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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Detalles Bibliográficos
Autores principales: Matsumoto,Akio, Szidarovszky,Ferenc
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2013
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000300001
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Descripción
Sumario: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.