A new contribution for the impulsive synchronization of fractional-order discrete-time chaotic systems
In this paper, we discuss and investigate the impulsive synchronization of fractional-order discrete-time chaotic systems. The proposed method is based on the impulsive synchronization theory used in the integer-order case on the one hand and the mathematical analysis of the fractional-order discret...
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| Veröffentlicht in: | Nonlinear dynamics 2017-11, Vol.90 (3), p.1519-1533 |
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| container_title | Nonlinear dynamics |
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| creator | Megherbi, Ouerdia Hamiche, Hamid Djennoune, Saïd Bettayeb, Maamar |
| description | In this paper, we discuss and investigate the impulsive synchronization of fractional-order discrete-time chaotic systems. The proposed method is based on the impulsive synchronization theory used in the integer-order case on the one hand and the mathematical analysis of the fractional-order discrete-time systems on the other hand. Sufficient conditions for the stability of synchronization error system are given, and application example with numerical simulations is illustrated in order to verify that the proposed method is applicable and effective. Furthermore, in order to validate the proposed synchronization approach, we have also provided the experimental implementation results using Arduino Mega boards. |
| doi_str_mv | 10.1007/s11071-017-3743-3 |
| format | Article |
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| issn | 0924-090X 1573-269X |
| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Automotive Engineering Chaos theory Classical Mechanics Computer simulation Control Discrete time systems Dynamical Systems Engineering Mathematical analysis Mechanical Engineering Original Paper Synchronism Time synchronization Vibration |
| title | A new contribution for the impulsive synchronization of fractional-order discrete-time chaotic systems |
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