TY - JOUR
T1 - An H∞ approach to anti-synchronization for chaotic systems
AU - Ahn, Choon Ki
N1 - Funding Information:
This Letter was supported by Wonkwang University in 2009.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2009/4/27
Y1 - 2009/4/27
N2 - In this Letter, we propose a new H∞ anti-synchronization scheme for a general class of chaotic systems. Based on Lyapunov theory and linear matrix inequality (LMI) approach, for the first time, the H ∞ antisynchronization controller is presented to not only guarantee stable anti-synchronization but also reduce the effect of external disturbance to an H∞ norm constraint. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation study is presented to demonstrate the effectiveness of the proposed anti-synchronization scheme.
AB - In this Letter, we propose a new H∞ anti-synchronization scheme for a general class of chaotic systems. Based on Lyapunov theory and linear matrix inequality (LMI) approach, for the first time, the H ∞ antisynchronization controller is presented to not only guarantee stable anti-synchronization but also reduce the effect of external disturbance to an H∞ norm constraint. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation study is presented to demonstrate the effectiveness of the proposed anti-synchronization scheme.
KW - Chaotic systems
KW - Linear matrix inequality (LMI)
KW - Lyapunov theory
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U2 - 10.1016/j.physleta.2009.03.032
DO - 10.1016/j.physleta.2009.03.032
M3 - Article
AN - SCOPUS:72249086058
SN - 0375-9601
VL - 373
SP - 1729
EP - 1733
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 20
ER -