1. komponenta

Lecture type	Total
Lectures	45

* Load is given in academic hour (1 academic hour = 45 minutes)

COURSE AIMS AND OBJECTIVES:
The aim of the course is to introduce students to elements of complex analysis and matrix theory which are used in linear systems theory and optimal control.

COURSE DESCRIPTION AND SYLLABUS:
1. Laplace transform and Hardy spaces. (8 hours)
2. Matrix functions. (8 hours)
3. Lyapunov equation. (6 hours)
4. Riccati equation. (8 hours)
5. Disipative dynamocal systems. (4 hours)
6. Linear matrix inequalities. (6 hours)
7. Hankel singular values. (4 hours)
8. Nehari problem. (4 hours)
9. Structured singular values. (4 hours)

1. The theory of matrices, 2nd edition, P. Lancaster, M. Tismenetsky, Computer Science and Applied Mathematics, Academic Press, 1985.
2. A Course in Robust Control Theory, G. E. Dullerud, F. Paganini, Springer Verlag, 2000.
3. Matrix analysis, R. Bhatia, Springer Verlag, 1997.
4. Hardy classes and operator theory, M. Rosenblum, J. Rovnyak, Oxford University Press, 1985.
5. Algebraic Riccati equations, P. Lancaster, L. Rodman, Oxford Science Publications, The Clarendon Press, Oxford University Press, 1995.
6. Linear Matrix Inequalities in Control, C. Scherer, S. Weiland, DISC Course, 2002.
7. Linear matrix inequalities in system and control theory, S. Boyd , L. El Ghaoui, E. Feron, V. Balakrishnan, SIAM, 1994.

Izborni modul Teorija upravljanja - Regular study - Applied Mathematics

Izborni modul Teorija upravljanja - Regular study - Applied Mathematics

Izborni modul Teorija upravljanja - Regular study - Applied Mathematics

Izborni modul Teorija upravljanja - Regular study - Applied Mathematics