5B1822

5B1822 Mathematical Systems Theory (Advanced Course): Geometric systems theory

Examiner and lecturer

Xiaoming Hu (hu@math.kth.se), rum 3712, Lindstedtsv. 25, tel. 790 7180.

Teaching assistant

Christelle Gaillemard (christelle.gaillemard@math.kth.se), rum 3738, Lindstedtsv. 25, tel. 790 7132.

Course contents

The goal of the course is to give students good knowledge about the fundamental results in the geometric systems theory.
For a detailed list of course contents, see What is in the course?

Course material

X. Hu, A. Lindquist et al, Geometric Systems Theory, lecture notes, KTH, 2005, on sale at "Studentexpeditionen".
You can also download here (Postscript files):
Table of contents, Chapter one, Chapter two, Chapter three, Chapter four, Chapter five
Chapter six, Chapter seven, Chapter eight, Appendix and index
Exercise notes 2004 (some minor updates might be made constantly):
Exercise one (November 2)
Exercise two (November 12)
Exercise three (November 19)
Exercise four (November 26)
Exercise five (December 3)
Exercise six (December 8)
Homework 2004:
- Homework 1: pdf (Due November 16, 2004)
- Homework 2: pdf(Due November 29, 2004)
- Homework 3: pdf(Due December 10, 2004)

Course requirements

There are three homework sets that must be completed. The homework questions will be made available to the students around two weeks before the deadline. Successful completion of the homework sets (60% or better) gives grade 3. A written exam (date to be decided) is required for a higher grade.

Homework 2005

Homework 1: pdf (Due November 18, 2005)
Homework 2: pdf (Due December 2, 2005)
Homework 3: pdf (Due December 13, 2005)

Note: The date in parentheses is the last day (before 5 pm) for handing in the written solutions. The homework questions will be made available online about two weeks before the deadline.

Written exam

An optional written exam (for grade higher than 3) will be held on a date in December 2005 decided in class. This will be an open-book exam. The exam will consist of five problems that give maximal 25 points. These problems will be similar in type to those in the homeworks and in the exercises. 22 points will guarantee a grade five and 18 will guarantee a grade four. An old exam and answers can be obtained at Elevexpeditionen, or from the teaching assistant.

Preliminary schedule for 2005/2006

Type	Day	Date	Time	Hall	Topic
F1.	Wed	26/10	10-12	E33	Introduction
F2.	Fri	28/10	15-17	E33	Invariant subspaces
F3.	Mon	31/10	10-12	Q23	Invariant subspaces (cont.)
F4.	Wed	2/11	10-12	Q31	Disturbance decoupling
Ö1.	Thu	3/11	13-15	E33	Linear algebra, invariant subspaces
F5.	Mon	7/11	10-12	M22	Disturbance decoupling, and Zeros
F6.	Wed	9/11	13-15	Q13	Zeros and zero dynamics (cont.)
F7.	Thu	10/11	13-15	M31	Zero dynamics and high gain control
Ö2.	Fri	11/11	15-17	V01	Reachability subspaces, V*-algorithm, zero dynamics
F8.	Mon	14/11	10-12	V23	Noninteracting control and tracking
F9.	Wed	16/11	10-12	L22	Input-output behavior
Ö3.	Fri	18/11	13-15	V12	Applications of zero dynamics
F10.	Mon	21/11	10-12	Q11	Input-output behavior and Output regulation
F11.	Wed	23/11	10-12	Q11	Output regulation (cont.)
Ö4.	Thu	24/11	13-15	Q11	Sylvester equation, Output tracking input, Output regulation
F12.	Mon	28/11	10-12	D35	Nonlinear systems: examples, math preparation
F13.	Wed	30/11	10-12	Q11	Nonlinear systems: controllability, stability
F14.	Thu	1/12	13-15	D35	Nonlinear systems: steady state response (changed )
Ö5.	Mon	5/12	10-12	D35	Nonlinear systems
F15.	Wed	7/12	10-12	Q21	Nonlinear systems: zero dynamics and applications
Ö6.	Fri	9/12	15-17	Q11	Nonlinear control problems

Welcome!

Course information on www: http://www.math.kth.se/optsyst/studinfo/5B1822/5B1822.html.

5B1822 Matematisk systemteori (fk)

Modifierad: 16 oktober 2005 av Xiaoming Hu, hu@math.kth.se.