Přejít k hlavnímu obsahu
top

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

Zahájení
Ukončení
Agentura
GACR
Identifikační číslo
GA13-20433S
Zaměření projektu.
teoretický
Oblast výzkumu
Typ projektu (EU)
other
Publikace ÚTIA
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.
Napsal uživatel celikovsky dne