Quasi-projective Synchronization for Caputo Type Fractional-order Complex-valued Neural Networks with Mixed Delays

Laplace transform and nonlinear control design for quasi‐projective synchronization for Caputo inertial delayed neural networks

“…Moreover, projective synchronization can be used for fast communication [28, 33] and secure communication [36]. In the process of QPS [34–36, 42, 43], the error fluctuates in a small range rather than approaching zero. Inspired by these articles, based on the model of Caputo INNs with delays, the QPS issues are discussed in this paper.…”

“…From the simulation results, we find that the error has been fluctuating, which further proves the feasibility of the theoretical results. In addition, the results in the literature [34–36, 42] were described as the form of the Mittag–Leffler function, which are difficult to verify. However, a novel lemma is established and it has the characteristics of the classical exponential function in this paper.…”

“…In Huang et al [18], the robust stability with neutral-type delay was discussed. Furthermore, the time delays were investigated including leakage delay [29,36], transmission delay [27], and distributed delay [31,35]. This paper considers the model of INNs with discrete and distributed delays.…”

“…In Li et al [34], the sufficient conditions of QPS were obtained via new fractional differential inequality. In Cheng et al [35], the criteria of QPS were derived based on two different controllers. In Yan et al [36], the QPS of Caputo delayed NNs was discussed by designing a linear controller.…”

“…In addition to the common stability [18][19][20][21], bifurcation [22][23][24], and periodicity [25], synchronization is also an important dynamic behavior and has gotten extensive attention [26][27][28][29][30][31][32][33][34][35][36][37]. Despite all this, there are not many articles about quasi-projective synchronization (QPS).…”