Structure Identification of Uncertain Complex Networks Based on Anticipatory Projective Synchronization.
This paper investigates a method to identify uncertain system parameters and unknown topological structure in general complex networks with or without time delay. A complex network, which has uncertain topology and unknown parameters, is designed as a drive network, and a known response complex netw...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2015-01-01
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| Series: | PLoS ONE |
| Online Access: | http://europepmc.org/articles/PMC4596856?pdf=render |
| _version_ | 1828192287588352000 |
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| author | Liu Heng Wang Xingyuan Tan Guozhen |
| author_facet | Liu Heng Wang Xingyuan Tan Guozhen |
| author_sort | Liu Heng |
| collection | DOAJ |
| description | This paper investigates a method to identify uncertain system parameters and unknown topological structure in general complex networks with or without time delay. A complex network, which has uncertain topology and unknown parameters, is designed as a drive network, and a known response complex network with an input controller is designed to identify the drive network. Under the proposed input controller, the drive network and the response network can achieve anticipatory projective synchronization when the system is steady. Lyapunov theorem and Barbǎlat's lemma guarantee the stability of synchronization manifold between two networks. When the synchronization is achieved, the system parameters and topology in response network can be changed to equal with the parameters and topology in drive network. A numerical example is given to show the effectiveness of the proposed method. |
| first_indexed | 2024-04-12T08:52:17Z |
| format | Article |
| id | doaj.art-01989901a17e4968be68c6a779225689 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-04-12T08:52:17Z |
| publishDate | 2015-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-01989901a17e4968be68c6a7792256892022-12-22T03:39:31ZengPublic Library of Science (PLoS)PLoS ONE1932-62032015-01-011010e013980410.1371/journal.pone.0139804Structure Identification of Uncertain Complex Networks Based on Anticipatory Projective Synchronization.Liu HengWang XingyuanTan GuozhenThis paper investigates a method to identify uncertain system parameters and unknown topological structure in general complex networks with or without time delay. A complex network, which has uncertain topology and unknown parameters, is designed as a drive network, and a known response complex network with an input controller is designed to identify the drive network. Under the proposed input controller, the drive network and the response network can achieve anticipatory projective synchronization when the system is steady. Lyapunov theorem and Barbǎlat's lemma guarantee the stability of synchronization manifold between two networks. When the synchronization is achieved, the system parameters and topology in response network can be changed to equal with the parameters and topology in drive network. A numerical example is given to show the effectiveness of the proposed method.http://europepmc.org/articles/PMC4596856?pdf=render |
| spellingShingle | Liu Heng Wang Xingyuan Tan Guozhen Structure Identification of Uncertain Complex Networks Based on Anticipatory Projective Synchronization. PLoS ONE |
| title | Structure Identification of Uncertain Complex Networks Based on Anticipatory Projective Synchronization. |
| title_full | Structure Identification of Uncertain Complex Networks Based on Anticipatory Projective Synchronization. |
| title_fullStr | Structure Identification of Uncertain Complex Networks Based on Anticipatory Projective Synchronization. |
| title_full_unstemmed | Structure Identification of Uncertain Complex Networks Based on Anticipatory Projective Synchronization. |
| title_short | Structure Identification of Uncertain Complex Networks Based on Anticipatory Projective Synchronization. |
| title_sort | structure identification of uncertain complex networks based on anticipatory projective synchronization |
| url | http://europepmc.org/articles/PMC4596856?pdf=render |
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