SYNCHRONIZATION OF CHAOTIC FRACTIONAL-ORDER SYSTEMS VIA LINEAR CONTROL
2010 ◽
Vol 20
(01)
◽
pp. 81-97
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Keyword(s):
The chaotic dynamics of fractional-order systems has attracted much attention recently. Chaotic synchronization of fractional-order systems is further studied in this paper. We investigate the chaos synchronization of two identical systems via a suitable linear controller applied to the response system. Based on the stability results of linear fractional-order systems, sufficient conditions for chaos synchronization of these systems are given. Control laws are derived analytically to achieve synchronization of the chaotic fractional-order Chen, Rössler and modified Chua systems. Numerical simulations are provided to verify the theoretical analysis.
2011 ◽
Vol 25
(03)
◽
pp. 407-415
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Robust stability and stabilization of uncertain fractional order systems subject to input saturation
2017 ◽
Vol 24
(16)
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pp. 3676-3683
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2012 ◽
Vol 2012
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pp. 1-11
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2018 ◽
Vol 56
◽
pp. 365-379
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2015 ◽
Vol 11
(3)
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1982 ◽
Vol 104
(1)
◽
pp. 27-32
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2019 ◽
Vol 20
(2)
◽
pp. 125-136