Abstract
Based on the Lyapunov-Krasovskii theory and the linear matrix inequality (LMI) formulation, this paper proposes a new H∞ anti-synchronization controller for chaotic neural networks with time-varying and distributed delays. The proposed controller can ensure asymptotical anti-synchronization between the drive and the response systems. Furthermore, this controller reduces the effect of external disturbance on the H∞ norm constraint. An existence condition for the controller is derived in terms of LMIs that can be easily solved by using efficient convex optimization algorithms. As an application of the proposed controller, the H∞ anti-synchronization problem for a chaotic Hopfield neural network with time-varying and distributed delays is investigated.
| Original language | English |
|---|---|
| Pages (from-to) | 1-7 |
| Number of pages | 7 |
| Journal | Journal of the Korean Physical Society |
| Volume | 59 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2011 Jul 1 |
| Externally published | Yes |
Fingerprint
Keywords
- Anti-synchronization
- Chaotic neural networks
- Distributed delay
- H∞
- Linear matrix inequality (LMI)
- Lyapunov-Krasovskii theory
- Time-varying delay
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
A note on H∞ anti-synchronization of chaotic neural networks with time-varying and distributed delays. / Ahn, Choon Ki.
In: Journal of the Korean Physical Society, Vol. 59, No. 1, 01.07.2011, p. 1-7.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A note on H∞ anti-synchronization of chaotic neural networks with time-varying and distributed delays
AU - Ahn, Choon Ki
PY - 2011/7/1
Y1 - 2011/7/1
N2 - Based on the Lyapunov-Krasovskii theory and the linear matrix inequality (LMI) formulation, this paper proposes a new H∞ anti-synchronization controller for chaotic neural networks with time-varying and distributed delays. The proposed controller can ensure asymptotical anti-synchronization between the drive and the response systems. Furthermore, this controller reduces the effect of external disturbance on the H∞ norm constraint. An existence condition for the controller is derived in terms of LMIs that can be easily solved by using efficient convex optimization algorithms. As an application of the proposed controller, the H∞ anti-synchronization problem for a chaotic Hopfield neural network with time-varying and distributed delays is investigated.
AB - Based on the Lyapunov-Krasovskii theory and the linear matrix inequality (LMI) formulation, this paper proposes a new H∞ anti-synchronization controller for chaotic neural networks with time-varying and distributed delays. The proposed controller can ensure asymptotical anti-synchronization between the drive and the response systems. Furthermore, this controller reduces the effect of external disturbance on the H∞ norm constraint. An existence condition for the controller is derived in terms of LMIs that can be easily solved by using efficient convex optimization algorithms. As an application of the proposed controller, the H∞ anti-synchronization problem for a chaotic Hopfield neural network with time-varying and distributed delays is investigated.
KW - Anti-synchronization
KW - Chaotic neural networks
KW - Distributed delay
KW - H∞
KW - Linear matrix inequality (LMI)
KW - Lyapunov-Krasovskii theory
KW - Time-varying delay
UR - http://www.scopus.com/inward/record.url?scp=79960603918&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79960603918&partnerID=8YFLogxK
U2 - 10.3938/jkps.59.1
DO - 10.3938/jkps.59.1
M3 - Article
AN - SCOPUS:79960603918
VL - 59
SP - 1
EP - 7
JO - Journal of the Korean Physical Society
JF - Journal of the Korean Physical Society
SN - 0374-4884
IS - 1
ER -