Abstract
The adaptive dual synchronization problem of chaotic and hyperchaotic systems with fully uncertain parameters is addressed in this paper. The sufficient conditions for achieving the dual synchronization of two chaotic and hyperchaotic systems are derived based on Lyapunov stability theory. An adaptive controller associated with the parameters update rule is developed to make the states of two chaotic and hyperchaotic systems asymptotically dual synchronized. Theoretical analysis and numerical simulations are shown to verify the results.
| Original language | English |
|---|---|
| Pages (from-to) | 7852-7864 |
| Number of pages | 13 |
| Journal | Optik |
| Volume | 127 |
| Issue number | 19 |
| DOIs | |
| Publication status | Published - 1 Oct 2016 |
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Keywords
- Adaptive control
- Dual synchronization
- Lyapunov stability theory
- Uncertain parameters
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Electrical and Electronic Engineering
- Atomic and Molecular Physics, and Optics
Cite this
Adaptive dual synchronization of chaotic and hyperchaotic systems with fully uncertain parameters. / Almatroud Othman, A.; Md. Noorani, Mohd. Salmi; Al-sawalha, M. Mossa.
In: Optik, Vol. 127, No. 19, 01.10.2016, p. 7852-7864.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Adaptive dual synchronization of chaotic and hyperchaotic systems with fully uncertain parameters
AU - Almatroud Othman, A.
AU - Md. Noorani, Mohd. Salmi
AU - Al-sawalha, M. Mossa
PY - 2016/10/1
Y1 - 2016/10/1
N2 - The adaptive dual synchronization problem of chaotic and hyperchaotic systems with fully uncertain parameters is addressed in this paper. The sufficient conditions for achieving the dual synchronization of two chaotic and hyperchaotic systems are derived based on Lyapunov stability theory. An adaptive controller associated with the parameters update rule is developed to make the states of two chaotic and hyperchaotic systems asymptotically dual synchronized. Theoretical analysis and numerical simulations are shown to verify the results.
AB - The adaptive dual synchronization problem of chaotic and hyperchaotic systems with fully uncertain parameters is addressed in this paper. The sufficient conditions for achieving the dual synchronization of two chaotic and hyperchaotic systems are derived based on Lyapunov stability theory. An adaptive controller associated with the parameters update rule is developed to make the states of two chaotic and hyperchaotic systems asymptotically dual synchronized. Theoretical analysis and numerical simulations are shown to verify the results.
KW - Adaptive control
KW - Dual synchronization
KW - Lyapunov stability theory
KW - Uncertain parameters
UR - http://www.scopus.com/inward/record.url?scp=84976592513&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84976592513&partnerID=8YFLogxK
U2 - 10.1016/j.ijleo.2016.05.139
DO - 10.1016/j.ijleo.2016.05.139
M3 - Article
VL - 127
SP - 7852
EP - 7864
JO - Optik
JF - Optik
SN - 0030-4026
IS - 19
ER -