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Analýza a řízení globálně dekomponovaných silně nelineárních stavových dynamických modelů se složitými interakcemi jejich komponent

Agentura: 
GACR
Identifikační číslo: 
GA13-20433S
Zahájení: 
01.01.2013
Ukončení: 
31.12.2016
Zaměření projektu.: 
teoretický
Typ projektu (EU): 
other
Abstrakt: 
Project deals with novel advanced methods for global analysis and control design for decomposed strongly nonlinear state space dynamical models with complex interactions of their components. Focus will be made on multivalued uncertain dynamical systems, especially the multivalued systems class that might be called as the "systems of systems". The aim is to investigate the chaotic behavior of particular subsystems and their mutual interactions, special stress would be made on case when their boundary varies with time. Further, global analysis of the solution set would be provided, depending on real system parameters and eventually on control variable. Principal approach here is based on structural methods, nonlinear transformations and decompositions into particular, though complex interconnected systems. Topological Morse decomposition and the multivalued Conley index theory will be used for the corresponding global analysis. Results may serve as a basis for further development of numerical algorithms for practical problems in important areas like systems biology.
Publikace ÚTIA: 
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celikovsky: 18.01.2016 - 15:51