Abstract
In this letter, we propose a new passivity-based synchronization method for time-delayed chaotic systems. Based on Lyapunov-Krasovskii theory and linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system for time-delayed chaotic systems not only passive but also asymptotically stable. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. As an application of the proposed method, the synchronization problem for chaotic delayed Hopfield neural networks is investigated.
| Original language | English |
|---|---|
| Pages (from-to) | 3531-3541 |
| Number of pages | 11 |
| Journal | Modern Physics Letters B |
| Volume | 23 |
| Issue number | 29 |
| DOIs | |
| Publication status | Published - 2009 Nov 20 |
| Externally published | Yes |
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Keywords
- Linear matrix inequality (LMI)
- Lyapunov-Krasovskii theory
- Passivity-based synchronization
- Time-delayed chaotic systems
ASJC Scopus subject areas
- Condensed Matter Physics
- Statistical and Nonlinear Physics
Cite this
A passivity approach to synchronization for time-delayed chaotic systems. / Ahn, Choon Ki.
In: Modern Physics Letters B, Vol. 23, No. 29, 20.11.2009, p. 3531-3541.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A passivity approach to synchronization for time-delayed chaotic systems
AU - Ahn, Choon Ki
PY - 2009/11/20
Y1 - 2009/11/20
N2 - In this letter, we propose a new passivity-based synchronization method for time-delayed chaotic systems. Based on Lyapunov-Krasovskii theory and linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system for time-delayed chaotic systems not only passive but also asymptotically stable. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. As an application of the proposed method, the synchronization problem for chaotic delayed Hopfield neural networks is investigated.
AB - In this letter, we propose a new passivity-based synchronization method for time-delayed chaotic systems. Based on Lyapunov-Krasovskii theory and linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system for time-delayed chaotic systems not only passive but also asymptotically stable. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. As an application of the proposed method, the synchronization problem for chaotic delayed Hopfield neural networks is investigated.
KW - Linear matrix inequality (LMI)
KW - Lyapunov-Krasovskii theory
KW - Passivity-based synchronization
KW - Time-delayed chaotic systems
UR - http://www.scopus.com/inward/record.url?scp=71249159713&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=71249159713&partnerID=8YFLogxK
U2 - 10.1142/S0217984909021594
DO - 10.1142/S0217984909021594
M3 - Article
AN - SCOPUS:71249159713
VL - 23
SP - 3531
EP - 3541
JO - Modern Physics Letters B
JF - Modern Physics Letters B
SN - 0217-9849
IS - 29
ER -