K.U.Leuven, ESAT-SISTA Joint work with (2008)
Ivan Markovsky, Jan C. Willems, Sabine Van Huffel, Bart De Moor, Rik Pintelon
Application of structured total least squares for system identification
Computation of LTI system responses directly from input/output data 1 (2007)
Ivan Markovsky, Jan C. Willems, Paolo Rapisarda, Bart L. M, De Moor
Submitted for publication to CDC 2004
Published in the proc. of Conference on Decision and Control (CDC 2002) (2007)
Ivan Markovsky, Jan C. Willems, B. De Moor
pages 2576--2581
On a class of time-varying behaviors (2007)
Kanat Çamlıbel, Madhu N. Belur, Amol J. Sasane, Jan C. Willems
We study a class of time-varying systems that we encounter when we look into decomposition of behaviors. This class is the set of behaviors that are themselves of polynomials in time, with...
ELIMINATION OF LATENT VARIABLES IN DIFFERENTIAL ALGEBRAIC SYSTEMS (2007)
First principles modelling invariably leads to models which contain latent variables in addition to the manifest variables that the model aims at describing. The problem of elimination of these...
1 DISSIPATIVE DISTRIBUTED SYSTEMS (2007)
A controllable distributed dynamical system described by a system of linear constant-coefficient partial differential equations is said to be conservative if for compact support trajectories the...
LYAPUNOV THEORY FOR HIGH ORDER DIFFERENTIAL SYSTEMS (2007)
The problem is posed to develop Lyapunov theory for differential systems described by high-order differential algebraic equations. The questions are how to verify positivity along solutions of...
The Canonical Controller And Its Regularity (2007)
Jan C. Willems, A. Agung Julius, Madhu N. Belur, Harry L. Trentelman
This paper deals with properties of canonical controllers. We first specify the behavior that they implement. It follows that a canonical controller implements the desired controlled behavior if and...
Balanced State Representations from Higher Order Differential Equations (2007)
Paolo Rapisarda, Jan C. Willems
We present an algorithm to compute a balanced state representation of a system from its description in terms of polynomial matrices and higher-order differential equations. Keywords: Behaviors, image...
The Behavioral Approach as a Paradigm for Modelling Interconnected Systems (2007)
Harry L. Trentelman, Jan C. Willems
This article contains the outline of a 3-hour course that will be given by the authors at the ECC 2003. The course consists of 4 parts: 1. The basic concepts, 2. Linear differential systems, 3....
State And First Order Representations (2007)
We conjecture that the solution set of a system of linear constant coefficient PDE's is Markovian if and only if it is the solution set of a system of first order PDE's. An analogous...
Minicourse on behavioral systems theory- Lecture 2: Representations and annihilators of LTIDS (2006)
Minicourse on behavioral systems theory- Lecture 2: Representations and annihilators of LTIDS (2006)
Minicourse on behavioral systems theory- Lecture 4: Bilinear and quadratic differential forms (2006)
Minicourse on behavioral systems theory- Lecture 4: Bilinear and quadratic differential forms (2006)
A note on persistency of excitation (2005)
Willems, Jan C., Rapisarda, Paolo, Markovsky, Ivan
We prove that if a component of the response signal of a controllable linear time-invariant system is persistently exciting of sufficiently high order, then the windows of the signal span the full...
Conserved- and zero-mean quadratic quantities in oscillatory systems (2005)
Rapisarda, Paolo, Willems, Jan C.
We study quadratic functionals of the variables of a linear oscillatory system and their derivatives. We show that such functionals are partitioned in conserved quantities and in trivially- and...
Algorithms for deterministic balanced subspace identification (2005)
Markovsky, Ivan, Willems, Jan C., Rapisarda, Paolo
New algorithms for identification of a balanced state space representation are proposed. They are based on a procedure for the estimation of impulse response and sequential zero input responses...
A note on persistency of excitation (2005)
Willems, Jan C., Rapisarda, Paolo, Markovsky, Ivan
We prove that if a component of the response signal of a controllable linear time-invariant system is persistently exciting of sufficiently high order, then the windows of the signal span the full...
Conserved- and zero-mean quadratic quantities in oscillatory systems (2005)
Rapisarda, Paolo, Willems, Jan C.
We study quadratic functionals of the variables of a linear oscillatory system and their derivatives. We show that such functionals are partitioned in conserved quantities and in trivially- and...
Algorithms for deterministic balanced subspace identification (2005)
Markovsky, Ivan, Willems, Jan C., Rapisarda, Paolo
New algorithms for identification of a balanced state space representation are proposed. They are based on a procedure for the estimation of impulse response and sequential zero input responses...
A note on persistency of excitation (2005)
Willems, Jan C., Rapisarda, Paolo, Markovsky, Ivan
We prove that if a component of the response signal of a controllable linear time-invariant system is persistently exciting of sufficiently high order, then the windows of the signal span the full...
Conserved- and zero-mean quadratic quantities in oscillatory systems (2005)
Rapisarda, Paolo, Willems, Jan C.
We study quadratic functionals of the variables of a linear oscillatory system and their derivatives. We show that such functionals are partitioned in conserved quantities and in trivially- and...
Algorithms for deterministic balanced subspace identification (2005)
Markovsky, Ivan, Willems, Jan C., Rapisarda, Paolo
New algorithms for identification of a balanced state space representation are proposed. They are based on a procedure for the estimation of impulse response and sequential zero input responses...
A Note On Persistency Of Excitation (2004)
Jan C. Willems, Paolo Rapisarda, Ivan Markovsky, Bart De Moor
This report is available by anonymous ftp from ftp.esat.kuleuven.ac.be in the directory pub/sista/markovsky/reports/04-101.ps.gz K.U.Leuven, Dept. of Electrical Engineering (ESAT), Research group SCD...
Application of Structured Total Least Squares for System Identification and Model Reduction (2004)
Ivan Markovsky, Sabine Van Huffel, Jan C. Willems, Sabine Van Hu#el, Bart De Moor, ...
This report is available by anonymous ftp from ftp.esat.kuleuven.ac.be in the directory pub/sista/markovsky/reports/04-51.ps.gz K.U.Leuven, Dept. of Electrical Engineering (ESAT), Research group SCD...
Balanced state representations with polynomial algebra (2002)
Willems, Jan C., Rapisarda, Paolo
Algorithms are derived which pass directly from the differential equation describing the behavior of a finite-dimensional linear system to a balanced state representation
Balanced state representations with polynomial algebra (2002)
Willems, Jan C., Rapisarda, Paolo
Algorithms are derived which pass directly from the differential equation describing the behavior of a finite-dimensional linear system to a balanced state representation
Synthesis of Dissipative Systems Using Quadratic Differential Forms (2002)
Jan C. Willems, H. L. Trentelman, Senior Member
Abstract—The problem discussed is that of designing a controller for a linear system that renders a quadratic functional nonnegative. Our formulation and solution of this problem is completely...
Synthesis of dissipative systems using quadratic differential forms (2002)
H. L. Trentelman, Senior Member, Jan C. Willems
Abstract—In this second part of this paper, we discuss several important special cases of the problem solved in Part I. These are: disturbance attenuation and passivation, the full information...
Hector J. Sussmann, Jan C. Willems
The purpose of this paper is to show that modern control theory, both in the form of the "classical " ideas developed in the 1950s and 1960s, and in that of later, more recent...
Héctor J. Sussmann, Jan C. Willems
The purpose of this paper is to show that modern control theory, both in the form of the “classical ” ideas developed in the 1950s and 1960s, and in that of later, more recent methods such as the...
Open problems in the area of pole placement (1998)
Joachim Rosenthal, Jan C. Willems
In recent years there has been significant progress towards the solution of various versions of the pole placement problem. An important factor has been the behavioral theory which provided a...
Open Dynamical Systems and their Control (1998)
. A mathematical framework for studying open dynamical systems is sketched. Special attention is given in the exposition to linear time-invariant differential systems. The main concepts that are...
Open Problems in the Area of Pole Placement (1998)
Joachim Rosenthal, Jan C. Willems
Introduction The static and the dynamic output pole placement problem belong to the prominent design problems of modern control theory and we refer to the survey articles [4, 10, 19, 21] where also...
State maps for linear systems (1997)
Rapisarda, Paolo, Willems, Jan C.
Modeling of physical systems consists of writing the equations describing a phenomenon and yields as a result a set of differential-algebraic equations. As such, state-space models are not a natural...
State maps for linear systems (1997)
Rapisarda, Paolo, Willems, Jan C.
Modeling of physical systems consists of writing the equations describing a phenomenon and yields as a result a set of differential-algebraic equations. As such, state-space models are not a natural...
Generic eigenvalue assignability by real memoryless output feedback made simple (1997)
In this paper we will prove that if n p, then generically the controlled eigenvalues can be assigned by memoryless output feedback in a real time-invariant linear system with n states, m inputs, and...
Years Of Optimal Control: From The Brachystochrone To The Maximum Principle (1997)
Héctor J. Sussmann, Jan C. Willems
This paper was presented in the history session of the 35th Conference on Decision and Control in Kobe, Japan, on December 11, 1996. 300 years of optimal control 1 Optimal control was born in 1697...
Trentelman, H. L, Willems, Jan C
Incluye bibliografía
The Computational Complexity of Decentralized Discrete-Event Control Problems (1993)
Computational complexity results are obtained for decentralized discrete-event system problems. These results generalize the earlier work of Tsitsiklis, who showed that for centralized supervisory...
BYRNES, CHRISTOPHER I., WILLEMS, JAN C.
In contrast to estimation by ordinary least squares, estimation by total least squares has much less favourable properties as far as existence and uniqueness of local minima is concerned. Indeed, as...
On the Stability of Numerical Integration Routines for Ordinary Differential Equations (1973)
GLOVER, KEITH, WILLEMS, JAN C.
Numerical integration methods for the solution of initial value problems for ordinary vector differential equations may be modelled as discrete time feedback systems. The stability criteria...
Nonlinear harmonic analysis. (1968)
Massachusetts Institute of Technology. Dept. of Electrical Engineering. Thesis. 1968. Ph. D.