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227-0225-00L
Linear System Theory

Professor(en):
M. Kamgarpour
Betreuer:
D. Paccagnan, B.K. Poolla, Y. Stürz, A. Eichler
Vorlesung:
Link zum Kurskatalog
Fall 2016
Webseite:
http://control.ee.ethz.ch/~ifalst/
Ziele:
By the end of the class students should be comfortable with the fundamental results in linear system theory and the mathematical tools used to derive them.
Vorlesungslevel:
D-ITET Master, Systems and Control specialization
Recommended Core Courses
Voraussetzungen:
Control systems (227-0216-00L or equivalent) and sufficient mathematical maturity.

Offered in:
• Doctoral and postdoctoral studies, Doctoral School C3
• D-ITET Masters
• D-MAVT Masters (discussion pending)
Inhalt:
The class is intended to provide a comprehensive overview of the theory of linear dynamical systems, their use in control, filtering, and estimation and their applications to areas ranging from avionics to systems biology.

• Rings, fields and linear spaces, normed linear spaces and inner product spaces.
• Ordinary differential equations, existence and uniqueness of solutions.
• Continuous and discrete time, time varying linear systems. Time domain solutions. Time invariant systems treated as a special case.
• Controllability and observability, canonical forms, Kalman decomposition. Time invariant systems treated as a special case.
• Stability and stabilization, observers, state and output feedback, separation principle.
• Realization theory.

The exercise sessions will be announced in the class.
Dokumentation:

F.M. Callier and C.A. Desoer, “Linear System Theory”, Springer-Verlag, 1991.