An Elementary Study of a Class of Dynamic Systems with Single Time Delay

Akio Matsumoto; Ferenc Szidarovszky

doi:10.4067/S0719-06462013000300001

An Elementary Study of a Class of Dynamic Systems with Single Time Delay

Authors

Akio Matsumoto Chuo University, Department of Economics, 742-1, Higashi-Nakano, Hachioji, Tokyo, 192-0393, Japan.
Ferenc Szidarovszky University of Pecs, Department of Applied Mathematics, Pecs, Ifjusag u. 6, H-7624, Pecs, Hungary

DOI:

https://doi.org/10.4067/S0719-06462013000300001

Keywords:

dynamic systems, time delay, stability

Abstract

A complete eigenvalue analysis is given for a certain class of dynamic systems with a single delay. The stability region is determined and it is demonstrated that there is only one stability switch. Special cases from economics, biology and engineering illustrate the importance of such models.

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Published

2013-10-01

How to Cite

[1]

A. Matsumoto and F. Szidarovszky, “An Elementary Study of a Class of Dynamic Systems with Single Time Delay”, CUBO, vol. 15, no. 3, pp. 01–07, Oct. 2013.