# Mathematical Control Theory, 7.5 ECTS

Second level## Facts

No available facts**Course code**MM8016

## Syllabus

## Description

The focuses of the course lie on deterministic finite dimensional systems with emphasis on a systematic treatment of the core of control theory: the algebraic theory of linear systems including controllability, observability, feedback equivalence and minimality; stability via Lyapunov as well as input/output methods; ideas of optimal control; observer and dynamics feedback, parametrization of stabilizing controllers; and some very basic facts about frequency domain such as the Nyquist criterion.

## Area of interests: Information only in Swedish

## Subject

### Mathematics

As a mathematical theory always implies that certain conclusions hold under certain given conditions, it can in principle say nothing about the physical reality. None the less mathematics has become an indispensable tool for a large number of subjects like astronomy, physics, chemistry, statistics and the technical sciences and in later times also for economy, biology, various social sciences and computor science. The role of mathematics in the applied sciences is both to supply notions for exact and adequate formulations of empirical laws but also from these laws to derive consequences, which can be used to find better models of the reality one has to describe. These tasks have lately become more important. Mathematics is in continual progress by intensive international research, new theories are created and already existing theories are simplified and augmented.