Topology Identification of Time-Scales Complex Networks
This paper studies a topology identification problem of complex networks with dynamics on different time scales. Using the adaptive synchronization method, some criteria for a successful estimation are obtained. In particular, by regulating the original network to synchronize with an auxiliary chaot...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/10/1755 |
| _version_ | 1797498147733241856 |
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| author | Yong Pei Churong Chen Dechang Pi |
| author_facet | Yong Pei Churong Chen Dechang Pi |
| author_sort | Yong Pei |
| collection | DOAJ |
| description | This paper studies a topology identification problem of complex networks with dynamics on different time scales. Using the adaptive synchronization method, some criteria for a successful estimation are obtained. In particular, by regulating the original network to synchronize with an auxiliary chaotic network, this work further explores a way to avoid the precondition of linear independence. When the adaptive controller fails to achieve the outer synchronization, an impulsive control method is used. In the end, we conclude with three numerical simulations. The results obtained in this paper generalize continuous, discrete with arbitrary time step size and mixed cases. |
| first_indexed | 2024-03-10T03:29:19Z |
| format | Article |
| id | doaj.art-cf6df043bcc8416a8ae37d60435dfcc0 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:29:19Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-cf6df043bcc8416a8ae37d60435dfcc02023-11-23T12:01:58ZengMDPI AGMathematics2227-73902022-05-011010175510.3390/math10101755Topology Identification of Time-Scales Complex NetworksYong Pei0Churong Chen1Dechang Pi2College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaSchool of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou 510665, ChinaCollege of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaThis paper studies a topology identification problem of complex networks with dynamics on different time scales. Using the adaptive synchronization method, some criteria for a successful estimation are obtained. In particular, by regulating the original network to synchronize with an auxiliary chaotic network, this work further explores a way to avoid the precondition of linear independence. When the adaptive controller fails to achieve the outer synchronization, an impulsive control method is used. In the end, we conclude with three numerical simulations. The results obtained in this paper generalize continuous, discrete with arbitrary time step size and mixed cases.https://www.mdpi.com/2227-7390/10/10/1755topology identificationcomplex networkstime scalesdynamical networks |
| spellingShingle | Yong Pei Churong Chen Dechang Pi Topology Identification of Time-Scales Complex Networks Mathematics topology identification complex networks time scales dynamical networks |
| title | Topology Identification of Time-Scales Complex Networks |
| title_full | Topology Identification of Time-Scales Complex Networks |
| title_fullStr | Topology Identification of Time-Scales Complex Networks |
| title_full_unstemmed | Topology Identification of Time-Scales Complex Networks |
| title_short | Topology Identification of Time-Scales Complex Networks |
| title_sort | topology identification of time scales complex networks |
| topic | topology identification complex networks time scales dynamical networks |
| url | https://www.mdpi.com/2227-7390/10/10/1755 |
| work_keys_str_mv | AT yongpei topologyidentificationoftimescalescomplexnetworks AT churongchen topologyidentificationoftimescalescomplexnetworks AT dechangpi topologyidentificationoftimescalescomplexnetworks |