Wim Michiels

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Stability and Stabilization of Systems with Time Delay

Rifat Sipahi, Silviu-Iulian Niculescu, Chaouki T. Abdallah, Wim Michiels, Keqin Gu
IEEE Control Systems
2011

Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation, or transport phenomena in shared environments, in heredity, and… (More)

Continuous pole placement for delay equations

Wim Michiels, Koen Engelborghs, P. Vansevenant, Dirk Roose
Automatica
2002

Combining Convex–Concave Decompositions and Linearization Approaches for Solving BMIs, With Application to Static Output Feedback

Dinh Quoc Tran, Suat Gumussoy, Wim Michiels, Moritz Diehl
IEEE Transactions on Automatic Control
2012

A novel optimization method is proposed to minimize a convex function subject to bilinear matrix inequality (BMI) constraints. The key idea is to decompose the bilinear mapping as a difference… (More)

Stability, Control, and Computation for Time-Delay Systems - An Eigenvalue-Based Approach (2. ed.)

Wim Michiels, Silviu-Iulian Niculescu
2014

Stabilizing a chain of integrators using multiple delays

Silviu-Iulian Niculescu, Wim Michiels
IEEE Transactions on Automatic Control
2004

This note addresses the output feedback stabilization problem of a chain of integrators using multiple delays. We shall prove that either n distinct delays or a proportional+delay compensator with… (More)

Stabilization of time-delay systems with a Controlled time-varying delay and applications

Wim Michiels, Vincent van Assche, Silviu-Iulian Niculescu
IEEE Transactions on Automatic Control
2005

We study the stability of a linear system with a point-wise, time-varying delay. We assume that the delay varies around a nominal value in a deterministic way and investigate the influence of this… (More)

Finite spectrum assignment of unstable time-delay systems with a safe implementation

Sabine Mondié, Wim Michiels
IEEE Trans. Automat. Contr.
2003

The instability mechanisms, related to the implementation of distributed delay controllers in the context of finite spectrum assignment, were studied in detail in the past few years. In this note we… (More)

A linear eigenvalue algorithm for the nonlinear eigenvalue problem

Elias Jarlebring, Wim Michiels, Karl Meerbergen
Numerische Mathematik
2012

The Arnoldi method for standard eigenvalue problems possesses several attractive properties making it robust, reliable and efficient for many problems. Our first important result is a… (More)

A Krylov Method for the Delay Eigenvalue Problem

Elias Jarlebring, Karl Meerbergen, Wim Michiels
SIAM J. Scientific Computing
2010

The Arnoldi method is currently a very popular algorithm to solve large-scale eigenvalue problems. The main goal of this paper is to generalize the Arnoldi method to the characteristic equation of a… (More)

Invariance properties in the root sensitivity of time-delay systems with double imaginary roots

If iω ∈ iR is an eigenvalue of a time-delay system for the delay τ0 then iω is also an eigenvalue for the delays τk := τ0 + k 2π ω , for any k ∈ Z. We investigate the sensitivity and other properties… (More)

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