The authors propose some techniques to obtain stability conditions for certain differential equations with delay. These techniques are applied to three concrete test situations. In the first and second cases, they consider equations without instantaneous dissipative terms. This is important because in real situations, such as control theory, finite time is necessary to measure characteristics of the object and to treat the results of the measurements in order to create control action. In the last section, general results are presented for the chemostat model. These test equations are interesting examples for a forthcoming investigation concerning stability of numerical methods
Stability of some test equations with delay
VERMIGLIO, Rossana
1994-01-01
Abstract
The authors propose some techniques to obtain stability conditions for certain differential equations with delay. These techniques are applied to three concrete test situations. In the first and second cases, they consider equations without instantaneous dissipative terms. This is important because in real situations, such as control theory, finite time is necessary to measure characteristics of the object and to treat the results of the measurements in order to create control action. In the last section, general results are presented for the chemostat model. These test equations are interesting examples for a forthcoming investigation concerning stability of numerical methodsI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.