Počet záznamů: 1
Providing a Basin of Attraction to a Target Region of Polynomial Systems by Computation of Lyapunov-Like Functions
- 1.
SYSNO ASEP 0351298 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Providing a Basin of Attraction to a Target Region of Polynomial Systems by Computation of Lyapunov-Like Functions Tvůrce(i) Ratschan, Stefan (UIVT-O) SAI, RID, ORCID
She, Z. (CN)Zdroj.dok. SIAM Journal on Control and Optimization. - : SIAM Society for Industrial and Applied Mathematics - ISSN 0363-0129
Roč. 48, č. 7 (2010), s. 4377-4394Poč.str. 18 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova basin of attraction ; stability ; constraint solving ; interval computation ; algorithms Vědní obor RIV IN - Informatika CEP GC201/08/J020 GA ČR - Grantová agentura ČR CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000281673500009 EID SCOPUS 77958536851 DOI 10.1137/090749955 Anotace In this paper, we present a method for computing a basin of attraction to a target region for polynomial ordinary differential equations. This basin of attraction is ensured by a Lyapunov-like polynomial function that we compute using an interval based branch-and-relax algorithm. This algorithm relaxes the necessary conditions on the coefficients of the Lyapunov-like function to a system of linear interval inequalities that can then be solved exactly. It iteratively refines these relaxations in order to ensure that, whenever a nondegenerate solution exists, it will eventually be found by the algorithm. Application of an implementation to a range of benchmark problems shows the usefulness of the approach. Pracoviště Ústav informatiky Kontakt Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Rok sběru 2011
Počet záznamů: 1