Details

Autor(en) / Beteiligte

• Tian, Xiaomin
• De la Sen, Manuel

Titel

Adaptive Synchronization between Fractional-Order Chaotic Real and Complex Systems with Unknown Parameters

Ist Teil von

• Discrete Dynamics in Nature and Society, 2014-01, Vol.2014, p.1-11

Ort / Verlag

New York: Hindawi Limiteds

Erscheinungsjahr

2014

Link zum Volltext

Quelle

Free E-Journal (出版社公開部分のみ）

Beschreibungen/Notizen

• The complex modified projective synchronization (CMPS) between fractional-order chaotic real and complex systems is investigated for the first time. The parameters of both master and slave systems are assumed to be unknown in advance; moreover, the slave system is perturbed by unknown but bounded external disturbances. The master and slave systems that achieved CMPS can be synchronized up to a complex constant matrix. On the basis of frequency distributed model of fractional integrator and Lyapunov stability theory, a robust adaptive control law is designed to realize the CMPS for two different types of fractional-order chaotic systems. Meanwhile, to deal with these unknown parameters, some fractional-order type parametric update laws are provided. An example is given to demonstrate the effectiveness and feasibility of the proposed synchronization scheme.