![](/images/graphics-bg.png)
Optimal Exponential Synchronization of Chaotic Systems with Multiple Time Delays via Fuzzy Control
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-13
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
This study presents an effective approach to realize the optimal H∞ exponential synchronization of multiple time-delay chaotic (MTDC) systems.
First, a neural network (NN) model is employed to approximate the MTDC system.
Then, a linear differential inclusion (LDI) state-space representation is established for the dynamics of the NN model.
Based on this LDI state-space representation, this study proposes a delay-dependent exponential stability criterion of the error system derived in terms of Lyapunov’s direct method to ensure that the trajectories of the slave system can approach those of the master system.
Subsequently, the stability condition of this criterion is reformulated into a linear matrix inequality (LMI).
Based on the LMI, a fuzzy controller is synthesized not only to realize the exponential synchronization but also to achieve the optimal H∞ performance by minimizing the disturbance attenuation level.
Finally, a numerical example with simulations is provided to illustrate the concepts discussed throughout this work.
American Psychological Association (APA)
Hsiao, Feng-Hsiag. 2013. Optimal Exponential Synchronization of Chaotic Systems with Multiple Time Delays via Fuzzy Control. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-495175
Modern Language Association (MLA)
Hsiao, Feng-Hsiag. Optimal Exponential Synchronization of Chaotic Systems with Multiple Time Delays via Fuzzy Control. Abstract and Applied Analysis No. 2013 (2013), pp.1-19.
https://search.emarefa.net/detail/BIM-495175
American Medical Association (AMA)
Hsiao, Feng-Hsiag. Optimal Exponential Synchronization of Chaotic Systems with Multiple Time Delays via Fuzzy Control. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-495175
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495175