Open AccessA finite-time stable theorem about fractional systems and finite-time synchronizing fractional super chaotic Lorenz systems
Author(s) -
Lanhao Zhao,
Jinbo Hu,
Bao Zhi-Hua,
Guoan Zhang,
Chen Xu,
Shibing Zhang
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.100507
Subject(s) - synchronizing , fractional calculus , lorenz system , chaotic , chaotic systems , mathematics , mathematical analysis , computer science , topology (electrical circuits) , attractor , combinatorics , artificial intelligence
Finite-time stable theorem about fractional system and finite-time synchronizing fractional chaotic system are studied in this paper. A finite-time stable theorem is proposed and proved according to the properties of fractional equation. Using this theorem, fractional super chaotic Lorenz systems is synchronized in finite-time. Numerical simulation certifies the effectiveness of the theorem proposed in this paper.