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Synchronization of chaos in nonlinear finance system by means of sliding mode and passive control methods: A comparative study

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Kocamaz, Uğur Erkin

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Göksu, Alper
Taşkın, Harun
Uyaroğlu, Yılmaz

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Kaunas Technical University

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Abstract

In this paper, two different control methods, namely sliding mode control and passive control, are investigated for the synchronization of two identical chaotic finance systems with different initial conditions. Based on the sliding mode control theory, a sliding surface is determined. A Lyapunov function is used to prove that the passive controller provides global asymptotic stability of the system. Numerical simulations validate the synchronization of chaotic finance systems with the proposed sliding mode and passive control methods. The synchronization performance of these two methods is compared and discussed.

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Chaos synchronization, Chaotic finance system, Passive control, Sliding mode control, Bifurcation, Automation & control systems, Computer science

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Kocamaz, U. E. vd. (2015). "Synchronization of chaos in nonlinear finance system by means of sliding mode and passive control methods: A comparative study". Information Technology and Control, 44(2), 172-181.

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