Function projective synchronization of fractional order satellite system and its stability analysis for incommensurate case
Author(s)
Author(s)
Yadav, V. K.
Shukla, V. K.
Das, S.
Srivastava, M.
Date Issued
2018
Publisher
Elsevier
Journal
Chinese Journal of Physics
Volume
56
Issue
2
Start page
696
End page
707
Abstract
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.
SFU Affiliated Publication
No
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