28. 1. 2020  17:14 Alfonz
Akademický informačný systém

Sylabus predmetu TZLS06_6D - Complex System Theory (MTF - 2020/2021 - post-graduate studies)


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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Materials Science and Technology in Trnava
Course unit code: TZLS06_6D
Course unit title: Complex System Theory
Mode of delivery, planned learning activities and teaching methods:

 
Credits allocated: 10
 
Recommended semester/trimester: -- item not defined --
Level of study: -- item not defined --
Prerequisites for registration: none
 
Assesment methods:
individual work
 
Learning outcomes of the course unit:
To learn mathematical description of complex systems decomposed into subsystems, which include interactions. To acquire the basic theory of special matrices and methods of aggregation. To handle the principles of decomposition of complex systems, analysis of their stability using Lyapunov stability theory including aggregation systems.
 
Course contents:
• Non-linear complex systems, mathematical description in the shape of subsystems and interactions between them
• Special matrices (Minkowski, Metzler) and their use for analysis of complex systems.
• Estimation of eigenvalues of aggregation matrices, estimation of border interactions
• Principles of decomposition and aggregation of systems
• The direct Lyapunov method
• Stability analysis of complex nonlinear systems by the method of vector Lyapunov function
 
Recommended or required reading:
Basic:
BÍZIK, J. -- MUDRONČÍK, D. Teória veľkých systémov. Bratislava : SVŠT v Bratislave, 1988. 101 p.

 
Language of instruction: -- item not defined --
 
Notes:
 
Courses evaluation:
Assessed students in total: 21

PN
100,0 %0 %
Name of lecturer(s): prof. Ing. Pavol Tanuška, PhD. (person responsible for course) - slovak
 
Last modification: 11. 9. 2019
Supervisor: prof. Ing. Pavol Tanuška, PhD. and programme supervisor


Last modification made by Ing. Erika Kuracinová on 09/11/2019.

Typ výstupu: