Impulsive stabilization and synchronization of uncertain financial hyperchaotic systems

Time-delayed local feedback control for a chaotic finance system

“…Finally, by simulation results we demonstrated the effectiveness of the obtained conditions. The techniques developed in this paper can be employed to investigate the synchronization problem [8,11,31] and the H ∞ control problem [19,32,33]. In addition, it is worth pointing out that there exists conservatism in our results.…”

“…Moreover, it has been well acknowledged that the existence of the chaotic phenomenon in financial/economic systems will lead to a possible uncertainty in the macroeconomic operation. Hence it is important to investigate stabilization and synchronization problems for various kinds of chaotic finance systems [7][8][9][10][11][12]. For example, the stabilization problem has been studied in [9] for an uncertain fractional-order finance system via the adaptive sliding-mode strategy, and in [11] the stabilization and synchronization problems have been addressed for an uncertain financial hyperchaotic system by using the impulsive control approach.…”

Global Existence and Fixed-Time Synchronization of a Hyperchaotic Financial System Governed by Semi-Linear Parabolic Partial Differential Equations Equipped with the Homogeneous Neumann Boundary Condition

“…For control systems, stabilization and synchronization have close relationships. The stabilization problem has already been extensively investigated for (hyper)chaotic financial systems; the interested readers can consult, for instance, References [13,14,[25][26][27], for some intuition and new observations concerning this topic. Analogously to the stabilization problem, the synchronization problem for (hyper)chaotic financial systems has also been investigated in several references; see References [28][29][30][31][32][33].…”

H∞ control for a hyperchaotic finance system with external disturbance based on the quadratic system theory

“…It has been shown that such a four-dimensional system displays the more complex hyperchaotic behaviour. In the past several years, the synchronization and control problems have also attracted considerable research attention for various hyperchaotic finance systems (Cai et al, 2012;Hajipour et al, 2018;Vargas et al, 2015;Zheng, 2016). For example, the adaptive algorithm has been proposed in Vargas et al (2015) to address the synchronization problem for a hyperchaotic system with unknown parameters.…”

“…For example, the adaptive algorithm has been proposed in Vargas et al (2015) to address the synchronization problem for a hyperchaotic system with unknown parameters. In Zheng (2016), the impulsive control scheme has been utilized to study the stabilization and synchronization of an uncertain hyperchaotic finance system. Nevertheless, it should be pointed out that the external disturbances are not sufficiently incorporated in the considered hyperchaotic finance systems.…”