Chaos Control in the Fractional-Order Lorenz System with Random Parameter

Abstract:

In this paper, we study the chaos control in the fractional-order Lorenz system with random parameter. Firstly, according to orthogonal polynomial approximation principle of the Functional analysis, the fractional-order Lorenz system with random parameter is reduced to its equivalent deterministic one. Secondly, chaos control equivalent deterministic system research using the linear feedback method. Finally, though numerical results show the effective and feasible of this method.

• Periodical: Applied Mechanics and Materials (Volumes 278-280)
• Pages: 1423-1426
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.278-280.1423
• Online since: January 2013
• Authors: Wei Qiao
• Keywords: Chaos Control, Chebyshev Polynomial, Fractional-Order, Linear Feedback Method, Random Parameter

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