Exponential quasi-synchronization of conformable fractional-order complex dynamical networks

Solutions and memory effect of fractional-order chaotic system: A review

“…Those systems including conformable fractional-order simplified Lorenz system, [112] conformable fractional-order 4D fractional-order chaotic system, [113] conformable fractional-order tumor model, [114] conformable fractional-order two-machine interconnected power system, [115] have rich dynamics. Meanwhile, sliding mode control technique [116] and exponential quasisynchronization [117] are investigated. There are several numerical solution algorithms [112,[118][119][120] for conformable fractional-order chaotic systems proposed.…”

On the Barbalat lemma extension for the generalized conformable fractional integrals: Application to adaptive observer design

“…Some recent work is examined in Abdeljawad [16] to enhance such a derivative. There has been a lot of research and description done on it, and we recommend the following references to the readers [17][18][19][20][21][22]. After that, a new extension for the conformable fractional derivative is described; see previous studies [23][24][25].…”

“…In the few last years, in Khalil et al [15], a new fractional‐order derivative has been defined named “the conformable fractional derivative.” Some recent work is examined in Abdeljawad [16] to enhance such a derivative. There has been a lot of research and description done on it, and we recommend the following references to the readers [17–22]. After that, a new extension for the conformable fractional derivative is described; see previous studies [23–25].…”

Finite-time synchronization of uncertain fractional-order multi-weighted complex networks with external disturbances via adaptive quantized control

“…[11] Over the last several years, researchers have explored a variety of synchronization in CNs, such as complete synchronization, [12] projective synchronization, [13,14] quasi synchronization, [15,16] cluster synchronization, [17][18][19] and exponential synchronization. [20] In engineering applications, due to the requirements of security and efficiency, it is important to know the maximum synchronization time of the network. [21] Therefore, compared with the general synchronization mode without the upper limit of synchronization time, the finite-time synchronization is more meaningful and can be used in a wider range of scenarios.…”