New approach to synchronization of two different fractional-order chaotic systems

Author

Behinfaraz, Reza ; Badamchizadeh, Mohammad Ali

Author_Institution

Fac. of Electr. & Comput. Eng., Univ. of Tabriz Tabriz, Tabriz, Iran

fYear

2015

fDate

3-5 March 2015

Firstpage

149

Lastpage

153

Abstract

This paper proposes a new method for synchronization of two different fractional-order chaotic systems. By using fractional calculus properties and some result of the stability theorem of fractional-order systems, we suggest a new method to achieve the synchronization in such cases. The analytical conditions for synchronization of these different fractional-order systems are derived by utilizing Laplace transform. For transforming our problem into a general synchronization between fractional-order chaotic systems with equal orders, we used fractional operators in the controller, and nonlinear feedback control is suggested by using of the active control method concepts. We present an example that illustrate the performance and application of proposed method.

Keywords

Laplace transforms; chaos; feedback; nonlinear control systems; stability; Laplace transform; active control method; fractional calculus properties; fractional operators; fractional-order chaotic systems; nonlinear feedback control; stability theorem; synchronization; Asymptotic stability; Chaos; Differential equations; Laplace equations; Stability analysis; Synchronization; Thermal stability; Active control; Fractional-order chaotic system; Laplace transform;

fLanguage

English

Publisher

ieee

Conference_Titel

Artificial Intelligence and Signal Processing (AISP), 2015 International Symposium on

Conference_Location

Mashhad

Print_ISBN

978-1-4799-8817-4

Type

conf

DOI

10.1109/AISP.2015.7123510

Filename

7123510