Modified function projective synchronization of complex dynamical networks with mixed time-varying and asymmetric coupling delays via new hybrid pinning adaptive control
Abstract This paper investigates modified function projective synchronization (MFPS) for complex dynamical networks with mixed time-varying and hybrid asymmetric coupling delays, which is composed of state coupling, time-varying delay coupling and distributed time-varying delay coupling. In contrast...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-04-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1183-5 |
| _version_ | 1819130082543796224 |
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| author | Piyapong Niamsup Thongchai Botmart Wajaree Weera |
| author_facet | Piyapong Niamsup Thongchai Botmart Wajaree Weera |
| author_sort | Piyapong Niamsup |
| collection | DOAJ |
| description | Abstract This paper investigates modified function projective synchronization (MFPS) for complex dynamical networks with mixed time-varying and hybrid asymmetric coupling delays, which is composed of state coupling, time-varying delay coupling and distributed time-varying delay coupling. In contrast to previous results, the coupling configuration matrix needs not be symmetric or irreducible. The MFPS of delayed complex dynamical networks is considered via either hybrid control or hybrid pinning control with nonlinear and adaptive linear feedback control, which contains error linear term, time-varying delay error linear term and distributed time-varying delay error linear term. Based on Lyapunov stability theory, adaptive control technique, the parameter update law and the technique of dealing with some integral terms, we will show that control may be used to manipulate the scaling functions matrix such that the drive system and response networks could be synchronized up to the desired scaling function matrix. Numerical examples are given to demonstrate the effectiveness of the proposed method. The results in this article generalize and improve the corresponding results of the recent works. |
| first_indexed | 2024-12-22T08:53:57Z |
| format | Article |
| id | doaj.art-8cd92d26cc9241fda878223b31ac440b |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-22T08:53:57Z |
| publishDate | 2017-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-8cd92d26cc9241fda878223b31ac440b2022-12-21T18:31:53ZengSpringerOpenAdvances in Difference Equations1687-18472017-04-012017113110.1186/s13662-017-1183-5Modified function projective synchronization of complex dynamical networks with mixed time-varying and asymmetric coupling delays via new hybrid pinning adaptive controlPiyapong Niamsup0Thongchai Botmart1Wajaree Weera2Department of Mathematics, Chiang Mai UniversityDepartment of Mathematics, Khon Kaen UniversityDepartment of Mathematics, University of Pha YaoAbstract This paper investigates modified function projective synchronization (MFPS) for complex dynamical networks with mixed time-varying and hybrid asymmetric coupling delays, which is composed of state coupling, time-varying delay coupling and distributed time-varying delay coupling. In contrast to previous results, the coupling configuration matrix needs not be symmetric or irreducible. The MFPS of delayed complex dynamical networks is considered via either hybrid control or hybrid pinning control with nonlinear and adaptive linear feedback control, which contains error linear term, time-varying delay error linear term and distributed time-varying delay error linear term. Based on Lyapunov stability theory, adaptive control technique, the parameter update law and the technique of dealing with some integral terms, we will show that control may be used to manipulate the scaling functions matrix such that the drive system and response networks could be synchronized up to the desired scaling function matrix. Numerical examples are given to demonstrate the effectiveness of the proposed method. The results in this article generalize and improve the corresponding results of the recent works.http://link.springer.com/article/10.1186/s13662-017-1183-5modified function projective synchronizationcomplex dynamical networkmixed time-varying delaymixed coupling delayshybrid adaptive pinning control |
| spellingShingle | Piyapong Niamsup Thongchai Botmart Wajaree Weera Modified function projective synchronization of complex dynamical networks with mixed time-varying and asymmetric coupling delays via new hybrid pinning adaptive control Advances in Difference Equations modified function projective synchronization complex dynamical network mixed time-varying delay mixed coupling delays hybrid adaptive pinning control |
| title | Modified function projective synchronization of complex dynamical networks with mixed time-varying and asymmetric coupling delays via new hybrid pinning adaptive control |
| title_full | Modified function projective synchronization of complex dynamical networks with mixed time-varying and asymmetric coupling delays via new hybrid pinning adaptive control |
| title_fullStr | Modified function projective synchronization of complex dynamical networks with mixed time-varying and asymmetric coupling delays via new hybrid pinning adaptive control |
| title_full_unstemmed | Modified function projective synchronization of complex dynamical networks with mixed time-varying and asymmetric coupling delays via new hybrid pinning adaptive control |
| title_short | Modified function projective synchronization of complex dynamical networks with mixed time-varying and asymmetric coupling delays via new hybrid pinning adaptive control |
| title_sort | modified function projective synchronization of complex dynamical networks with mixed time varying and asymmetric coupling delays via new hybrid pinning adaptive control |
| topic | modified function projective synchronization complex dynamical network mixed time-varying delay mixed coupling delays hybrid adaptive pinning control |
| url | http://link.springer.com/article/10.1186/s13662-017-1183-5 |
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