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Sliding Mode Control in Finite Time Stabilization for Synchronization of Chaotic Systems
Author(s) -
Zhanshan Zhao,
Jing Zhang,
Liankun Sun
Publication year - 2013
Publication title -
isrn applied mathematics
Language(s) - English
Resource type - Journals
eISSN - 2090-5572
pISSN - 2090-5564
DOI - 10.1155/2013/320180
Subject(s) - control theory (sociology) , synchronization (alternating current) , lyapunov stability , integral sliding mode , synchronization of chaos , manifold (fluid mechanics) , sliding mode control , chaotic , homogeneity (statistics) , controller (irrigation) , chaotic systems , mode (computer interface) , computer science , upper and lower bounds , adaptive control , mathematics , control (management) , topology (electrical circuits) , engineering , nonlinear system , physics , artificial intelligence , mathematical analysis , biology , operating system , quantum mechanics , machine learning , agronomy , mechanical engineering , combinatorics
An adaptive sliding mode control for chaotic systems synchronization is considered. The design of robust finite time convergent controller is based on geometric homogeneity and integral sliding mode manifold. The knowledge of the upper bound of the system uncertainties is not prior required. The chaos synchronization is presented to system stability based on the Lyapunov stability theory. The simulation results show the effectiveness of the proposed method.

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