Adaptive Fixed-Time Robust Control Function Projective Synchronization Of Hyperchaotic Financial Systems With External Perturbations

In the modern era, in where financial systems are essential to be investigated, the use of controllers through management strategies is crucial. Examining the synchronization of these systems we can be provided insightful information on the global financial development and alignment of different nations or regions. In order to synchronize considered drive-response hyperchaotic financial systems with unknown parameters and external disturbances, an adaptive fixed-time control technique has been followed. By combining the parametric adaption methodology with the fixed-time control method, the suggested controller is constricted. In particular, the purpose of adaptive adjustment methods is to estimate the unknown parameters and outside disturbances. Stability analysis shows that the function projective synchronization errors under the proposed controller can settle to a small neighborhood of roughly zero in a predetermined amount of time. Important characteristics of the developed controller are its extreme insensitivity to unknown parameters and exceptional resilience to external shocks. Lastly, numerical simulation is used to verify the benefits and efficacy of the suggested control approach.