MAT-62506 Linear Systems, 5 cr
Additional information
Suitable for postgraduate studies.
The implementation will not be executed during the academic year 2018-2019.
Person responsible
Lassi Paunonen
Lessons
Implementation | Period | Person responsible | Requirements |
MAT-62506 2018-01 | - |
Lassi Paunonen |
Learning Outcomes
The course covers the basic theory of linear, time invariant dynamical systems from the time-domain and frequency-domain point of view. Topics covered include controllability, observability, stabilization, and optimal control. The first half of the course concentrates on control of finite-dimensional systems and the second half on control infinite-dimensional linear systems. The theory is illustrated with examples involving controlled ordinary and partial differential equations, most notably controlled mechanical systems, groups of moving robots, as well as controlled heat, diffusion and vibration processes. Matlab is used to approximate and simulate the control systems.
Prerequisites
Course | Mandatory/Advisable | Description |
MAT-60100 Kompleksimuuttujan funktiot | Advisable | 1 |
MAT-60106 Complex Analysis | Advisable | 1 |
MAT-60000 Matriisilaskenta | Mandatory | 2 |
MAT-60006 Matrix Algebra | Mandatory | 2 |
MAT-60206 Mathematical Analysis | Advisable | |
MAT-61006 Introduction to Functional Analysis | Advisable |
1 . MAT-60100 Kompleksimuuttujan funktiot or MAT-60106 Complex Analysis
2 . MAT-60000 Matriisilaskenta or MAT-60006 Matrix Algebra
Correspondence of content
Course | Corresponds course | Description |
MAT-62506 Linear Systems, 5 cr | MAT-62507 Mathematical Control Theory, 5 cr |