Robust synchronisation of chaotic systems with randomly occurring uncertainties via stochastic sampled-data control

Title
Robust synchronisation of chaotic systems with randomly occurring uncertainties via stochastic sampled-data control
Author(s)
박주현S.M. Lee[S.M. Lee]O.M. Kwon[O.M. Kwon]이태희
Keywords
NETWORKED CONTROL-SYSTEMS; TIME-VARYING DELAYS; STATE-FEEDBACK CONTROLLER; HOPFIELD NEURAL-NETWORKS; EXPONENTIAL SYNCHRONIZATION; STABILITY ANALYSIS; MIXED DELAYS; LURE SYSTEMS; STABILIZATION; INEQUALITY
Issue Date
201301
Publisher
TAYLOR & FRANCIS LTD
Citation
INTERNATIONAL JOURNAL OF CONTROL, v.86, no.1, pp.107 - 119
Abstract
This article investigates the robust synchronisation problem for uncertain nonlinear chaotic systems. The norm-bounded uncertainties enter into the chaotic systems in random ways, and such randomly occurring uncertainties (ROUs) obey certain Bernoulli distributed white noise sequences. For this synchronisation problem, the sampled-data controller that has randomly varying sampling intervals is considered. In order to fully use the sawtooth structure characteristic of the sampling input delay, a discontinuous Lyapunov functional is proposed based on the extended Wirtinger inequality. By the Lyapunov stability theory and the linear matrix inequality (LMI) framework, the existence condition for the sample-date controller that guarantees the robust mean-square synchronisation of chaotic systems is derived in terms of LMIs. Finally, in order to show the effectiveness of our result, the proposed method is applied to two numerical examples: one is Chua's chaotic systems and the other is the hyperchaotic Rossler system.
URI
http://hdl.handle.net/YU.REPOSITORY/26806http://dx.doi.org/10.1080/00207179.2012.720034
ISSN
0020-7179
Appears in Collections:
공과대학 > 전기공학과 > Articles
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