Lectures - Jan C. Willems

2010

• 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, March 29-31, Kyoto, Japan
  In honor of Yutaka Yamamoto on the occasion of his 60th birthday
  
  
• 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
  
  
• A la recherche du temps perdu
  November 13, Symposium Paths Ahead in the Science of Information and Decision Systems,
  session in honor of Sanjoy Mitter on the occasion of his retirement
  
  
• Ports and terminals
  November 9, Seminar, MIT, Cambridge, MA
  
  
• The right connection
  September 18, Symposium Four Decades of Systems and Control Systems and Control, Delft University of Technology,
  in honor of Okko Bosgra on the occasion of his retirement
  
  
• Ports and terminals
  September 9, A Celebration of the Field of Systems and Control, Technisch Universiteit Delft, KTH, Stockholm,
  in honor of Chris Byrnes and Anders Lindquist.
  
  
• Reflections on ARMAX Systems
  June 18, Conference on Econometrics, Time Series Analysis and Systems Theory, Technische Universität Wien, Austria,
  in honor of Manfred Deistler on the occasion of his retirement
  
  
• 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
  December 16, Rolling Waves in Leuven, Conference on the occasion of the 60th birthday of Adhemar Bultheel, K.U. Leuven
  
  
• Quadratic differential forms and high order Lyapunov functions
  December 8, Workshop on occasion of the 70th birthday of Roger W. Brockett, 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
  May 16, Workshop on Analysis and Design of Nonlinear Control Systems, on the occasion of the 65th birthday of Alberto Isidori, 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
  January 7, Workshop on Recent Advances on Control and Learning, on the occasion of the 60th birthday of Mathukumalli Vidyasagar, 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
  October 25, Workshop on Modeling, Identification and Control, Workshop on the occasion of the 65th birthday of Giorgio Picci, Venice, Italy
  
  
• A new look at observers
  August 27, Plenary lecture, Conference on Mathematical Modelling, Automation and Robotics (MMAR), Szczecin, Poland
  
  
• 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?
  October 27, Mathematical Systems Theory: Where are we?, Workshop on the occasion of the 70th birthday of Gianni Marchesini, 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
  April 21, Control of Uncertain Systems, Workshop on the occasion of Keith Glover's 60th birthday, 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
  January 12, Ter gelegenheid van het emeritaat van Jacques Willems, Universiteit Gent

• 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 9 and 2, part of the 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
  
  

• 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
  
  

• 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
  November 16, New Directions in Mathematical Systems Theory and Optimization, Conference on the occasion of the 60th birthday of Anders Lindquist, 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
  
  

• Distributed dissipative systems
  October 19, 2001, System theory day on the occasion of the 60th birthday of Ruth F. Curtain, 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
  March 24, 2001, Kolloquium at the occasion of the 60th birthday of Inge Troch, Vienna
  
  
• Modeling, modularity, and modules
  March 9, 2001, Conference on the occasion of the 70th birthday of Boyd Pearson Houston
  
  
• 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
  
  

• Lecture I:   Models and behaviors (lecturer: J.C. Willems)
• Lecture II:   Linear time-invariant differential systems (lecturer: J.C. Willems)
• Lecture III:   Kernel representations (lecturer: J.C. Willems)
• Lecture IV:   Latent variables (lecturer: J.C. Willems)
• Lecture V:   State and state construction (lecturer: P. Rapisarda)
• Lecture VI: Controllability (lecturer: J.C. Willems)
• Lecture VII: Quadratic and bilinear differential forms (lecturer: P. Rapisarda)
• Lecture VIII: System interconnection (lecturer: J.C. Willems)
• Lecture IX:   Dissipative systems (lecturer: P. Rapisarda)
• Lecture X: Energy flow in systems (lecturer: J.C. Willems)
• Lecture XI: Deterministic identification (lecturer: P. Rapisarda)
• Exercises - part 1
• Exercises - part 2

• 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

• 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

• 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. Markovski)
• Lecture 4:   Linear state space systems and realization theory (lecturer: J.C. Willems)
• Lecture 5:   The most powerful unfalsified model (lecturer: I. Markovski)
• 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. Markovski)
• 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

• 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: variations around the theme of the most powerful unfalsified model, May 26, 2004
• Lecture 5: Interconnection, modelling by tearing and zooming, control, May 28, 2004

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

• 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)

• 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

• 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