TY - JOUR
T1 - Function projective synchronization of fractional order satellite systems and its stability analysis for incommensurate case
AU - Yadav, Vijay K.
AU - Shukla, Vijay K.
AU - Das, Subir
AU - Leung, A.Y.T.
AU - Srivastava, Mayank
PY - 2018/4
Y1 - 2018/4
N2 - In this article, the stability analysis, chaos control and the function projective synchronization between fractional order identical satellite systems have been studied. Based on the stability theory of fractional order systems, the conditions of local stability of nonlinear three-dimensional commensurate and incommensurate fractional order systems are discussed. Feedback control method is used to control the chaos in the considered fractional order satellite system. Using the fractional calculus theory and computer simulation, it is found that the chaotic behavior exists in the fractional order satellite system and the lowest order of derivative where the chaos exits is 2.82. Adams-Bashforth-Moulton method is applied during numerical simulations and the results obtain are displayed through graphs.
AB - In this article, the stability analysis, chaos control and the function projective synchronization between fractional order identical satellite systems have been studied. Based on the stability theory of fractional order systems, the conditions of local stability of nonlinear three-dimensional commensurate and incommensurate fractional order systems are discussed. Feedback control method is used to control the chaos in the considered fractional order satellite system. Using the fractional calculus theory and computer simulation, it is found that the chaotic behavior exists in the fractional order satellite system and the lowest order of derivative where the chaos exits is 2.82. Adams-Bashforth-Moulton method is applied during numerical simulations and the results obtain are displayed through graphs.
KW - Fractional derivative
KW - Function projective synchronization
KW - Luapunov stability theory
KW - Satellite system
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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85044581079&origin=recordpage
U2 - 10.1016/j.cjph.2018.01.008
DO - 10.1016/j.cjph.2018.01.008
M3 - RGC 21 - Publication in refereed journal
SN - 0577-9073
VL - 56
SP - 696
EP - 707
JO - Chinese Journal of Physics
JF - Chinese Journal of Physics
IS - 2
ER -