A novel finite‐time terminal observer of a fractional‐order chaotic system with chaos entanglement function

Abstract

This paper has extensively investigated a new fractional-order chaotic system based on a chaos entanglement function. The rich dynamics of the system are observed by various tools such as equilibrium point stability, Lyapunov exponents, bifurcation diagram, and limit cycles. The unexplored hidden multistability is discovered by changing the derivative order and system parameter values. We have also derived a new finite-time terminal observer to estimate the state variables of the fractional-order system whose convergence time solely depends on considered parameters. Simulations are realized to confirm the theoretical results.

A novel entanglement functions-based 4D fractional-order chaotic system and its bifurcation analysis

“…Eshaghi et al [47] reported the first 3D fractional-order chaotic system based on entanglement functions and studied its dynamic behaviors. Subsequently, some 3D fractional-order chaotic dynamical systems with entanglement functions exhibiting various dynamic characteristics have been proposed [48,49]. However, to the best of our knowledge, scarce works have dealt with constructing high-dimensional fractional-order chaotic systems via the chaotic entanglement method.…”

Utilizing Fractional Artificial Neural Networks for Modeling Cancer Cell Behavior

“…Adaptive global synchronization within a predetermined time interval for two chaotic systems with fractional-order dynamics and time delays is proposed in [18]. In [19], a comprehensive examination of a novel fractional-order chaotic system driven by a chaos entanglement function is conducted through multiple analytical tools. Moreover, a novel finite-time terminal observer is designed in this study for the estimation of the state variables of the fractional-order system.…”