Year: 2011
Type: article
Abstract: Our comments point out some mistakes in the main theorem given by Yang and Qi in Ref. [ 1 ] concerning the equivalent passivity method to design a nonlinear controller for the stabilizing fractional order unified chaotic system. The proof of this theorem is not reliable, since the mathematical basis of the fractional order calculus is not considered. Moreover, there are some algebraic mistakes in the inequalities used, thus making the proof invalid. We propose a proper Lyapunov function and the stability of Yang and Qi's Controller is investigated based on the fractional order Lyapunov theorem.
Source: Chinese Physics B
Authors: Elham Amini Boroujeni, Hamid Reza Momeni
Institution: Tarbiat Modares University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W48114288