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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 189, Number 1, Pages 36–47
DOI: https://doi.org/10.4213/tmf9046 (Mi tmf9046) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Chaos control and function projective synchronization of fractional-order systems through the backstepping method

S. Das, V. K. Yadav

Department of Mathematical Sciences, Indian Institute of Technology (Banaras Hindu University), Varanasi, India
Full-text PDF (1300 kB) Citations (18)
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DOI: https://doi.org/10.4213/tmf9046
Abstract: We study the chaos control and the function projective synchronization of a fractional-order T-system and Lorenz chaotic system using the backstepping method. Based on stability theory, we consider the condition for the local stability of nonlinear three-dimensional commensurate fractional-order system. Using the feedback control method, we control the chaos in the considered fractional-order T-system. We simulate the function projective synchronization between the fractional-order T-system and Lorenz system numerically using MATLAB and depict the results with plots.
Keywords: fractional derivative, chaotic T-system, Lorenz system, backstepping method, feedback control method, Lyapunov stability theory, synchronization.
English version:
Theoretical and Mathematical Physics, 2016, Volume 189, Issue 1, Pages 1430–1439
DOI: https://doi.org/10.1134/S0040577916100032
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. Das, V. K. Yadav, “Chaos control and function projective synchronization of fractional-order systems through the backstepping method”, TMF, 189:1 (2016), 36–47; Theoret. and Math. Phys., 189:1 (2016), 1430–1439
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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