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

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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Autores principales:	Matsumoto,Akio, Szidarovszky,Ferenc
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2013
Materias:	dynamic systems time delay stability
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000300001
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spelling	oai:scielo:S0719-064620130003000012018-10-08An Elementary Study of a Class of Dynamic Systems with Single Time DelayMatsumoto,AkioSzidarovszky,Ferenc dynamic systems time delay stability 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.15 n.3 20132013-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000300001en10.4067/S0719-06462013000300001
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	dynamic systems time delay stability
spellingShingle	dynamic systems time delay stability Matsumoto,Akio Szidarovszky,Ferenc An Elementary Study of a Class of Dynamic Systems with Single Time Delay
description	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.
author	Matsumoto,Akio Szidarovszky,Ferenc
author_facet	Matsumoto,Akio Szidarovszky,Ferenc
author_sort	Matsumoto,Akio
title	An Elementary Study of a Class of Dynamic Systems with Single Time Delay
title_short	An Elementary Study of a Class of Dynamic Systems with Single Time Delay
title_full	An Elementary Study of a Class of Dynamic Systems with Single Time Delay
title_fullStr	An Elementary Study of a Class of Dynamic Systems with Single Time Delay
title_full_unstemmed	An Elementary Study of a Class of Dynamic Systems with Single Time Delay
title_sort	elementary study of a class of dynamic systems with single time delay
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2013
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000300001
work_keys_str_mv	AT matsumotoakio anelementarystudyofaclassofdynamicsystemswithsingletimedelay AT szidarovszkyferenc anelementarystudyofaclassofdynamicsystemswithsingletimedelay AT matsumotoakio elementarystudyofaclassofdynamicsystemswithsingletimedelay AT szidarovszkyferenc elementarystudyofaclassofdynamicsystemswithsingletimedelay
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An Elementary Study of a Class of Dynamic Systems with Single Time Delay

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