Journal
PHYSICS LETTERS A
Volume 382, Issue 34, Pages 2313-2320Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2018.05.043
Keywords
Fractional-order chaotic system identification; Stable distribution noises; Nonlinear optimization; Differential evolution
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Funding
- National Natural Science Foundation of China [61703163]
- Shanghai Sailing Program [17YF1427700]
- China Postdoctoral Science Foundation [2016M601525]
- Fundamental Research Funds for the Central Universities [222201714028]
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This research investigates the identification problem of fractional-order chaotic systems under stable distribution noises. A powerful metaheuristic optimization method called composite differential evolution is used for the identification of the fractional-order Lorenz and Chen systems in the noisy environment, where the structure, parameters, orders and initial values of the systems are all unknown. The identification accuracy is examined when the noise follows the three special cases of stable distributions, i.e., Gaussian, Cauchy and Levy distributions. In addition, the impact of the four parameters of stable distributions on the identification accuracy is discussed. The experimental results show that the identification error becomes larger when the noise switches from Gaussian to Cauchy and Levy distributions. The results also turn out that the location of the stable distribution noise plays the most substantial role in the identification accuracy. (C) 2018 Elsevier B.V. All rights reserved.
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