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Robust Finite-Time Anti-Synchronization of Chaotic Systems with Different Dimensions

1
School of Quantitative Sciences, College of Arts & Sciences, University Utara Malaysia, Sintok 06010, Kedah, Malaysia
2
Nizwa College of Applied Sciences, Ministry of Higher Education, Nizwa 611, Oman
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Author to whom correspondence should be addressed.
Academic Editor: Palle E. T. Jorgensen
Mathematics 2015, 3(4), 1222-1240; https://doi.org/10.3390/math3041222
Received: 14 July 2015 / Revised: 26 October 2015 / Accepted: 30 November 2015 / Published: 8 December 2015
In this paper, we demonstrate that anti-synchronization (AS) phenomena of chaotic systems with different dimensions can coexist in the finite-time with under the effect of both unknown model uncertainty and external disturbance. Based on the finite-time stability theory and using the master-slave system AS scheme, a generalized approach for the finite-time AS is proposed that guarantee the global stability of the closed-loop for reduced order and increased order AS in the finite time. Numerical simulation results further verify the robustness and effectiveness of the proposed finite-time reduced order and increased order AS schemes. View Full-Text
Keywords: anti-synchronization; finite-time stability theory; chaotic Lu system; hyperchaotic Li system anti-synchronization; finite-time stability theory; chaotic Lu system; hyperchaotic Li system
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Ahmad, I.; Saaban, A.B.; Ibrahim, A.B.; Shahzad, M. Robust Finite-Time Anti-Synchronization of Chaotic Systems with Different Dimensions. Mathematics 2015, 3, 1222-1240.

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