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- W3078010147 abstract "In our paper, the finite-time cluster synchronization problem is investigated for the coupled dynamical systems in networks. Based on impulsive differential equation theory and differential inequality method, two novel Lyapunov-based finite-time stability results are proposed and be used to obtain the finite-time cluster synchronization criteria for the coupled dynamical systems with synchronization and desynchronization impulsive effects, respectively. The settling time with respect to the average impulsive interval is estimated according to the sufficient synchronization conditions. It is illustrated that the introduced settling time is not only dependent on the initial conditions, but also dependent on the impulsive effects. Compared with the results without stabilizing impulses, the attractive domain of the finite-time stability can be enlarged by adding impulsive control input. Conversely, the smaller attractive domain can be obtained when the original system is subject to the destabilizing impulses. By using our criteria, the continuous feedback control can always be designed to finite-time stabilize the unstable impulsive system. Several existed results are extended and improved in the literature. Finally, typical numerical examples involving the large-scale complex network are outlined to exemplify the availability of the impulsive control and continuous feedback control, respectively." @default.
- W3078010147 created "2020-08-24" @default.
- W3078010147 creator A5017808266 @default.
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- W3078010147 date "2021-01-01" @default.
- W3078010147 modified "2023-10-15" @default.
- W3078010147 title "Finite-time cluster synchronization of coupled dynamical systems with impulsive effects" @default.
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- W3078010147 doi "https://doi.org/10.3934/dcdsb.2020248" @default.
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