Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{DasYad16}
\by S.~Das, V.~K.~Yadav
\paper Chaos control and function projective synchronization of fractional-order systems through the~backstepping method
\jour TMF
\yr 2016
\vol 189
\issue 1
\pages 36--47
\mathnet{http://mi.mathnet.ru/tmf9046}
\crossref{https://doi.org/10.4213/tmf9046}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3589019}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2016TMP...189.1430D}
\elib{https://elibrary.ru/item.asp?id=27350117}
\transl
\jour Theoret. and Math. Phys.
\yr 2016
\vol 189
\issue 1
\pages 1430--1439
\crossref{https://doi.org/10.1134/S0040577916100032}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000386870200003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85013885082}
Linking options:
  • https://www.mathnet.ru/eng/tmf9046
  • https://doi.org/10.4213/tmf9046
  • https://www.mathnet.ru/eng/tmf/v189/i1/p36
    • 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
    Statistics & downloads:
    Abstract page:334
    Full-text PDF :163
    References:50
    First page:19
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024