# 227-0225-00L Linear System Theory

Semester | Autumn Semester 2016 |

Lecturers | M. Kamgarpour |

Periodicity | yearly 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. |