Lectures

• HYCON-EECI Graduate School on Control 2010
• Elgersburg School on Mathematical Systems Theory 2010
• HYCON-EECI Graduate School on Control 2009
• Monopoli Summer School 2008
• Minicourse MTNS 2006
• Short Course CDC 2005
• Chaire Francqui 2003-2004
• Graduate Course 2004
• Minicourse ECC 2003
• Graduate Course 2002
• Short Course CDC 2000

2012

• Switched behaviors with impulses: a unifying framework (presented by Stephan Trenn)
  December 11, 51th IEEE Conference on Decision and Control, Maui
  
  
• Interconnection of stochastic systems
  July 11, IFAC Conference on System Identification, Brussels
  
  
• Modeling and interconnection of dynamical systems
  March 26, Workshop 'Dynamics at the Academy', VLAC, Brussels
  
  
• Open stochastic systems
  Workshop on Control Theory: Mathematical Perspectives on Complex Networked Systems, February 28, Mathematisches Forschungsinstitut Oberwolfach
  
  
• First order representations
  Open problem session, Workshop on Control Theory: Mathematical Perspectives on Complex Networked Systems, February 28, Mathematisches Forschungsinstitut Oberwolfach
  

2011

• An internal model principle for observers (presented by Jochen Trumpf)
  December 13, 50th IEEE Conference on Decision and Control, Orlando
  
  
• Open stochastic systems
  December 12, 50th IEEE Conference on Decision and Control, Orlando
  
  
• On the stability of switched behavioral systems (presented by Paula Rocha)
  December 12, 50th IEEE Conference on Decision and Control, Orlando
  
  
• State space representation of SISO periodic behaviors (presented by José Carlos Aleixo)
  December 12, 50th IEEE Conference on Decision and Control, Orlando
  
  
• Energy in circuits and mechanics
  Workshop on The Work of Peter Crouch
  in honor of Peter E. Crouch on the occasion of his 60th birthday
  December 11, 50th IEEE Conference on Decision and Control, Orlando
  
  
• Stochastic events
  December 2, Symposium on Complex Challenges, Eindhoven University of Technology
  in honor of Siep Weiland on the occasion of his inaugural lecture
  
  
• Open stochastic systems
  November 10, Seminar, Imperial College, London, UK
  
  
• Open stochastic systems
  September 27, Workshop on Network Synthesis, Cambridge, UK
  
  
• Synthesis of reciprocal circuits
  September 27, Workshop on Network Synthesis, Cambridge, UK
  
  
• Open stochastic systems
  July 8, Minisymposium on Systems and Control, Groningen
  
  
• Open stochastic systems
  June 2, Seminar, MIT, Cambridge, MA
  
  
• Open stochastic systems & their interconnection
  Workshop on Perspectives and Future Directions in Systems and Control Theory,
  May 23, Rutgers University, Piscataway, NJ
  in honor of Eduardo Sontag on the occasion of his 60th birthday
  
  
• Modeling, interconnection, and energy flow for dynamical systems
  February 18, Colloquium, Technische Universtät Berlin
  

2010

• The behavior of linear time-invariant RLC circuits (presented by Erik Verriest)
  December 17, 49th IEEE Conference on Decision and Control, Atlanta
  
  
• On the dissipativity of pseudorational behaviors (presented by Masaki Ogura)
  December 15, 49th IEEE Conference on Decision and Control, Atlanta
  
  
• Energy transfer in electrical circuits
  Workshop on Half-Century's Excellence in Systems and Control Engineering
  in honor of Brian D.O. Anderson on the occasion of his 70th birthday
  December 14, 49th IEEE Conference on Decision and Control, Atlanta
  
  
• Modeling, interconnection, and energy flow for dynamical systems
  December 13, Colloquium, Georgia Tech, Atlanta
  
  
• Terminals and ports
  October 27,'Back to Basics' colloquium, Porto, Portugal
  
  
• Open dynamical systems: their aims and origins
  doctor honoris causa lecture, October 15, Liège
  
  
• A post-modern view of some of the basics of electrical circuit theory
  Workshop on Mathematical Aspects of Electrical Network Synthesis
  September 28, Würzburg, Germany
  
  
• A behavioral approach to modeling electrical circuits
  July 5, MTNS2010, Budapest
  
  
• Passive synthesis of the terminal behavior of circuits
  July 5, MTNS2010, Budapest
  
  
• Ports and terminals
  July 9, MTNS2010, Budapest
  
  
• Terminals and ports
  May 31, IEEE International Symposium on Circuits and Systems (ISCAS 2010), Paris
  
  
• The Behavioral Approach to Modeling and Control
  HYCON-EECI Graduate School on Control Spring 2010, May 3-7, Supélec, Gif-sur-Yvette, France
  
  
• Modeling, interconnection, and energy flow for dynamical systems
  April 28, Colloquium, University of Maryland
  
  
• Mechanical ports
  Symposium on Systems, Control, and Signal Processing
  in honor of Yutaka Yamamoto on the occasion of his 60th birthday
  March 29, Kyoto, Japan
  
  
• Behavioural Approach to Systems Theory
  Elgersburg School on Mathematical Systems Theory, March 8-13, Elgersburg, Germany
  
  
• Modeling interconnected systems
  March 3, Plenary lecture, International Symposium on Communications, Control, and Signal Processing, Cyprus
  
  
• Moving and motion
  February 26, Afscheid Carsten Scherer, Delft University of Technology
  
  
• Energy flow in interconnected systems
  February 5, Colloquium, Cambridge University, UK
  

2009

• Energy flow in interconnected systems
  December 8, Colloquium, University of Groningen
  
  
• À la recherche du temps perdu
  Symposium Paths Ahead in the Science of Information and Decision Systems
  in honor of Sanjoy Mitter on the occasion of his retirement
  November 13, Cambridge, MA
  
  
• Ports and terminals
  November 9, Seminar, MIT, Cambridge, MA
  
  
• The right connection
  Symposium Four Decades of Systems and Control Systems and Control
  in honor of Okko Bosgra on the occasion of his retirement
  September 18, Delft University of Technology
  
  
• Ports and terminals
  A Celebration of the Field of Systems and Control
  in honor of Chris Byrnes and Anders Lindquist
  September 9, KTH, Stockholm
  
  
• Reflections on ARMAX Systems
  Conference on Econometrics, Time Series Analysis and Systems Theory
  in honor of Manfred Deistler on the occasion of his retirement
  June 18, Technische Universität Wien, Austria
  
  
• System interconnection
  February 12, Kolloquium, Technische Universität München, Germany
  
  
• The behavioral approach to modeling and control
  HYCON-EECI Graduate School on Control Spring 2009, February 2-6, Supélec, Gif-sur-Yvette, France

2008

• Distance between linear systems and order reduction
  Conference on Rolling Waves in Leuven
  in honor of Adhemar Bultheel on the occasion of his 60th birthday
  December 16, K.U. Leuven
  
  
• Quadratic differential forms and high order Lyapunov functions
  The Brockett Legacy Workshop
  in honor of Roger Brockett on the occasion of his 70th birthday
  47th IEEE Conference on Decision and Control, Cancun, Mexico
  
  
• Interconnected systems
  November 18, SISTA Colloquium, K.U. Leuven
  
  
• Model reduction in the gap
  November 30, Workshop on Model Reduction for Circuit Simulation, University of Hamburg, Germany
  
  
• Interconnected systems
  October 15, Lecture at a mini-symposium at the Delft University of Technology
       Extended version
  
  
• Models and behaviors
  September 25, Lecture at the University of Aveiro, Portugal
  
  
• Modeling interconnected systems
  September 18, Workshop on Linear Systems, Sde Boker, Israel
  
  
• Linear Systems Theory, Control, and Matrix Computations
  International Summer School 2008, Monopoli, Italy
  
  
• Interconnected systems
  July 22, Seminar, Kyoto University, Japan
  
  
• Rational symbols
  July 10, IFAC World Congress, Seoul, Korea
  
  
• Recursive computation of the MPUM
  July 4, Workshop on Uncertain Dynamical Systems, Awaji, Japan
  
  
• Rational symbols
  June 26, Seminar, Kyoto University, Japan
  
  
• System interconnection
  Workshop on Analysis and Design of Nonlinear Control Systems
  in honor of Alberto Isidori on the occasion of his 65th birthday
  May 16, London, UK
  
  
• Foundations of (linear) system theory
  April 30, Seminar, Technische Universität, Ilmenau, Germany
  
  
• Modeling interconnected systems
  March 12, International Symposium on Communications, Control, and Signal Processing, Malta
  
  
• Representations of linear time-invariant systems
  March 12, International Symposium on Communications, Control, and Signal Processing, Malta
  
  
• Rational symbols
  January 18, System Theory Day, University of Groningen, The Netherlands
  
  
• Parametrization of stabilizing controllers
  Workshop on Recent Advances on Control and Learning
  in honor of Mathukumalli Vidyasagar on the occasion of his 60th birthday
  January 7, Hyderabad, India
  
  
• Recursive computation of the MPUM
  January 4, Institute lecture, Indian Institute of Technology Bombay, Mumbai, India

2007

• Parametrization of stabilizing controllers
  December 12, IEEE Conference on Decision and Control, New Orleans, LA, USA
  
  
• A new approach for the identification of hidden Markov models
  December 14, IEEE Conference on Decision and Control, New Orleans, LA, USA
  
  
• Recursive computation of the MPUM
  December 10, Seminar, Massachusetts Institute of Technology, Cambridge, MA, USA
  
  
• A new look at observers
  November 27, Colloquium, University of Southampton, UK
  
  
• Foundations of linear system theory
  October 31, Colloquium, Delft University of Technology, The Netherlands
  
  
• Recursive computation of the MPUM
  Workshop on Modeling, Identification and Control
  in honor of Giorgio Picci on the occasion of his 65th birthday
  October 25, Venice, Italy
  
  
• A new look at observers
  August 27, Plenary lecture, Conference on Mathematical Modelling, Automation and Robotics (MMAR), Szczecin, Poland
  
  
• An internal model principle for observers (presented by Jochen Trumpf)
  in honor of Paul Fuhrmann on the occasion of his 70th birthday
  Beer Sheva, Israel
  
  
• Dissipative systems
  July 5, Semi-plenary lecture, European Conference Conference (ECC07), Kos, Greece
  
  
• Tearing, zooming, and linking
  July 5, European Conference Conference (ECC07), Kos, Greece
  
  
• Equivalence of state representations for hidden Markov models
  July 3, European Conference Conference (ECC07), Kos, Greece
  
  
• Remarks on nD stability
  June 27, Conference on nD Systems (NDS), Aveiro, Portugal
  
  
• Open dynamical systems: Their aims and their origins
  May 28, Antonio Ruberti public lecture, Rome, Italy
  
  
• Dissipative distributed systems
  February 26, Workshop on Linear Systems, Canberra, AU
  
  
• Controllability and observability in a new perspective
  February 22, Colloquium, Australian National University, Canberra, Canberra, AU

2006

• The module structure of ARMAX systems
  December 13, IEEE Conference on Decision and Control, San Diego, CA, USA
  
  
• Behaviors defined by rational functions
  December 13, IEEE Conference on Decision and Control, San Diego, CA, USA
  
  
• Open dynamical systems and their origins
  November 30, Peter Sagirow public lecture, Universität Stuttgart, Germany
  
  
• Dissipative dynamical systems
  November 29, Colloquium, Universität Stuttgart, Germany
  
  
• What is... a dissipative system?
  November 14, Colloquium, Kyoto University, Japan
  
  
• Rational representations of LTID systems
  November 8, Colloquium, Kyoto University, Japan
  
  
• Dissipative systems: Where do we stand?
  Workshop on Mathematical Systems Theory: Where are we?
  in honor of Gianni Marchesini on the occasion of his 70th birthday
  October 27, Padova, Italy
  
  
• Dissipative distributed systems
  October 19, Colloquium, LAAS, Toulouse, France
  
  
• Open and connected
  September 18, Conference for Young Researchers in Computer Science, Control, and Communications, Zielona Gora, Poland
  
  
• Minicourse: The behavioral approach to systems theory
  July 25 and 26, MTNS 2006, Kyoto, Japan
  
  
• State from data
  Workshop on Control of Uncertain Systems
  in honor of Keith Glover on the occasion of his 60th birthday
  April 21, Cambridge, UK
  
  
• Recursive computation of the MPUM
  March 30, IFAC Conference on System Identification (SYSID 2006), Newcastle, AU
  
  
• State construction in SYSID
  March 29, IFAC Conference on System Identification (SYSID 2006), Newcastle, AU
  
  
• Open and Connected
  March 13, lecture on the occasion of the 25th Benelux Meeting on Systems and Control, Heeze, The Netherlands
  
  
• Dissipative distributed systems
  February 17, Colloquium, Cambridge University, UK
  
  
• System identification via state construction
  February 15, Colloquium, University of Southampton, UK.

2005

• Optimality w.r.t. blips
  December 12, IEEE Conference on Decision and Control and European Control Conference 2005, Seville, Spain
  
  
• The MPUM
  November 17, Workshop on Convolutional Coding, Würzburg, Germany
  
  
• Interconnection by sharing variables
  October 20, International Symposium on Nonlinear Theory and Applications (NOLTA 2005), Brugge
  
  
• Stability of dissipative interconnections
  October 20, International Symposium on Nonlinear Theory and Applications (NOLTA 2005), Brugge
  
  
• State construction from data
  September 16, Workshop on Linear Systems, Sde Boker, Israel
  
  
• Open and connected
  September 12, Workshop on Linear Systems, Sde Boker, Israel
  
  
• The behavioral approach to systems theory
  September 7, Conference on New Approaches in System and Control Theory, Istanbul, Turkey
  
  
• The sum-of-squares problem and distributed dissipative systems
  August 3, Workshop on Theory and Algorithms of Linear Matrix Inequalities, American Institute of Mathematics, Palo Alto, CA
  
  
• Dissipative systems
  August 2, Workshop on Theory and Algorithms of Linear Matrix Inequalities, American Institute of Mathematics, Palo Alto, CA
  
  
• The sum-of-squares problem and dissipative systems
  June 11, Fourth International Workshop on Multidimensional Systems (NDS 2005), Wuppertal, Germany
  
  
• LQ control and QDF's
  June 4, IFAC World Congress, Prague, Czech Republic
  
  
• Algorithms for exact and approximate identification from finite time series
  May 26, Seminar, Department of Information Systems, Kyoto University
  
  
• Dissipative distributed systems
  May 11, Seminar, Department of Dept. of Mechanical Science and Engineering, Nagoya University
  
  
• Dissipative distributed systems
  May 9, Seminar, Department of Information Physics and Computing, The University of Tokyo
  
  
• An identification algorithm for ARMAX systems: First the X, then the AR, finally the MA
  March 3, Oberwolfach Tagung Regelungstheorie
  
  
• When is a linear system optimal?
  March 1, Oberwolfach Tagung Regelungstheorie, Open problem session
  
  
• Over systeemidentificatie
  Ter gelegenheid van het emeritaat van Jacques Willems
  January 12, Universiteit Gent

2004

• Persistency of excitation
  December 14, IEEE Conference on Decision and Control, The Bahamas
  
  
• Hidden variables in dissipative systems
  December 13, IEEE Conference on Decision and Control, The Bahamas
  
  
• The module structure of ARMAX systems
  October 4, 2004, ERNSI workshop, Budapest
  
  
• An identification algorithm for ARMAX systems: First the X, then the AR, finally the MA
  July 13, Conference on Observation and  Estimation, Ben Gurion University, Sde Boker, Israel
  
  
• Remarks on RLC circuits
  July 13, Conference on Observation and  Estimation, Ben Gurion University, Sde Boker, Israel
  
  
• A tutorial introduction to quadratic differential forms
  July 5,  MTNS2004, Leuven, Belgium (together with P. Rapisarda)
  
  
• Systems theory and physical models
  June 3, Lecture on the occasion of the 25th anniversary of the Universidade di Aveiro
  
  
• May 2004, Five lectures for the Chaire Francqui 2003-2004
  
  
• State construction
  April 8, Seminar, Department of Electrical Engineering, University of Padova
  
  
• System theory and physical models
  March 24, Inaugural lecture for the Chaire Francqui 2003-2004
  
  
• Laudatio for the Johann Bernoulli lecture of Bart De Moor
  March 23, Bernoulli Foundation, Groningen
  
  
• Lectures on dissipative systems
  February 2 and 9, Graduate course Analysis of Feedback Systems: Theory and Computation
  
  
• Over systemen, theorieën en theorema's (tekst)      LCDframes
  January 13, Farewell lecture at the University of Groningen
  

2003

• The canonical controller and its regularity
  December 10, IEEE Conference on Decision and Control (CDC2003), Maui, Hawaii
  
  
• Uncontrollable dissipative systems and unobservable storage functions
  December 10, IEEE Conference on Decision and Control (CDC2003), Maui, Hawaii
  
  
• The behavioral approach to systems and control
  December 5, Seminar, Department of Electrical Engineering, University of California at Santa Barbara
  
  
• Dissipative distributed systems
  December 4, Seminar, Department of Electrical Engineering, University of California at Santa Barbara
  
  
• Exact and approximate system identification
  December 3, Seminar, Department of Electrical Engineering - Systems, University of Southern California
  
  
• From time series to balanced representation, Part I: Theory    Part II: Algorithms
  October 7, ERNSI workshop, Noordwijkerhout, The Netherlands
  
  
• The behavioral approach as a paradigm for modelling interconnected systems
  September 2, Minicourse, European Control Conference (ECC 2003), Cambridge, UK
  
  
• Conserved and zero-mean quantities in oscillatory systems (presented by Paolo Rapisarda)
  June 27, System Theory Day, University of Groningen
  
  
• State construction and subspace identification
  June 6, Seminar, Department of Mechanical Engineering, University of Osaka
  
  
• The behavioral approach to systems and control
  June 4, Seminar, Department of Information Systems, University of Osaka
  
  
• Dissipative Dynamical Systems
  May 28, Plenary lecture, SICE Conference on Control Systems, Kobe, Japan
  
  
• State construction and subspace identification
  May 26, Seminar, Department of Information Systems, Kyoto University
  
  
• The behavioral approach to systems and control
  May 22, Seminar, Department of Mechanical Engineering, Kyoto University
  
  
• Dissipative systems, storage functions, and polynomial factorization
  May 21, Seminar, Department of Information Systems, Kyoto University
  
  
• Dissipative systems, storage functions, and polynomial factorization
  May 13, Seminar, Department of Mechanical Engineering, University of Osaka
  
  
• Control as interconnection (with Agung Julius and Madhu Belur),     Part I, Part II, Part III
  April 17, Seminar, SISTA, K.U. Leuven
  
  
• Dissipative systems
  January 28, Seminar, Department of Mathematics, RWTH Aachen
  

2002

• State construction in discrete event and continuous systems
  December 10, IEEE Conference on Decision and Control (CDC2002), Las Vegas, NA, USA
  
  
• Balancing using polynomial algebra
  Conference on New Directions in Mathematical Systems Theory and Optimization
  in honor of Anders Lindquist the occasion of his 60th birthday
  November 16, Stockholm, Sweden
  
  
• Dissipative systems
  October 10, Seminar, Department of Applied Mathematics, University of Twente
  
  
• Mathematical Models of Systems
  Fall 2002, 18-hour graduate course, for the Belgian Graduate School in Systems and Control
  
  
• Dissipative systems, Part I     Part II
  September 11, Department of Mathematics, University of Aveiro, Portugal
  
  
• The behavioral approach to systems and control
  September 5, Plenary lecture, Controlo2002, Aveiro, Portugal
  
  
• Deterministic Kalman filtering
  August 15, MTNS2002, Notre Dame, IN, USA
  
  
• Dissipative distributed systems
  August 14, Semi-plenary lecture, MTNS2002, Notre Dame, IN, USA
  
  
• Behavioral n-D systems
  August 14, Part 1 of a mini-course on n-D systems, MTNS2002, Notre Dame, IN, USA
  
  
• State and first order representations
  August 12, Open problem session, MTNS2002, Notre Dame, IN, USA
  
  
• The behavioral approach to systems and control
  May 7, CESAME seminar, University of Louvain-la-Neuve
  
  
• The behavioral approach to systems and control
  April 24, Mathematics colloquium, University of Amsterdam
  
  
• Model reduction by balancing
  March 15, Seminar, University of Louvain-la-Neuve
  
  
• Deterministic Kalman filtering
  March 6, IUAP Study day, KU Leuven
  
  
• State and first order representations
  February 27, Open problem session, Oberwolfach Tagung Regelungstheorie
  
  
• Dissipative distributed systems
  February 25, Oberwolfach Tagung Regelungstheorie
  
  
• The behavioral approach to systems and control
  February 20, SISTA seminar, KULeuven
  
  
• Dissipative dynamical systems
  January 9, SISTA seminar, KULeuven
  

Selected presentations before 2002

• Distributed dissipative systems
  System theory day in honor of Ruth Curtain on the occasion of her 60th birthday
  October 19, 2001, Groningen
  
  
• A new look at the state representation problem
  September 19, 2001, ERNSI workshop, Cambridge, UK
  
  
• Distributed dissipative systems
  May 9, 2001, Mathematics colloquium, University of Innsbruck, Austria
  
  
• Modeling, modularity, and modules
  Kolloquium in honor of Inge Troch on the occasion of her 60th birthday
  March 24, 2001, T.U. Wien
  
  
• Modeling, modularity, and modules
  Conference in honor of Boyd Pearson on the occasion of his 70th birthday
  March 9, 2001, Rice University, Houston, Texas
  
  
• The behavioral approach to modeling and control
  January 9, 2001, Conference on Chemical Process Control (CPC6), Tucson, AZ, USA
  
  
• The behavioral approach to systems and control
  March 1, 2000, Seminar, The MathWorks, Natick, MA, USA
  

• HYCON-EECI Graduate School on Control, Spring 2010

The Behavioral Approach to Modeling and Control, May 3-7, 2010, Supélec, Gif-sur-Yvette, France


• Lecture 1:   Models and behaviors (lecturer: J.C. Willems)
• Lecture 2:   Linear time-invariant differential systems (lecturer: J.C. Willems)
• Lecture 3:   Kernel representations (lecturer: J.C. Willems)
• Lecture 4:   Latent variables (lecturer: J.C. Willems)
• Lecture 5:   State and state construction (lecturer: P. Rapisarda)
• Lecture 6:   Controllability (lecturer: J.C. Willems)
• Lecture 7:   Quadratic and bilinear differential forms (lecturer: P. Rapisarda)
• Lecture 8:   System interconnection (lecturer: J.C. Willems)
• Lecture 9:   Dissipative systems (lecturer: P. Rapisarda)
• Lecture 10:  Energy flow in systems (lecturer: J.C. Willems)
• Lecture 11:  Deterministic identification (lecturer: P. Rapisarda)
• Exercises - part 1
• Exercises - part 2


• Elgersburg School on Mathematical Systems Theory, 2010

Behavioural Approach to Systems Theory, March 8-13, 2010, Elgersburg, Germany


• Lecture 1:   Models and Behaviors
• Lecture 2:   Linear time-invariant differential systems
• Lecture 3:   Latent variables
• Lecture 4:   System interconnection
• Lecture 5:   Energy flow in systems
• Exercises


• HYCON-EECI Graduate School on Control, Spring 2009

The Behavioral Approach to Modeling and Control, February 2-6, 2009, Supélec, Gif-sur-Yvette, France


• Lecture 1:   Models and Behaviors (lecturer: J.C. Willems)
• Lecture 2:   Linear time-invariant differential systems, Part 1 (lecturer: J.C. Willems)
• Lecture 3:   Linear time-invariant differential systems, Part 2 (lecturer: P. Rapisarda)
• Lecture 4a:  Rational symbols (lecturer: J.C. Willems)
• Lecture 4b:  State construction (lecturer: P. Rapisarda)
• Lecture 5:   Linear quadratic theory (lecturer: P. Rapisarda)
• Lecture 6:   System interconnection and control (lecturer: J.C. Willems)
• Lecture 7a:  Linear-quadratic control (lecturer: P. Rapisarda)
• Lecture 7b:  System identification for deterministic systems (lecturer: P. Rapisarda)
• Exercises
• Appendix
• References


• International Summer School 2008

Linear System Theory, Control and Matrix Computations, September 7-12, 2008, Monopoli, Italy


• Lecture 1:   Models and Behaviors (lecturer: J.C. Willems)
• Lecture 2:   Systems described by differential equations (lecturer: P. Rapisarda)
• Lecture 3:   Least squares and the singular value decomposition (lecturer: I. Markovsky)
• Lecture 4:   Linear state space systems and realization theory (lecturer: J.C. Willems)
• Lecture 5:   The most powerful unfalsified model (lecturer: I. Markovsky)
• Lecture 6:   Convex optimization and linear matrix inequalities (lecturer: C. Scherer)
• Lecture 7:   Rational symbols (lecturer: J.C. Willems)
• Lecture 8:   Model reduction methods using SVD and Krylov methods (lecturer: A.C. Antoulas)
• Lecture 9:   Approximate system identification (lecturer: I. Markovsky)
• Lecture 10:  Model reduction from measurements (lecturer: A.C. Antoulas)
• Lecture 11:  H_∞-control (lecturer: C. Scherer)
• Lecture 12:  State models and state construction (lecturer: P. Rapisarda)
• Lecture 13:  Modeling interconnected systems (lecturer: J.C. Willems)
• Lecture 14:  Dissipative systems (lecturer: P. Rapisarda)
• Lecture 15:  Robust control (lecturer: C. Scherer)


• Exercises for lectures 1 and 2:        assignment    solutions
• Exercises for lectures 3, 5, and 9:   assignment    solutions
• Exercises for lecture 6:                assignment    solutions
• Exercises for lectures 11 and 15:     assignment    solutions
• Exercises for lectures 12 and 14:     assignment    solutions


• MTNS 2006
  
  Minicourse The behavioral approach to systems theory, July 25 and 26, MTNS 2006, Kyoto, Japan
  
  
  
  • Lecture 1: General Introduction (lecturer: J.C. Willems)
  • Lecture 2: Representations and annihilators of linear time-invariant systems (lecturer: J.C. Willems)
  • Lecture 3: State and state construction (lecturer: P. Rapisarda)
  • Lecture 4: Bilinear and quadratic differential forms (lecturer: P. Rapisarda)
  • Lecture 5: Multidimensional systems (lecturer: P. Rapisarda)
  • Lecture 6: System identification (lecturer: J.C. Willems)
  
  
• CDC 2005
  
  Pre-CDC short course on The behavioral approach to systems and control: Introduction and recent advances, Sevilla, Spain.
  
  
  • Lecture 1: General introduction and motivation (lecturer: J.C. Willems)
  • Lecture 2: (lecturer: J.W. Polderman)
  • Lecture 3: (lecturer: H.L. Trentelman)
  • Lecture 4: (lecturer: Eva Zerz)
  • Lecture 5: (lecturer: Paula Rocha)
  • Lecture 6: Dissipative distributed systems (lecturer: J.C. Willems)
  
  
• Chaire Francqui 2003-2004

  Lectures for the Chaire Francqui at the Université catholique de Louvain, Faculté de sciences appliquées.

• Inaugural lecture: Systems theory and physical models, March 24, 2004
• Lecture 1: Open dynamical systems: basic concepts and examples, May 5, 2004
• Lecture 2: Controllability and observability in a new perspective, May 12, 2004
• Lecture 3: Extracting the memory of a systems: state construction, May 19, 2004
• Lecture 4: From data to model: the most powerful unfalsified model, May 26, 2004
• Lecture 5: Interconnection, modelling by tearing and zooming, control, May 28, 2004


• Graduate Course 2004

During the spring of 2004, I participated in the graduate course entitled Analysis of Feedback Systems: Theory and Computation for the Belgian Graduate School in Systems and Control.


• Lecture 1: Dissipative systems
• Lecture 2: More on dissipative systems
• Homework assignments
  


• Minicourse ECC 2003

Minicourse, The Behavioral Approach as a Paradigm for Modelling Interconnected Systems, European Control Conference 2003, Cambridge, UK


• Lecture 1: General ideas (lecturer: J.C. Willems)
• Lecture 2: Linear differential systems, (lecturer: H.L. Trentelman)
• Lecture 3: The elimination problem, (lecturer: J.C. Willems)
• Lecture 4: Controllability and observability, (lecturer: H.L. Trentelman)
• Lecture 5: Modeling by tearing and zooming, (lecturer: J.C. Willems)
• Lecture 6: Interconnection and control, (lecturer: H.L. Trentelman)
• Lecture 7: Dissipative systems, (lecturer: J.C. Willems)
• Lecture 8: Synthesis of dissipative systems, (lecturer: H.L. Trentelman)


• Graduate Course 2002

Mathematical Models of Systems, 18-hour graduate course, Belgian Graduate School in Systems and Control. This course gives an introduction to the behavioral approach to systems modeling, with emphasis on linear systems.


• Outline
• Schedule
• Mathematical background
• Lecture 1:   General Concepts
• Lecture 2:   Linear Differential Systems
• Lecture 3:   Controllability and Observability
• Lecture 4:   Inputs and Outputs
• Lecture 5:   Modeling by Tearing and Zooming
• Lecture 6:   State Space Systems
• Lecture 7:   Balanced State Representations and Model Reduction
• Lecture 8:   Dissipative Systems
• Lecture 9:   Distributed Systems

Exercises. The solutions were prepared with the help of Ivan Markovsky


• Set 1:   Exercise 1: Static linear models;
            Exercise 2: Resistive circuits
            assignment     solutions
• Set 2:   Exercise 1: Time-reversibility;
            Exercise 2: Discrete-time systems
            assignment     solutions
• Set 3:   Exercise 1: Controllability and Interconnection;
            Exercise 2: Moving average
            assignment     solutions
• Set 4:   Exercise 1: Elimination;
            Exercise 2: The image and the kernel of a differential operator
            assignment     solutions
• Set 5:   Exercise 1: Inputs and outputs;
            Exercise 2: Control in a behavioral setting
            assignment     solutions
• Set 6:   Exercise 1: State construction and addition;
            Exercise 2: The Hankel operator in continuous time
            assignment     solutions
• Set 7:   Exercise 1: Matrix norms;
            Exercise 2: Balancing, reduction, and stability
            assignment     solutions
• Set 8:   Exercise 1: Positive realness;
            Exercise 2: Factorization of polynomial matrices
            assignment     solutions
• Set 9:   Exercise 1: Solutions of a PDE;
            Exercise 2: The fundamental principle
            assignment     solutions


• CDC 2000
  
  The Behavioral Approach to Systems and Control, pre-CDC short course, CDC 2000, Sydney, Australia


• Preamble
• Lecture 1: General ideas (lecturer: J.C. Willems)
• Lecture 2: Linear differential systems (lecturer: H.L. Trentelman)
• Lecture 3: State space systems; Algorithmic aspects (lecturer: J.C. Willems)
• Lecture 4: Interconnection and control (lecturer: H.L. Trentelman)
• Lecture 5: QDF's and dissipative systems (lecturer: H.L. Trentelman)
• Lecture 6: Modeling by tearing and zooming (lecturer: J.C. Willems)
• Lecture 7: Synthesis of dissipative systems (lecturer: H.L. Trentelman)
• Lecture 8: Behaviors of distributed systems (lecturer: J.C. Willems)
• References