Vrije Universiteit - Divisie Wiskunde en Informatica
/Free University - Division Mathematics and Informatics
Course Mathematical Control and System Theory
Course guide
Welcome to this page!
Contents of this page
Dates and times:
Fridays 6 September through 18 October and
1 November through 6 December 2002, 13:45 - 16:30 hours
Room R2.39, Building WN, Vrije Universiteit
Andre Ran (Lecturer)
Jan H. van Schuppen (Lecturer)
Andre Ran (lecturer)
Office WN-R3.45.
Divisie Wiskunde en Informatica, Faculteit Exacte Wetenschappen,
Vrije Universiteit, De Boelelaan 1081a, 1081 HV Amsterdam/
Department of Mathematics and Informatics, Faculty of Exact Sciences,
Free University, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands
Tel. +31 20 444 7691
Fax +31 20 444 7653
Email ran@cs.vu.nl
Jan H. van Schuppen (Lecturer)
Office WN-R2.50.a.
JHvS is present at the Vrije Universiteit only on Fridays.
He can be reached at CWI on the other weekdays.
Divisie Wiskunde en Informatica, Faculteit Exacte Wetenschappen,
Vrije Universiteit, De Boelelaan 1081a, 1081 HV Amsterdam/
Department of Mathematics and Informatics, Faculty of Exact Sciences,
Free University, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands
Tel. +31 20 444 7683 (VU, Fridays)
Tel. +31 20 592 4085 (CWI, Mo.-Th.)
Fax +31 20 444 7653
Email schuppen@cs.vu.nl and J.H.van.Schuppen@cwi.nl
The aim of the course is to provide an introduction for
mathematically interested students to
control and system theory for deterministic dynamic systems.
Both linear and nonlinear dynamic systems in finite-dimensional
vector spaces will be treated in an integrated manner.
Concepts and theorems of control and system theory are used
for control and signal processing problems
which arise in engineering, physics, biology, economics,
and mathematical finance.
Knowledge of linear algebra and differential equations is recommended.
Knowledge of the course Mathematical System Theory (WD031)
or equivalent is useful but not required.
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Lecture 1.
Dynamic systems: Linear systems (Sep. 6).
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Lecture 2.
Dynamic systems: Linear systems. (Sep. 13).
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Lecture 3.
Dynamic systems: Nonlinear systems (Sep. 20).
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Lecture 4.
Realization theory: Linear systems
(Sep. 27).
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Lecture 5.
Realization theory: Linear systems
(Oct. 4).
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Lecture 6.
Realization theory: Linear systems
(Oct. 11).
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Lecture 7.
Control with complete observations: Linear systems
(Oct. 18).
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Lecture 8.
Control: Linear systems
(Nov.1).
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Lecture 9.
Control: Nonlinear systems
(Nov. 8).
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Lecture 10.
Observers: Linear systems
(Nov. 15).
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Lecture 11.
Control with partial observations: Linear systems
(Nov. 22).
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Lecture 12.
Control with partial observations: Linear systems
(Nov. 29).
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Lecture 13.
Control with partial observations: Nonlinear systems
(Dec. 6).
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Written exam
-
Homeworksets with exercises.
Weekly homeworksets will be handed out in class every week.
Solutions to homeworksets are due at the lecturer one week after
they have been handed out but contact the lecturer
in case you cannot meet this due date.
-
The course grade is based for 70% on the written exam
and for the other 30% on the solutions to homeworksets.
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Course guide. This page at
http://www.cwi.nl/~schuppen/courses/vumath/mathcontrol2002/courseguide.html
-
Weekly notes with information on the topics covered,
and advised and optional reading suggestions,
are provided on the web, see the links below.
The main references are the books by Trentelman etal.
for linear systems and that by H.K. Khalil for nonlinear systems.
References for linear systems.
-
F.M. Callier, C.A. Desoer, Linear system theory,
Springer, New York, 1991.
-
D.G. Luenberger, Introduction to dynamic systems,
John Wiley and Sons, New York, 1979.
-
H.L. Trentelman, A.A. Stoorvogel, M. Hautus,
Control theory for linear systems, Springer, London, 2001.
References for nonlinear systems
-
H.K. Khalil, Nonlinear systems, Prentice-Hall, Upper Saddle River,
2002.
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S. Sastry, Nonlinear systems - Analysis, stability, and control,
Springer, New York, 1999.
-
E.D. Sontag, Mathematical control theory (2nd Ed.), Springer,
New York, 1998.
-
M. Vidyasagar, Nonlinear systems analysis (2nd Ed.),
Prentice-Hall, Englewood Cliffs, 1993.
Last update 3 December 2002.
This page is maintained by
Jan H. van Schuppen.