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Synchronization of the Coupled Distributed Parameter System with Time Delay via Proportional-Spatial Derivative Control
Joint Authors
Cao, Jinde
Yuan, Kun
Elaiw, A. M.
Alofi, Abdulaziz
al-Mazrooei, Abdullah E.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-16
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
By combining parabolic partial differential equation (PDE) theory with Lyapunov technique, the synchronization is studied for a class of coupled distributed parameter systems (DPS) described by PDEs.
First, based on Kronecker product and Lyapunov functional, some easy-to-test sufficient condition is given to ensure the synchronization of coupled DPS with time delay.
Secondly, in the case that the whole coupled system cannot synchronize by itself, the proportional-spatial derivative (P-sD) state feedback controller is designed and applied to force the network to synchronize.
The sufficient condition on the existence of synchronization controller is given in terms of a set of linear matrix inequalities.
Finally, the effectiveness of the proposed control design methodology is demonstrated in numerical simulations.
American Psychological Association (APA)
Yuan, Kun& Alofi, Abdulaziz& Cao, Jinde& al-Mazrooei, Abdullah E.& Elaiw, A. M.. 2014. Synchronization of the Coupled Distributed Parameter System with Time Delay via Proportional-Spatial Derivative Control. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-470624
Modern Language Association (MLA)
Yuan, Kun…[et al.]. Synchronization of the Coupled Distributed Parameter System with Time Delay via Proportional-Spatial Derivative Control. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-470624
American Medical Association (AMA)
Yuan, Kun& Alofi, Abdulaziz& Cao, Jinde& al-Mazrooei, Abdullah E.& Elaiw, A. M.. Synchronization of the Coupled Distributed Parameter System with Time Delay via Proportional-Spatial Derivative Control. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-470624
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470624