
handle: 11336/211220
Two different methods for the stability and bifurcation analyses of neutral delay differential equations are presented. The first one relies on classical techniques and it is oriented to the study of the roots of the characteristic equation, which is a transcendental one. It provides a straightforward test to obtain the stability chart in the parameter space of the studied system. The second method uses a frequency-domain approach, based on the control theory, to determine the stability and dynamic bifurcations, and also providing approximations for the smooth oscillations appearing when the system loses its stability.
Fil: Gentile, Franco Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages". Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages"; Argentina
Fil: Moiola, Jorge Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages". Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages"; Argentina
Fil: Itovich, Griselda Rut. Universidad Nacional de Río Negro. Sede Alto Valle. Escuela de Producción, Tecnología y Medio Ambiente; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Comité organizador de la Reunión de Trabajo en Procesamiento de la Información y Control
XVIII Reunión de Trabajo en Procesamiento de la Información y Control
Bahia Blanca
Argentina
Stability of equilibrium, Neutral delay differential equations, https://purl.org/becyt/ford/1.1, Hopf bifurcation, https://purl.org/becyt/ford/1
Stability of equilibrium, Neutral delay differential equations, https://purl.org/becyt/ford/1.1, Hopf bifurcation, https://purl.org/becyt/ford/1
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