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An improved method for estimating the domain of attraction of uncertain nonlinear systems
Cím magyarul: Továbbfejlesztett módszer bizonytalan nemlineáris rendszerek stabilitási tartományának becslésére
Témavezető: Dr. Szederkényi Gábor
A dolgozatban egy optimalizáción alapuló módszer kerül bemutatásra Lyapunov függvények generálására és ezek segítségével történő bizonytalan nemlineáris (polinomiális és racionális tagokat tartalmazó) rendszerek stabilitási tartományának becslésére. A keresett Lyapunov függvény egy speciális kvadratikus alakban adott. A Lyapunov függvény pozitivitása és ennek (a vizsgált dinamikus rendszer megoldásai mentén vett) idő szerinti deriváltjának negativitása lineáris mátrixegyenlőtlenségek (LMI) segítségével biztosítható. Kiindulási pontként egy olyan szakirodalomból vett eljárás szolgált, amelyben a szerzők a lineáris mátrixegyenlőtlenségek konzervativitásának csökkentése érdekében a Finsler lemmát alkalmazták.
A bemutatott eljárásban a saját hozzájárulások és fejlesztések a következőképpen összegezhetők:
A dolgozatban bemutatott eredmények alapján egy nemzetközi folyóiratcikk, két nemzetközi konferenciacikk és egy kutatói beszámoló került publikálásra.
Letölthető dokumentum: OTDK dolgozat