Dirk Aeyels

A ﬁrst-order phase transition in a multi-dimensional clustering model (2009)

Clustering is a phenomenon that may emerge in multi-agent systems through self-organization: groups arise consisting of agents with similar dynamic behaviour. It is observed in ﬁelds ranging from...

On the attachment location of dynamic vibration absorbers (2009)

A Strategy for Exploration with a Multi-robot System (2009)

In mechanical engineering a commonly used approach to attenuate vibration amplitudes in resonant conditions is the attachment of a dynamic vibration absorber. The optimal parameters for this damped...

Analyzing the dynamics of the nonlinear absorber (2009)

The present paper develops a novel strategy for the exploration of an unknown environment with a multi-robot system. Communication between the robots is restricted to line-of-sight and to a maximum...

Imprecise Probabilities — Discussion and Open Problems (2008)

A possible means to reduce vibrations in a main structure is the local attachment of an extra (damped) spring-mass system. This so called tuned mass damper (or vibration absorber), is most effective...

Gert De Cooman, Dirk Aeyels

Abstract — If only little, vague or conflicting information is available about a system, it is hard to construct and motivate a model based on the so-called precise probability theory. In this...

Resonances and entrainment breakup in Kuramoto models with multimodal frequency densities (2008)

Vehicle platoons through ring coupling (2008)

A mathematical model for the dynamics of clustering (2008)

In this paper, a novel strategy for the control of a string of vehicles is designed. The vehicles are coupled in a unidirectional ring at the interaction level: each vehicle is influenced by the...

Clustering in a network of mutually attracting agents (2008)

Changing the eigenfrequency spectrum using passive vibration absorbers (2008)

We introduce a model of mutually attracting agents in an arbitrary network, for which the long term behavior results in the emergence of several clusters. The cluster structure is independent of the...

Sensor coverage with a multi-robot system (2008)

Using a substructure coupling technique the problem of assigning anti resonances is reformulated as a pole placement problem which can be analyzed in a more general framework. A possible approach to...

Possibility Measures, Random Sets And Natural Extension (2007)

We develop a strategy for the exploration of an unknown environment with a multi-robot system. It is required that the entire free space is covered by the sensors of the robots. Communication between...

Gert De, Gert De Cooman, Dirk Aeyels

. We study the relationship between possibility and necessity measures defined on arbitrary spaces, the theory of imprecise probabilities, and elementary random set theory. We show how special random...

Optimization of Discontinuous Functions and Application to Optimal Control (2007)

A Note on Exponential Stability of Partially Slowly Time-Varying Nonlinear Systems (2007)

We introduce the notion of "subgradient" for arbitrary functions from R n to R. This "subgradient" generalizes the classical gradient concept. We exhibit a close relationship with...

Joan Peuteman, Dirk Aeyels

Consider a system x = f(x; t; t fi ) with a timevarying vectorfield which contains a regular and a slow time scale (fi large). Assume there exists ff(ø) such that kx ø (t; t 0 ; x 0 )k K(ø)kx 0 ke...

Stability for homogeneous cooperative systems 1 (2007)

Dirk Aeyels, Patrick De Leenheer

This paper deals with a particular class of positive systems. It is shown that for this class the rst orthant contains an invariant ray in its interior. Then su-cient conditions for uniqueness of...

Accessibility properties of controlled Lotka-Volterra systems (2007)

Patrick De Leenheer, Dirk Aeyels

Although the dynamical behavior of Lotka-Volterra systems has been studied thoroughly, there exist few results on control related aspects for these systems. We introduce controlled Lotka-Volterra...

Area contraction in the presence of first integrals and almost global convergence (2007)

Aeyels, Dirk, De Smet, Filip, LANGEROCK, B

Modelling the dynamics of cluster formation (2007)

A novel strategy for exploration with multiple robots (2007)

Vibration reduction using dynamic vibration absorbers (2007)

Multi-robot exploration: a novel approach (2007)

A model for the dynamical process of cluster formation (2007)

Partial entrainment in the finite Kuramoto-Sakaguchi model (2007)

Sensor coverage with a multi-robot system (2007)

A novel strategy for exploration with multiple robots (2007)

Feasibility study of vibration absorbers with simplified ship propulsion models (2007)

Feasibility study of vibration absorbers using simplified ship propulsion models (2007)

Minimización del Tiempo de Vuelo de Satélites Utilizando Programación Dinámica (2006)

Moreno, Valery, Aeyels, Dirk

La explosión tecnológica de los últimos 30 años ha afectado el desarrollo de casi todas las ciencias. Una de las ramas del saber en la que se ha reflejado este impacto con mayor claridad es en el...

Partial entrainment in the finite Kuramoto model (2006)

Partial entrainment in the Kuramoto-Sakaguchi model (2006)

Vibration reduction using dynamic absorbers (2006)

Petit, Frits, Aeyels, Dirk

Vibration reduction using multiple dynamic absorbers (2006)

Partial entrainment in the Kuramoto model (2006)

Area contraction of k-dimensional surfaces (2005)

Partial entrainment of oscillators in the finite Kuramoto model (2005)

Area contraction of k-dimensional surfaces and almost global asymptotic stability (2005)

Building classiﬁers that cope with small training sets (2005)

Quaeghebeur, Erik, De Cooman, Gert, Aeyels, Dirk

Networks of Dynamical Systems (2005)

Decentralized Control of Vehicle Platoons with Interconnection Possessing Ring Topology (2005)

Vehicle Platoons Formed through Self-regularisation (2005)

Networks of dynamical systems (2005)

Decentralized Control of Vehicle Platoons with Interconnection Possessing Ring Topology (2005)

Vehicle platoons formed through self-regulation (2005)

Interconnecting networks of phase locked oscillators (2005)

Decentralized control of vehicle platoons with interconnection possessing ring topology (2005)

Area contraction of k-dimensional surfaces and almost global asymptotic stability (2005)

Vehicle platoons with ring coupling (2005)

Feature selection for splice site prediction: A new method using EDA-based feature ranking (2004)

We design a control strategy for platoons of identical vehicles. It is assumed that each vehicle measures the distance with its immediate forward neighbor. The lead vehicle in the platoon only...

Saeys, Yvan, Degroeve, Sven, Aeyels, Dirk, Rouzé, Pierre, Van De Peer, Yves

Abstract Background The identification of relevant biological features in large and complex datasets is an important step towards gaining insight in the processes underlying the data. Other...

Feature selection for splice site prediction: A new method using EDA-based feature ranking (2004)

Saeys, Yvan, Degroeve, Sven, Aeyels, Dirk, Rouzé, Pierre, Van De Peer, Yves

Selecting relevant features for gene structure prediction (2004)

Saeys, Yvan, Degroeve, Sven, Aeyels, Dirk, Rouzé, Pierre, Van De Peer, Yves

Overshoot in VO2 following the onset of moderate-intensity cycle exercise in trained cyclists (2004)

Koppo, Katrien, WHIPP, BJ, JONES, AM, Aeyels, Dirk, Bouckaert, Jacques

Area contraction of k-dimensional surfaces (2004)

Existence of partial entrainment and stability of phase locking behavior of coupled oscillators (2004)

Stability of phase locking in a ring of unidirectionally coupled oscillators (2004)

Periodic output feedback stabilization of single-input single-output continuous-time systems with odd relative degree (2004)

A novel variational method for deriving Lagrangian and Hamiltonian models of inductor-capacitor circuits (2004)

Phase Locking in a Ring of Oscillators (2004)

Stability of phase locking in a ring of unidirectionally coupled oscillators (2004)

Stability of Phase Locking and Existence of Entrainment in Networks of Globally Coupled Oscillators (2004)

Stability of phase locking in a ring of unidirectionally coupled oscillators (2004)

Feature Selection for Classification of Nucleic Acid Sequences (2004)

Yvan Saeys, Yves Van Peer, Prof Dr, Prof Dr, Dirk Aeyels

To summarize, this work studied the effect of feature selection techniques for classifying nucleic acid sequences. The scientific contribution of this study comprises several aspects. The first...

BMC Bioinformatics Methodology article Feature selection for splice site prediction: A new method using EDA-based feature ranking (2004)

Yvan Saeys, Sven Degroeve, Dirk Aeyels, Pierre Rouzé, Yves Van De, Biomed Central

Background: The identification of relevant biological features in large and complex datasets is an important step towards gaining insight in the processes underlying the data. Other advantages of...

Trajectory-based local approximations of ordinary differential equations (2003)

Populations of Oscillators: Total Phase Locking (2003)

Synchronization and total phase locking of mutually coupled oscillators (2003)

Phase Locking in a Ring of Oscillators (2003)

Feature selection using a simple estimation of distribution algorithm. A case study on splice site prediction. (2003)

Saeys, Yvan, Degroeve, Sven, Aeyels, Dirk, Van De Peer, Yves, Rouzé, Pierre

DOI: 10.1093/bioinformatics/btg1076 (2003)

Yvan Saeys, Sven Degroeve, Dirk Aeyels, Pierre Rouzé

Vol. 19 Suppl. 2 2003, pages ii179–ii188

Fast feature selection using a simple Estimation of Distribution Algorithm: A case study on splice site prediction (2003)

Yvan Saeys, Sven Degroeve, Dirk Aeyels

Motivation: Feature subset selection is an important preprocessing step for classification. In biology, where structures or processes are described by a large number of features, the elimination of...

Fast feature selection using a simple estimation of distribution algorithm: a case study on splice site prediction (2003)

Saeys, Yvan, Degroeve, Sven, Aeyels, Dirk, Van De Peer, Yves, Rouzé, Pierre

Motivation: Feature subset selection is an important preprocessing step for classification. In biology, where structures or processes are described by a large number of features, the elimination of...

Exponential stability of slowly time-varying nonlinear systems. (2002)

Exponential stability of nonlinear time-varying differential equations and partial averaging. (2002)

Extension of the Perron-Frobenius theorem to homogeneous systems. (2002)

Aeyels, Dirk, De Leenheer, Patrick

Robustness of nonlinear delay equations with respect to input perturbations: a trajectory based approach. (2002)

Moreau, Luc, MICHIELS, W, Aeyels, Dirk, ROOSE, D

Stabilization of positive systems with first integrals. (2002)

A duality principle for homogeneous vectorfields with applications. (2002)

Moreau, Luc, Aeyels, Dirk, Peuteman, Joan, SEPULCHRE, R

On the optimization of satellite orbit plane changes subject to time constraints and its applications. (2002)

Moreno Vega, Valery, Aeyels, Dirk

Synchronization in a Population of Nearly Identical Oscillators. (2002)

Selecting Relevant Features for Splice Site Prediction by Estimation of Distribution Algorithms. (2002)

Saeys, Yvan, Degroeve, Sven, Aeyels, Dirk, Van De Peer, Yves, Rouzé, Pierre

Retrieving DNA sequence information from mass spectra of nucleic acids. Application to the detection and identification of SNPs (2002)

Saeys, Yvan, Aeyels, Dirk, STANSSENS, P, Van De Peer, Yves, Zabeau, Marc

Feature subset selection for splice site prediction by estimation of distribution algorithms. (2002)

Saeys, Yvan, Degroeve, Sven, Aeyels, Dirk, Van De Peer, Yves, Rouzé, Pierre

A variational principle for nonlinear LC circuits with arbitrary interconnection structure (2002)

On global stabilization of Lotka-Volterra systems (2002)

VEGA, V, Aeyels, Dirk

Extension of the Perron-Frobenius theorem : from linear to homogeneous. (2002)

Stabilization results for positive systems with first integrals. (2002)

Synchronization in a population of oscillators (2002)

Collective Behaviour in a Population of Oscillators (2001)

Nowadays a lot of interest in Systems Theory is directed to problems in which separate systems are coupled to each other. We study the dynamics of a population of uniformly all-to-all coupled limit...

Stabilization results for positive systems with first integrals. (2001)

A variational principle for nonlinear LC circuits with arbitrary interconnection structure. (2001)

Optimization of satellite orbit plane changes subject to the time constraints (2001)

Moreno Vega, Valery, Aeyels, Dirk

Imprecise Probabilities-Discussion and Open Problems (2001)

Troffaes, Matthias, De Cooman, Gert, Aeyels, Dirk

Boundedness properties for time-varying nonlinear systems. (2001)

PEUTEMAN, J, Aeyels, Dirk, SEPULCHRE, R

Stabilization of positive linear systems. (2001)

Optimal control under imprecision (2001)

Troffaes, Matthias, De Cooman, Gert, Aeyels, Dirk

Homogeneous systems : stability, boundedness and duality (2000)

Aeyels, Dirk, Moreau, Luc, SEPULCHRE, R, Peuteman, Joan

Boundedness properties for time-varying homogeneous systems (invited) (2000)

Aeyels, Dirk, Peuteman, Joan, SEPULCHRE, R

Stability results for some classes of cooperative systems (2000)

Accessibility properties of controlled Lotka-Volterra systems (2000)

Asymptotic methods in the stability analysis of parametrized homogeneous flows. (2000)

A note on stabilization by periodic output feedback for third-order systems (2000)

Optimization of discontinuous functions : a generalized theory of differentiation. (2000)

A random set description of a possibility measure and its natural extension. (2000)

Optimization of discontinuous functions: A generalized theory of differentiation. (2000)

MOREAU, L, Aeyels, Dirk

Practical stability and stabilization. (2000)

Stability results for some classes of cooperative systems (2000)

Accessibility properties of controlled Lotka-Volterra systems (2000)

Uniqueness of solutions for control systems with degenerate Lagrangians (2000)

Volckaert, Karel, Aeyels, Dirk

Stability results for some classes of cooperative systems (2000)

Patrick De Leenheer, Dirk Aeyels

This paper deals with the constant control problem for homogeneous cooperative and irreducible systems. These systems serve as models for positive systems. A necessary and sucient condition for...

Homogeneous Systems: Stability, Boundedness and Duality (2000)

Luc Moreau, Dirk Aeyels, Joan Peuteman, Rodolphe Sepulchre

We introduce a duality principle for homogeneous vectorfields. As an application of this duality principle, stability and boundedness results for negative order homogeneous differential equations are...

A Note on Stabilization By Periodic Output Feedback for Third-Order Systems (2000)

Luc Moreau Dirk, Dirk Aeyels

This paper presents research results of the Belgian Programme on Interuniversity Poles of Attraction, initiated by the Belgian State, Prime Minister's Office for Science, Technology and Culture....

Stability and Stabilization of Nonlinear Systems (Lecture Notes in Control and Information Sciences 246) (1999)

Aeyels, Dirk, LAMNABHI-LAGARRIGUE, F

Stability for homogeneous cooperative systems (1999)

Aeyels, Dirk, De Leenheer, Patrick

A note on uniform boundedness of a class of positive systems (1999)

Asymptotic methods in stability analysis and control. (1999)

Trajectory-based global and semi-global stability results. (1999)

Stabilization by means of periodic output feedback. (1999)

A systematic design tool for asymptotic stabilization of driftless control affine Systems. (1999)

Local approximations and stability : a trajectory-based approach. (1999)

Optimization of discontinuous functions and application to optimal control (1999)

Averaging results and the study of uniform asymptotic stability of homogeneous differential equations that are not fast time-varying. (1999)

Averaging results for homogeneous differential equations that are not fast time-varying (1999)

Peuteman, Joan, Aeyels, Dirk, De Leenheer, Patrick

Semi-global practical asymptotic stability and averaging. (1999)

TEEL, AR, Peuteman, Joan, Aeyels, Dirk

The Gotay-Nester algorithm in singular optimal control. (1999)

Volckaert, Karel, Aeyels, Dirk

On exponential stability of nonlinear time-varying differential equations. (1999)

Supremum preserving upper probabilities. (1999)

A note on uniform boundedness of a class of positive systems (1999)

Patrick De Leenheer, Dirk Aeyels

In this note we dene a new class of positive systems. The main result concerns the characterization of uniform boundedness of solutions of these systems. We compare it with an existing result on...

Local Approximations and Stability: A Trajectory-Based Approach (1999)

Luc Moreau And, Luc Moreau, Dirk Aeyels

This paper introduces a new concept of local approximation for ordinary differential equations. Unlike linear and homogeneous approximations, which approximate the vectorfield near the origin, the...

Stabilization By Means of Periodic Output Feedback (1999)

A Note On Periodic Output Feedback Stabilization (1999)

This paper thus solves an open problem posed by Brockett [1] for the particular case of scalarinput scalar-output second-order systems. We assume throughout the paper that b 6= (0 0)

Trajectory-Based Global and Semi-Global Stability Results (1999)

In (Brockett, 1998, A stabilization problem) the following open problem was posed: given a linear time-invariant continuous time system, find - if any - an exponentially stabilizing static...

Luc Moreau And, Luc Moreau, Dirk Aeyels

: - In this paper we are interested in (global) exponential stability results for ordinary differential equations. Stability results are often obtained within the framework of Lyapunov theory, but...

Asymptotic stability for time-variant systems and observability: Uniform and nonuniform criteria. (1998)

Aeyels, Dirk, SEPULCHRE, R, Peuteman, Joan

New asymptotic stability criterion for nonlinear time-variant differential equations. (1998)

Aeyels, Dirk, PEUTEMAN, J

Practical stability for systems depending on a small parameter (1998)

On the investigation of dissipativity by a discrete observation of the storage function (1998)

Peuteman, Joan, Aeyels, Dirk, SOENEN, J

Averaging results for homogeneous differential equations (1998)

A note on exponential stability of partially slowly time-varying nonlinear systems (1998)

Stability for homogeneous flows depending on a small parameter (1998)

Global asymptotic stability for the averaged implies semi-global practical asymptotic stability for the actual. (1998)

TEEL, AR, Peuteman, Joan, Aeyels, Dirk

Supremum Preserving Upper Probabilities (1998)

Gert De, Gert De Cooman, Dirk Aeyels

. We study the relation between possibility measures and the theory of imprecise probabilities, and argue that possibility measures have an important part in this theory. It is shown that a...

Stability For Homogeneous Flows Depending On A Small Parameter (1998)

Practical Stability for Systems Depending on a Small Parameter (1998)

: Systems depending on a small parameter " are considered. Sufficient conditions are stated, including a convergence property for trajectories, a homogeneity property and a periodicity property,...

Uniform asymptotic stability of linear time-varying systems (1997)

Systems x(t) = F (t; x(t); ") depending on a small parameter " are considered. We introduce a concept of convergence of such a system to a system x(t) = G(x(t)). Assuming this convergence,...

A note of the Liapunov approach to the study of asymptotic stability for differential equations (1997)

New criteria for exponential and uniform asymptotic stability of nonlinear time-variant differential equations (1997)

New criteria for exponential and uniform asymptotic stability of nonlinear time-variant differential equations (1997)

A Random Set Description of a Possibility Measure and Its Natural Extension (1997)

Gert De Cooman, Dirk Aeyels

| The relationship is studied between possibility and necessity measures dened on arbitrary spaces, the theory of imprecise probabilities, and elementary random set theory. It is shown how special...

Stabilizability does not imply homogeneous stabilizability for controllable homogeneous systems. (1996)

SEPULCHRE, R, Aeyels, Dirk

Homogeneous Lyapunov functions and necessary conditions for stabilization. (1996)

SEPULCHRE, R, Aeyels, Dirk

On the Coherence of Supremum Preserving Upper Previsions (1996)

Possibility Measures, Random Sets and Natural Extension (1996)

From the Nyquist criterion to the circle criterion (1996)

SEPULCHRE, R, Aeyels, Dirk, Willems, Jacques

On the Coherence of Supremum Preserving Upper Previsions (1996)

Gert De Cooman, Dirk Aeyels, Vakgroep Elektrische Energietechniek

We study the relation between possibility measures and the theory of imprecise probabilities. It is shown that a possibility measure is a coherent upper probability iff it is normal. We also prove...

POLE ASSIGNMENT FOR LINEAR PERIODIC-SYSTEMS BY MEMORYLESS OUTPUT-FEEDBACK. (1995)

ASYMPTOTIC STABILITY OF NONAUTONOMOUS SYSTEMS BY LIAPUNOVS DIRECT METHOD. (1995)

Aeyels, Dirk

Pole assignment by memoryless periodic output feedback (1995)

Stabilization of time-variant control systems (1995)

Stability of nonautonomous systems by Liapunov's direct method (1995)

Aeyels, Dirk

ON THE CONVERGENCE OF A TIME-VARIANT LINEAR-DIFFERENTIAL EQUATION ARISING IN IDENTIFICATION. (1994)

On the stabilization of planar homogeneous systems (1994)

Aeyels, Dirk, SEPULCHRE, R, MAREELS, I

Further obstructions to continuous feedback stabilization (1994)

SEPULCHRE, R, Aeyels, Dirk

Pole assignment for linear periodic systems by means of periodic output feedback (1994)

A METHOD FOR VERIFYING SECTOR CONDITIONS IN NONLINEAR DISCRETE-TIME CONTROL-SYSTEMS - COMMENTS. (1993)

Willems, Jacques, Aeyels, Dirk

NEW DECOMPOSITION FOR 3-PHASE CURRENTS IN POWER-SYSTEMS. (1993)

Willems, Jacques, Aeyels, Dirk

Output feedback: periodic and memoryless as an alternative for time-inva riant and dynamic (1993)

Pole assignment for linear periodic second order systems by means of periodic memoryless outpunt feedback (1993)

On stabilization by means of the Energy-Casimir method. (1992)

Aeyels, Dirk

POLE ASSIGNMENT FOR LINEAR TIME-INVARIANT SYSTEMS BY PERIODIC MEMORYLESS OUTPUT-FEEDBACK. (1992)

STABILITY FOR DYNAMIC-SYSTEMS WITH 1ST INTEGRALS - A TOPOLOGICAL CRITERION. (1992)

Stability for dynamical systems with first integrals: A topological criterion (1992)

POLE ASSIGNMENT FOR LINEAR TIME-INVARIANT 2ND-ORDER SYSTEMS BY PERIODIC STATIC OUTPUT-FEEDBACK. (1991)

Towards pole assignment for linear time-invariant systems by periodic static output feedback (1991)

GLOBAL STABILITY OF SOLUTIONS OF NONLINEAR CONTROL-SYSTEMS - COMMENT. (1991)

Willems, Jacques, Aeyels, Dirk

Pole Assignment for Linear Time-Invariant Second-Order Systems by Periodic Static Output Feedback (1991)

AEYELS, DIRK, WILLEMS, JACQES L.

It is well known that the poles of a linear time-invariant controllable observable system can be assigned arbitrarily by state feedback. When only the output is available, one usually resorts to...

Global observability for nonlinear autonomous differential equations. (1978)

Aeyels, Dirk.

Typescript.

Feature selection for splice site prediction: A new method using EDA-based feature ranking

Saeys, Yvan, Degroeve, Sven, Aeyels, Dirk, Rouzé, Pierre, Van De Peer, Yves

Feature selection for splice site prediction: A new method using EDA-based feature ranking

Saeys, Yvan, Degroeve, Sven, Aeyels, Dirk, Rouzé, Pierre, Van De Peer, Yves

Stability properties of equilibria of classes of cooperative systems.

On Global Stabilization of Lotka-Volterra Systems. Presentation at the 5th IFAC Nonlinear Control Systems Design Symposium (NOLCOS '01), July 4-6, Saint Petersburg, Russia, 2001, 438-443.

Moreno Vega, Valery, Aeyels, Dirk

Exponential stability of partially slowly time-varying nonlinear systems. Mathematics of Control, Signals, and Systems (MCSS), 2001, 27 p.

Uniform asymptotic stability of linear time-varying systems. Open Problems in Mathematical Systems and Control Theory, eds. V.D. Blondel, E.D. Sontag, M. Vidyasagar, J.C. Willems in the series 'Communications and Control Engineering', Springer Ver' lag, London, Great Britain, 1998, 1-5.

A New Asymptotic Stability Criterion for Nonlinear Time-Variant Differential Equations. IEEE Transactions on Automatic Control, 43, 1998, 968-971.

Stability for homogeneous flows depending on a small parameter. Proceedings of the 4th IF AC Nonlinear Control Systems Design Symposium (NOLCOS 98), Enschede, The Netherlands, 1998,488-493.

Practical stability for systems depending on a small parameter. Proceedings of the 37th IEEE Conference on Decision and Control (CDC), Tampa, Florida, USA, 1998, 1428-1433.

A note on exponential stability of nonlinear time-varying differential equations and partial averaging. 3rd Portuguese Conference on Automatic Control: Controlo'98, Coimbra, Portugal, 1998, 221-226.

Averaging results for homogeneous differential equations. Preprints of the IF AC Conference on System Structure and Control, Nantes, France, 1998, 65-69.

A note on exponential stability of partially slowly time-varying nonlinear systems. Preprints of the 4th IFAC Nonlinear Control Systems Design Symposium (NOLCOS 98), Enschede, The Netherlands, 1998, 471-475.