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

Xiaomin Tian

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-11

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:484039

DOI: 10.1155/2014/484039

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