Anastasios Tsiamis: Catalogue data in Autumn Semester 2022

Name Dr. Anastasios Tsiamis
Professur Control and Computation
ETH Zürich, ETL K 22.3
Physikstrasse 3
8092 Zürich
Telephone+41 44 632 44 73
DepartmentInformation Technology and Electrical Engineering

227-0225-00LLinear System Theory6 credits5GJ. Lygeros, A. Tsiamis
AbstractThe class is intended to provide a comprehensive overview of the theory of linear dynamical systems, stability analysis, and their use in control and estimation. The focus is on the mathematics behind the physical properties of these systems and on understanding and constructing proofs of properties of linear control systems.
ObjectiveStudents should be able to apply the fundamental results in linear system theory to analyze and control linear dynamical systems.
Content- Proof techniques and practices.
- Linear spaces, normed linear spaces and Hilbert 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, duality. Time invariant systems treated as a special case.
- Stability and stabilization, observers, state and output feedback, separation principle.
Lecture notesAvailable on the course Moodle platform.
Prerequisites / NoticeSufficient mathematical maturity, in particular in linear algebra, analysis.
Subject-specific CompetenciesConcepts and Theoriesassessed
Techniques and Technologiesassessed
Method-specific CompetenciesAnalytical Competenciesassessed
Personal CompetenciesCreative Thinkingfostered
Critical Thinkingfostered
Integrity and Work Ethicsfostered