Adaptive impulsive synchronization for a class of fractional order complex chaotic systems
2019 ◽
Vol 25
(10)
◽
pp. 1614-1628
◽
Keyword(s):
In this paper, a new lemma is proposed to study the stability of a fractional order complex chaotic system without dividing the complex number into real and imaginary parts. The proving process of the new lemma combines the fundamental properties of the complex field and the fractional order extension of the Lyapunov direct method. It extends the fractional order extension of the Lyapunov direct method from the real number field to the complex number field. Based on the new lemma, we propose a new impulsive synchronization scheme for fractional order complex chaotic systems. The numerical simulation results also show the validity of our conclusion.
2020 ◽
Vol 1597
◽
pp. 012015
2020 ◽
2020 ◽
Vol 34
(07)
◽
pp. 2050050
◽
2018 ◽
Vol 7
(1)
◽
pp. 330-340
◽
Keyword(s):
2016 ◽
Vol 5
(3)
◽
pp. 756-770
◽
2020 ◽
Keyword(s):