Controllability result of nonlinear higher order fractional damped dynamical system

Abstract

In this paper, we investigate the controllability of nonlinear fractional damped dynamical system, which involved fractional Caputo derivatives of any different orders. In the process of proof, we mainly use the Schaefer's fixed-point theorem and Mittag-Leffler matrix function. At last, we give an example to illustrate our main result.

Controllability of Fractional Complex Networks

“…It is worth noting that while the controllability of integer-order complex networks is relatively mature, the controllability results of fractional networks are still in their infancy. Some papers have addressed the controllability of fractional systems [21][22][23][24][25], but only a few papers have delved into the controllability of fractional complex networks because of their inherent complexity and long memory characteristics. Zhang et al [26] examined the controllability of linear fractional directed complex networks, and subsequently, they [27] extended this work to explore the controllability of linear fractional dynamical networks with specific topological structures.…”

Controllability of Higher Order Fractional Damped Delay Dynamical Systems with Time Varying Multiple Delays in Control

“…Al-rabth et al [3] used the dierential transform method to solve a fractional oscillator system. Recently, some researchers [7,19,21] has discussed the controllability of fractional damped dynamical systems.…”