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Chaos Synchronization of the Lorenz System Using Adaptive Backstepping Finite-Time Controller Design

DOI: 10.4236/jfcmv.2026.131001, PP. 1-20

Keywords: Chaotic Lorenz System, Finite-Time Synchronization, Adaptive Backstepping Controller, Uncertainty

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Abstract:

This paper presents an adaptive backstepping control strategy to achieve finite-time Chaos synchronization for the uncertain Lorenz system. Using Lyapunov stability theory, a controller is designed to ensure that the synchronization error converges to zero in a finite time, even in the presence of unknown system parameter constants and external disturbances. The effectiveness of the proposed method is demonstrated through numerical simulations.

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