An exponential polynomial observer for synchronization of chaotic systems

J. L. Mata-Machuca; R. Martínez-Guerra; R. Aguilar-López

doi:10.1016/j.cnsns.2010.01.040

An exponential polynomial observer for synchronization of chaotic systems

J. L. Mata-Machuca, R. Martínez-Guerra, R. Aguilar-López

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

18 Citas (Scopus)

Resumen

In this paper, we consider the synchronization problem via nonlinear observer design. A new exponential polynomial observer for a class of nonlinear oscillators is proposed, which is robust against output noises. A sufficient condition for synchronization is derived analytically with the help of Lyapunov stability theory. The proposed technique has been applied to synchronize chaotic systems (Rikitake and Rössler systems) by means of numerical simulation.

Idioma original	Inglés
Páginas (desde-hasta)	4114-4130
Número de páginas	17
Publicación	Communications in Nonlinear Science and Numerical Simulation
Volumen	15
N.º	12
DOI	https://doi.org/10.1016/j.cnsns.2010.01.040
Estado	Publicada - dic. 2010
Publicado de forma externa	Sí

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abstract = "In this paper, we consider the synchronization problem via nonlinear observer design. A new exponential polynomial observer for a class of nonlinear oscillators is proposed, which is robust against output noises. A sufficient condition for synchronization is derived analytically with the help of Lyapunov stability theory. The proposed technique has been applied to synchronize chaotic systems (Rikitake and R{\"o}ssler systems) by means of numerical simulation.",

keywords = "Algebraic observability condition, Lipschitz system, Polynomial observer, Synchronization",

author = "Mata-Machuca, {J. L.} and R. Mart{\'i}nez-Guerra and R. Aguilar-L{\'o}pez",

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AU - Martínez-Guerra, R.

AU - Aguilar-López, R.

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Y1 - 2010/12

N2 - In this paper, we consider the synchronization problem via nonlinear observer design. A new exponential polynomial observer for a class of nonlinear oscillators is proposed, which is robust against output noises. A sufficient condition for synchronization is derived analytically with the help of Lyapunov stability theory. The proposed technique has been applied to synchronize chaotic systems (Rikitake and Rössler systems) by means of numerical simulation.

AB - In this paper, we consider the synchronization problem via nonlinear observer design. A new exponential polynomial observer for a class of nonlinear oscillators is proposed, which is robust against output noises. A sufficient condition for synchronization is derived analytically with the help of Lyapunov stability theory. The proposed technique has been applied to synchronize chaotic systems (Rikitake and Rössler systems) by means of numerical simulation.

KW - Algebraic observability condition

KW - Lipschitz system

KW - Polynomial observer

KW - Synchronization

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U2 - 10.1016/j.cnsns.2010.01.040

DO - 10.1016/j.cnsns.2010.01.040

M3 - Artículo

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JO - Communications in Nonlinear Science and Numerical Simulation

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ER -

An exponential polynomial observer for synchronization of chaotic systems

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