane up to a predefined controller gain. We compu…
Computing the Pseudospectral Abscissa of Time-Delay Systems
Suat Gumussoy, Wim Michiels
The pseudospectra of a linear time-invariant system are the sets in the complex plane consisting of all the roots of the characteristic equation when the system matrices are subjec…
Computing H-infinity Norms of Time-Delay Systems
Suat Gumussoy, Wim Michiels
In this paper we consider the computation of H-infinity norm of retarded time-delay systems with discrete pointwise state delays. It is well known that in the finite dimensional ca…
A pseudo-spectra based characterisation of the robust strong H-infinity norm of time-delay systems with real-valued and structured uncertainties
Pieter Appeltans, Wim Michiels
This paper examines the robust (strong) H-infinity norm of a linear time-invariant system with discrete delays. The considered system is subject to real-valued, structured, Frobeni…
Spectrum-based stability analysis and stabilization of a class of time-periodic time delay systems
Wim Michiels, Luca Fenzi
We develop an eigenvalue-based approach for the stability assessment and stabilization of linear systems with multiple delays and periodic coefficient matrices. Delays and period a…
Calculating the minimal/maximal eigenvalue of symmetric parametrized matrices using projection
Koen Ruymbeek, Karl Meerbergen, Wim Michiels
In applications of linear algebra including nuclear physics and structural dynamics, there is a need to deal with uncertainty in the matrices. We focus on matrices that depend on a…
Polynomial (chaos) approximation of maximum eigenvalue functions: efficiency and limitations
Luca Fenzi, Wim Michiels
This paper is concerned with polynomial approximations of the spectral abscissa function (the supremum of the real parts of the eigenvalues) of a parameterized eigenvalue problem,…
A Subspace Method for Large Scale Eigenvalue Optimization
Fatih Kangal, Karl Meerbergen, Emre Mengi +1
We consider the minimization or maximization of the th largest eigenvalue of an analytic and Hermitian matrix-valued function, and build on Mengi et al. (2014, SIAM J. Matrix An…