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

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DOI:

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

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.

Keywords

dynamic systems , time delay , stability
  • 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
  • Pages: 01–07
  • Date Published: 2013-10-01
  • Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal

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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.

Issue

Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal

Section

Articles