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

Israr Ahmad, Azizan Bin Saaban, Adyda Binti Ibrahim and Mohammad Shahzad
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Israr Ahmad: School of Quantitative Sciences, College of Arts & Sciences, University Utara Malaysia, Sintok 06010, Kedah, Malaysia
Azizan Bin Saaban: School of Quantitative Sciences, College of Arts & Sciences, University Utara Malaysia, Sintok 06010, Kedah, Malaysia
Adyda Binti Ibrahim: School of Quantitative Sciences, College of Arts & Sciences, University Utara Malaysia, Sintok 06010, Kedah, Malaysia
Mohammad Shahzad: Nizwa College of Applied Sciences, Ministry of Higher Education, Nizwa 611, Oman

Mathematics, 2015, vol. 3, issue 4, 1-19

Abstract: 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.

Keywords: anti-synchronization; finite-time stability theory; chaotic Lu system; hyperchaotic Li system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2015
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