Open AccessParameter identification of generalized Julia sets
Author(s) -
Jie Sun,
Shutang Liu,
Qiao Wei
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.60.070510
Subject(s) - julia set , controller (irrigation) , identification (biology) , computer science , set (abstract data type) , synchronization (alternating current) , nonlinear system , discretization , control theory (sociology) , range (aeronautics) , adaptive control , class (philosophy) , mathematics , control (management) , artificial intelligence , mathematical analysis , physics , telecommunications , channel (broadcasting) , botany , materials science , quantum mechanics , agronomy , composite material , biology , programming language
In this paper, a class of wide range Julia set of parameter identification problem is investigated. Based on the nonlinear feedback controller and the discretized equation theory, the designed generally applicable adaptive synchronization controller and the parameter adaptive law are obtained, and it is proved that the designed controller of generalized Julia set can achieve the synchronization. Moreover, it can identify the unknown parameters of the generalized Julia set. Particularly, the parameter identification of the basic form of Julia set is discussed in the paper.