Chaos Control of the Fractional Order Stochastic Chen System

Jie Zheng; Shao Juan Ma; Duan Dong

doi:10.4028/www.scientific.net/AMR.694-697.2130

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 694-697Chaos Control of the Fractional Order Stochastic...

Chaos Control of the Fractional Order Stochastic Chen System

Abstract:

In this paper, we study chaos control of the fractional order Chen system with the bounded random parameter. Firstly, we transform the fractional order Chen system with random parameter into an equivalent deterministic system by the orthogonal polynomial approximation. Secondly, based on Routh-Hrwitz criterion, the derivative feedback control laws are applied to fractional order equivalent deterministic Chen system. Lastly, numerical simulations show that the control method is effective and feasible.

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Periodical:

Advanced Materials Research (Volumes 694-697)

Pages:

2130-2133

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.694-697.2130

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Online since:

May 2013

Authors:

Jie Zheng, Shao Juan Ma, Duan Dong

Keywords:

Derivative Feedback Control, Fractional Order, Orthogonal Polynomial Approximation, Stochastic Chen System

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