Open AccessAdaptive modified function projective synchronization of a class of chaotic systems with uncertainties
Author(s) -
Wu Deng,
Jie Fang,
Zhenjun Wu,
Yanmin Wu
Publication year - 2012
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.61.140503
Subject(s) - computer science , chaotic , control theory (sociology) , synchronization (alternating current) , lyapunov stability , class (philosophy) , controller (irrigation) , synchronization of chaos , lyapunov function , chaotic systems , function (biology) , noise (video) , upper and lower bounds , stability (learning theory) , adaptive control , mathematics , physics , image (mathematics) , control (management) , nonlinear system , artificial intelligence , evolutionary biology , biology , computer network , mathematical analysis , channel (broadcasting) , quantum mechanics , machine learning , agronomy
In this paper, we primarily investigate the adaptive modifying function projective synchronization of a class of chaotic systems with uncertainties. According to the Lyapunov stability theory, the two schemes of obtaining the response system from chaotic system are established, and the controller and the adaptive law are designed. The approach is more robust to noise and external interference, and does not need the upper bound of uncertainties in advance. In addition, it can adjust the system response rapidly by adjusting the accelerated factor. This method is more practical. Numerical simulations of a hyper-chaotic system verify the effectiveness of the proposed method.