Linear feedback synchronization used in the three-dimensional Duffing system (Q892555)
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scientific article; zbMATH DE number 6511705
| Language | Label | Description | Also known as |
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| English | Linear feedback synchronization used in the three-dimensional Duffing system |
scientific article; zbMATH DE number 6511705 |
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Linear feedback synchronization used in the three-dimensional Duffing system (English)
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19 November 2015
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Summary: It has been realized that synchronization using linear feedback control method is efficient compared to nonlinear feedback control method due to less computational complexity and synchronization error. For the problem of feedback synchronization of Duffing chaotic system, in the paper, we firstly establish a three-dimensional Duffing system by method of variable decomposition and, then, study the synchronization of Duffing chaotic system and design the control law based on linear feedback control and the Lyapunov stability theory. It is proved theoretically that the two identical integer order chaotic systems are synchronized analytically and numerically.
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linear feedback control method
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Duffing chaotic system
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variable decomposition
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Lyapunov stability theory
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