Fixed-Time Complex Modified Function Projective Lag Synchronization of Chaotic (Hyperchaotic) Complex Systems
A novel fixed-time controller is proposed to perform fixed-time complex modified function projective lag synchronization of chaotic (hyperchaotic) complex systems. The synchronization is obtained after a finite time that could be preestablished without the knowledge of the initial states of both syn...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2017/4020548 |
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| _version_ | 1832548580696522752 |
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| author | Xuan-Toa Tran Hee-Jun Kang |
| author_facet | Xuan-Toa Tran Hee-Jun Kang |
| author_sort | Xuan-Toa Tran |
| collection | DOAJ |
| description | A novel fixed-time controller is proposed to perform fixed-time complex modified function projective lag synchronization of chaotic (hyperchaotic) complex systems. The synchronization is obtained after a finite time that could be preestablished without the knowledge of the initial states of both synchronized chaotic (hyperchaotic) complex systems. The global fixed-time stability of the closed-loop systems is rigorously proven based on Lyapunov analysis. Some simulation examples are provided to demonstrate the effectiveness and feasibility of the proposed method and verify the theoretical results. |
| format | Article |
| id | doaj-art-fa125c3b0748485c956595815ecd3ca0 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-fa125c3b0748485c956595815ecd3ca02025-02-03T06:13:40ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/40205484020548Fixed-Time Complex Modified Function Projective Lag Synchronization of Chaotic (Hyperchaotic) Complex SystemsXuan-Toa Tran0Hee-Jun Kang1School of Electrical Engineering, University of Ulsan, 93 Daehak-ro, Nam-gu, Ulsan 680-749, Republic of KoreaSchool of Electrical Engineering, University of Ulsan, 93 Daehak-ro, Nam-gu, Ulsan 680-749, Republic of KoreaA novel fixed-time controller is proposed to perform fixed-time complex modified function projective lag synchronization of chaotic (hyperchaotic) complex systems. The synchronization is obtained after a finite time that could be preestablished without the knowledge of the initial states of both synchronized chaotic (hyperchaotic) complex systems. The global fixed-time stability of the closed-loop systems is rigorously proven based on Lyapunov analysis. Some simulation examples are provided to demonstrate the effectiveness and feasibility of the proposed method and verify the theoretical results.http://dx.doi.org/10.1155/2017/4020548 |
| spellingShingle | Xuan-Toa Tran Hee-Jun Kang Fixed-Time Complex Modified Function Projective Lag Synchronization of Chaotic (Hyperchaotic) Complex Systems Complexity |
| title | Fixed-Time Complex Modified Function Projective Lag Synchronization of Chaotic (Hyperchaotic) Complex Systems |
| title_full | Fixed-Time Complex Modified Function Projective Lag Synchronization of Chaotic (Hyperchaotic) Complex Systems |
| title_fullStr | Fixed-Time Complex Modified Function Projective Lag Synchronization of Chaotic (Hyperchaotic) Complex Systems |
| title_full_unstemmed | Fixed-Time Complex Modified Function Projective Lag Synchronization of Chaotic (Hyperchaotic) Complex Systems |
| title_short | Fixed-Time Complex Modified Function Projective Lag Synchronization of Chaotic (Hyperchaotic) Complex Systems |
| title_sort | fixed time complex modified function projective lag synchronization of chaotic hyperchaotic complex systems |
| url | http://dx.doi.org/10.1155/2017/4020548 |
| work_keys_str_mv | AT xuantoatran fixedtimecomplexmodifiedfunctionprojectivelagsynchronizationofchaotichyperchaoticcomplexsystems AT heejunkang fixedtimecomplexmodifiedfunctionprojectivelagsynchronizationofchaotichyperchaoticcomplexsystems |