Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 1740-1746 |
| Number of pages | 7 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 53 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - Aug 2008 |
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Keywords
- adaptive synchronization
- generalized Lorenz systems
- adaptive observers
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Adaptive synchronization for generalized Lorenz systems. / Liang, Xiyin; Zhang, Jiangfeng; Xia, Xiaohua.
In: IEEE Transactions on Automatic Control, Vol. 53, No. 7, 08.2008, p. 1740-1746.Research output: Contribution to journal › Article
TY - JOUR
T1 - Adaptive synchronization for generalized Lorenz systems
AU - Liang, Xiyin
AU - Zhang, Jiangfeng
AU - Xia, Xiaohua
PY - 2008/8
Y1 - 2008/8
N2 - In literature it is conjectured that the states of the generalized Lorenz system with an unknown parameter can not be estimated by adaptive observers. In this paper we show that this unknown parameter and the states can actually be estimated simultaneously by some kind of adaptive observer. The proof is obtained by constructing some exponential observer to achieve chaotic synchronization for the generalized Lorenz system. The result implies that more work needs to be done to apply generalized Lorenz system in secure communication.
AB - In literature it is conjectured that the states of the generalized Lorenz system with an unknown parameter can not be estimated by adaptive observers. In this paper we show that this unknown parameter and the states can actually be estimated simultaneously by some kind of adaptive observer. The proof is obtained by constructing some exponential observer to achieve chaotic synchronization for the generalized Lorenz system. The result implies that more work needs to be done to apply generalized Lorenz system in secure communication.
KW - adaptive synchronization
KW - generalized Lorenz systems
KW - adaptive observers
U2 - 10.1109/TAC.2008.928318
DO - 10.1109/TAC.2008.928318
M3 - Article
VL - 53
SP - 1740
EP - 1746
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 7
ER -