## 227-0225-00L | ||

Professor(en):M. Kamgarpour |
Betreuer:D. Paccagnan, B.K. Poolla, Y. Stürz, A. Eichler | |

Vorlesung: |
Link zum KurskatalogFall 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. |