Control of Economic Situations by Utilizing an Electronic Circuit

Control of Economic Situations by Utilizing an Electronic Circuit

S.G. Stavrinides (Computer Science Department, University of Thessaly, Lamia, Greece), M.P. Hanias (Department of Electronics, Computers, Telecommunications and Control, National and Kapodistrian University of Athens, Athens, Greece), L. Magafas (Department of Electrical Engineering, Kavala Institute of Technology, Kavala, Greece) and S. Banerjee (Laboratory of Cryptography, Analysis and Structure, Institute for Mathematical Research, University Putra Malaysia, Malaysia)
Copyright: © 2015 |Pages: 15
DOI: 10.4018/IJPMAT.2015070101
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Abstract

In this paper a circuit (physical system), implementing a financial system with time-delayed feedbacks, is designed and studied. The simple form of this dynamical system, without any time-delayed feed, has been already investigated and was found to demonstrate both a periodic and chaotic behavior. By introducing the time-delayed feedback, according to the Pyragas method, control of the circuit's-system's chaotic behaviour could be achieved. Its overall operation was simulated, using NI's Multisim and control of its behaviour was achieved by controlling feedback delay-time of a certain system variable, corresponding to a financial variable.
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2. A Finance Chaotic Model

A dynamical system modeling a finance system was reported in (Ma & Chen, Part I, 2001) and an initial study of its behavior appeared in (Ma & Chen, Part II, 2001). This financial model was governed by a third-order set of differential equations appearing in (1).

(1)
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