Functional Analysis in System Theory (2013)


Last change

Lectures: at MH building

HT 1: Thursdays 13-15 at MH:333
HT 2: Tuesdays 10-12 at MH:333/MH:332A

05/9
Lecture 1 24/10
Lecture 8
12/9
Lecture 2 29/10
Lecture 9
19/9
Lecture 3 05/11
Lecture 10
26/9
Lecture 4 12/11
Lecture 11 (MH:332A)
03/10
Lecture 5 19/11
Lecture 12
10/10
Lecture 6 26/11
Lecture 13 (MH:332A)
17/10
Lecture 7 03/12
Lecture 14

Exercises: at MH-building

HT 1: Thurdays 10-12 at MH:333 (except for the last one)
HT 2: Mondays 13-15 at MH:333

09/9
Exercise 1
28/10
Exercise 8 (Office hours)
19/9
Exercise 2
04/11
Exercise 9
26/9
Exercise 3 11/11
Exercise 10
3/10
Exercise 4
18/11
Exercise 11
10/10
Exercise 5 with Hints
25/11
Exercise 12
17/10
Exercise 6
02/12
Exercise 13 with Hints
24/10
Exercise 7 with Hints 09/12
Exercise 14: solve all unsolved problems

Literature: (available at http://bib.tiera.ru/ in PDF or DVJU formats)

[1] Morrison, Functional Analysis. An Introduction to Banach Space Theory, Wiley 2000.
[2] Kolmogorov, Fomin, Elements of the Theory of Functions and Functional Analysis, Graylock 1963, Vol. 1 and 2.
[3] Rudin, Functional Analysis, MGH 1991.
[4] Dunford, Schwartz, Linear Operators, Interscience 1958, Part 1, 2, 3.
[5] Lax, Functional Analysis, Wiley 2002.
[6] Luenberger, Optimization by Vector Space Methods, Wiley 1969.

[7] Leigh, Functional Analysis and Linear Control Theory, AP 1980.
[8] Partington, Linear Operators and Linear Systems. An Analytical Approach to Control Theory, CUP 2004.
[9] Frazho, Bhosri, An Operator Perspective on Signals and Systems, Birkhauser 2010.

[10] Minimax Theorem