Fixed-Time Synchronization of Complex Dynamical Network With Impulsive Effects
Fixed-time synchronization of complex dynamical networks with impulsive effects is investigated in this paper. First of all, a novel lemma about the fixed-time stability of the impulsive dynamical system is proposed, in which the settling time is regardless of the initial values of the considered sy...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IEEE
2020-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/8990036/ |
| _version_ | 1818428161563557888 |
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| author | Na Li Xiaoqun Wu Qirui Yang |
| author_facet | Na Li Xiaoqun Wu Qirui Yang |
| author_sort | Na Li |
| collection | DOAJ |
| description | Fixed-time synchronization of complex dynamical networks with impulsive effects is investigated in this paper. First of all, a novel lemma about the fixed-time stability of the impulsive dynamical system is proposed, in which the settling time is regardless of the initial values of the considered system. Secondly, by constructing a Lyapunov function made up of the error states' 1-norm, we design a unified controller for the network to achieve synchronization within the settling time. Moreover, the convergence time given in this paper is more accurate than that in some existing literatures. Furthermore, the nonlinear term of the dynamical behavior is assumed to be Hölder continuous, which is more general than the common Lipschitz condition. Finally, a numerical example is provided to illustrate the correctness and the effectiveness of the main result. |
| first_indexed | 2024-12-14T14:57:13Z |
| format | Article |
| id | doaj.art-1431371e01d346d995419c400f033d64 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-14T14:57:13Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-1431371e01d346d995419c400f033d642022-12-21T22:56:57ZengIEEEIEEE Access2169-35362020-01-018330723307910.1109/ACCESS.2020.29707898990036Fixed-Time Synchronization of Complex Dynamical Network With Impulsive EffectsNa Li0https://orcid.org/0000-0001-8497-8521Xiaoqun Wu1Qirui Yang2School of Mathematics and Statistics, Wuhan University, Wuhan, ChinaSchool of Mathematics and Statistics, Wuhan University, Wuhan, ChinaSchool of Mathematics and Statistics, Wuhan University, Wuhan, ChinaFixed-time synchronization of complex dynamical networks with impulsive effects is investigated in this paper. First of all, a novel lemma about the fixed-time stability of the impulsive dynamical system is proposed, in which the settling time is regardless of the initial values of the considered system. Secondly, by constructing a Lyapunov function made up of the error states' 1-norm, we design a unified controller for the network to achieve synchronization within the settling time. Moreover, the convergence time given in this paper is more accurate than that in some existing literatures. Furthermore, the nonlinear term of the dynamical behavior is assumed to be Hölder continuous, which is more general than the common Lipschitz condition. Finally, a numerical example is provided to illustrate the correctness and the effectiveness of the main result.https://ieeexplore.ieee.org/document/8990036/Fixed-time synchronizationcomplex dynamical networksimpulsive effectscontrol |
| spellingShingle | Na Li Xiaoqun Wu Qirui Yang Fixed-Time Synchronization of Complex Dynamical Network With Impulsive Effects IEEE Access Fixed-time synchronization complex dynamical networks impulsive effects control |
| title | Fixed-Time Synchronization of Complex Dynamical Network With Impulsive Effects |
| title_full | Fixed-Time Synchronization of Complex Dynamical Network With Impulsive Effects |
| title_fullStr | Fixed-Time Synchronization of Complex Dynamical Network With Impulsive Effects |
| title_full_unstemmed | Fixed-Time Synchronization of Complex Dynamical Network With Impulsive Effects |
| title_short | Fixed-Time Synchronization of Complex Dynamical Network With Impulsive Effects |
| title_sort | fixed time synchronization of complex dynamical network with impulsive effects |
| topic | Fixed-time synchronization complex dynamical networks impulsive effects control |
| url | https://ieeexplore.ieee.org/document/8990036/ |
| work_keys_str_mv | AT nali fixedtimesynchronizationofcomplexdynamicalnetworkwithimpulsiveeffects AT xiaoqunwu fixedtimesynchronizationofcomplexdynamicalnetworkwithimpulsiveeffects AT qiruiyang fixedtimesynchronizationofcomplexdynamicalnetworkwithimpulsiveeffects |