Finite-time synchronization of fractional-order heterogeneous dynamical networks with impulsive interference via aperiodical intermittent control
This paper addresses the problem of ensuring finite-time synchronization for fractional-order heterogeneous dynamical networks via aperiodic intermittent control, where uncertain impulsive disturbances are introduced at the instants triggered by the control actions applied to the system. Under aperi...
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AIMS Press
2025-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025287 |
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| author | Tao Xie Xing Xiong |
| author_facet | Tao Xie Xing Xiong |
| author_sort | Tao Xie |
| collection | DOAJ |
| description | This paper addresses the problem of ensuring finite-time synchronization for fractional-order heterogeneous dynamical networks via aperiodic intermittent control, where uncertain impulsive disturbances are introduced at the instants triggered by the control actions applied to the system. Under aperiodic time-triggered and event-triggered intermittent control, a Lyapunov function iteration method, based on the traditional Lyapunov method, was developed to analyze the criteria for finite-time synchronization. Several sufficient conditions were proposed to ensure finite-time synchronization. First, within the framework of finite-time and time-triggered control, the relationship between the control period width, impulsive disturbances, and configuration control parameters was established to guarantee finite-time synchronization. Second, an event-triggered mechanism was introduced into the intermittent control, where the sequence of impulsive disturbance instants was determined by a pre-designed trigger threshold. The relationship between impulsive disturbances, the event-triggered threshold, and the control period width was established. These two relationships can potentially increase the flexibility of the designed control periods and control width. Moreover, the Zeno phenomenon can be eliminated in the event-triggered mechanism. Finally, two simulations were presented to illustrate the feasibility and effectiveness of the theoretical results. |
| format | Article |
| id | doaj-art-eefdfaaa2c634adbb4b35892c71f3423 |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-eefdfaaa2c634adbb4b35892c71f34232025-08-20T01:54:41ZengAIMS PressAIMS Mathematics2473-69882025-03-011036291631710.3934/math.2025287Finite-time synchronization of fractional-order heterogeneous dynamical networks with impulsive interference via aperiodical intermittent controlTao Xie0Xing Xiong1School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, ChinaSchool of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, ChinaThis paper addresses the problem of ensuring finite-time synchronization for fractional-order heterogeneous dynamical networks via aperiodic intermittent control, where uncertain impulsive disturbances are introduced at the instants triggered by the control actions applied to the system. Under aperiodic time-triggered and event-triggered intermittent control, a Lyapunov function iteration method, based on the traditional Lyapunov method, was developed to analyze the criteria for finite-time synchronization. Several sufficient conditions were proposed to ensure finite-time synchronization. First, within the framework of finite-time and time-triggered control, the relationship between the control period width, impulsive disturbances, and configuration control parameters was established to guarantee finite-time synchronization. Second, an event-triggered mechanism was introduced into the intermittent control, where the sequence of impulsive disturbance instants was determined by a pre-designed trigger threshold. The relationship between impulsive disturbances, the event-triggered threshold, and the control period width was established. These two relationships can potentially increase the flexibility of the designed control periods and control width. Moreover, the Zeno phenomenon can be eliminated in the event-triggered mechanism. Finally, two simulations were presented to illustrate the feasibility and effectiveness of the theoretical results.https://www.aimspress.com/article/doi/10.3934/math.2025287fractional-order heterogeneous dynamical networksimpulsivefinite-time synchronizationaperiodic intermittent controlevent-triggered mechanism |
| spellingShingle | Tao Xie Xing Xiong Finite-time synchronization of fractional-order heterogeneous dynamical networks with impulsive interference via aperiodical intermittent control AIMS Mathematics fractional-order heterogeneous dynamical networks impulsive finite-time synchronization aperiodic intermittent control event-triggered mechanism |
| title | Finite-time synchronization of fractional-order heterogeneous dynamical networks with impulsive interference via aperiodical intermittent control |
| title_full | Finite-time synchronization of fractional-order heterogeneous dynamical networks with impulsive interference via aperiodical intermittent control |
| title_fullStr | Finite-time synchronization of fractional-order heterogeneous dynamical networks with impulsive interference via aperiodical intermittent control |
| title_full_unstemmed | Finite-time synchronization of fractional-order heterogeneous dynamical networks with impulsive interference via aperiodical intermittent control |
| title_short | Finite-time synchronization of fractional-order heterogeneous dynamical networks with impulsive interference via aperiodical intermittent control |
| title_sort | finite time synchronization of fractional order heterogeneous dynamical networks with impulsive interference via aperiodical intermittent control |
| topic | fractional-order heterogeneous dynamical networks impulsive finite-time synchronization aperiodic intermittent control event-triggered mechanism |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025287 |
| work_keys_str_mv | AT taoxie finitetimesynchronizationoffractionalorderheterogeneousdynamicalnetworkswithimpulsiveinterferenceviaaperiodicalintermittentcontrol AT xingxiong finitetimesynchronizationoffractionalorderheterogeneousdynamicalnetworkswithimpulsiveinterferenceviaaperiodicalintermittentcontrol |