Open AccessLag synchronization in uncertain autocatalytic reaction-diffusion chaotic systems
Author(s) -
Ling Lyu,
Yan Li
Publication year - 2009
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.58.131
Subject(s) - control theory (sociology) , synchronization of chaos , synchronization (alternating current) , autocatalysis , computer science , chaotic , synchronizing , controller (irrigation) , lyapunov stability , lag , lyapunov exponent , reaction–diffusion system , diffusion , mathematics , control (management) , physics , computer network , telecommunications , channel (broadcasting) , mathematical analysis , quantum mechanics , transmission (telecommunications) , artificial intelligence , kinetics , agronomy , biology , thermodynamics
A lag synchronization controller is designed to realize synchronization between spatiotemporal chaos systems. The structure of the lag synchronization controller and the error equations of state variables are determined based on Lyapunov stability theory. Autocatalytic reaction-diffusion chaotic system is taken as an example to verify the effectiveness of the controller. The parameter identifier is further designed to provide effective identification of the parameters in the uncertain autocatalytic reaction-diffusion chaotic system. The method is proved to have better performance in anti-jamming by studying the synchronizing effect under bounded noise.