MULTIVARIATE SYSTEMS THEORY
| Title | ΘΕΩΡΙΑ ΠΟΛΥΜΕΤΑΒΛΗΤΩΝ ΣΥΣΤΗΜΑΤΩΝ / MULTIVARIATE SYSTEMS THEORY |
| Code | ΣΜΥ032 |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 2nd / Postgraduate |
| Teaching Period | Winter/Spring |
| Coordinator | Nikolaos Karampetakis |
| Common | Yes |
| Status | Active |
| Course ID | 600025968 |
Programme of Study: PMS Tmīmatos Mathīmatikṓn (2025-2030)
Registered students: 0
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| STATISTIKĪ, MONTELOPOIĪSĪ KAI YPOLOGISTIKES METHODOI | Elective Courses belonging to the selected specialization | Spring | - | 10 |
| Academic Year | 2025 – 2026 |
| Class Period | Spring |
| Faculty Instructors | |
| Weekly Hours | 3 |
| Total Hours | 39 |
| Class ID | 600268441
|
Course Type 2021
Specialization / Direction
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600268441
Language of Instruction
- Greek (Instruction, Examination)
General Competences
- Apply knowledge in practice
- Work autonomously
- Work in teams
- Generate new research ideas
- Advance free, creative and causative thinking
Course Content (Syllabus)
Real rational vector spaces and rational matrices - polynomial matrix
models of linear multivariable systems - pole and zero structure of rational matrices
at infinity - dynamics of polynomial matrix models - proper and Ω-stable rational
functions and matrices - feedback system stability and stabilization - some
algebraic design problems.
Educational Material Types
- Notes
- Slide presentations
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Course Teaching
- Use of ICT in Communication with Students
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 39 | ||||
| Reading Assigment | 258 | ||||
| Exams | 3 | ||||
| Total | 300 |
Student Assessment
Student Assessment methods
- Written Assignment (Summative)
- Performance / Staging (Summative)
- Written Exam with Problem Solving (Formative)
- Labortatory Assignment (Formative)
Bibliography
Additional bibliography for study
1. Callier F.M. and C.A. Desoer (1982). Multivariable Feedback Systems. Springer.
2. Gohberg I., P. Lancaster and L. Rodman (1982). Matrix Polynomials. Academic Press; New York.
3. A.I.G. Vardulakis, (1991), Linear Multivariable Control : Algebraic Analysis and Synthesis Methods, John Wiley and Sons.
Last Update
05-12-2024
