227-0225-00L Linear System Theory
|Semester||Autumn Semester 2016|
|Periodicity||yearly recurring course|
|Language of instruction||English|
|Abstract||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.|
|Objective||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.|
|Content||- 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.
|Lecture notes||F.M. Callier and C.A. Desoer, "Linear System Theory", Springer-Verlag, 1991.|
|Prerequisites / Notice||Prerequisites: Control Systems I (227-0103-00) or equivalent and sufficient mathematical maturity.|