Control and Synchronization of Fractional-Order Financial System Based on Linear Control-Reference-Cited by-同舟云学术

Control and Synchronization of Fractional-Order Financial System Based on Linear Control

Published:2011 Issue: Volume:2011 Page:1-21
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Chen Liping¹,Chai Yi¹,Wu Ranchao²

Affiliation:

1. School of Automation, Chongqing University, Chongqing 400030, China

2. School of Mathematics, Anhui University, Hefei 230039, China

Abstract

Control and synchronization of the financial systems with fractional-order are discussed in this paper. Based on the stability theory of fractional-order differential equations, Routh-Hurwitz stability condition, and by using linear control, simpler controllers are designed to achieve control and synchronization of the fractional-order financial systems. The proposed controllers are linear and easy to implement, which have improved the existing results. Theoretical analysis and numerical simulations are shown to demonstrate the validity and feasibility of the proposed method.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2011/958393.pdf

Reference31 articles.

1. Goodwin's Nonlinear Theory of the Business Cycle: An Electro-Analog Solution

2. NONLINEAR DYNAMICS AND CHAOS IN MACROECONOMICS

3. Chaotic business cycles and fiscal policy: An IS-LM model with distributed tax collection lags

4. Chaos in duopoly pricing

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