Open Access Open Access  Restricted Access Subscription or Fee Access

Linear Feedback Control of Incommensurate Fractional-order Financial System

Zhengfei Wu, Quanbao Ji


This paper discusses the stability of incommensurate fractional-order financial system by means of linear state feedback control. Based on the Mittag-Leffler function, the Gronwall inequality, Laplace transform and the stability theory of the fractional-order linear differential equations, a linear controller is designed and a sufficient condition for the stabilization of the system is given. Finally, simulation results are carried out to show that the proposed control method is easy to construct and reliable.


Chaotic systems, Fractional-order financial system, Linear state feedback control.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.