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Linear System Theory

M. Kamgarpour
D. Paccagnan, B.K. Poolla, Y. Stürz, A. Eichler
Link zum Kurskatalog
Fall 2016
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.
D-ITET Master, Systems and Control specialization
Recommended Core Courses
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)
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.

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