On the absolute stability of sampled-data systems: The "Indirect control" case
- 1 April 1964
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 9 (2), 160-163
- https://doi.org/10.1109/tac.1964.1105653
Abstract
A study is made of the problem of absolute stability or "Lur'e problem" in the case of a sampled-data control system containing one integrator in the loop. By the second method of Liapunov, a frequency-domain inequality is obtained which is shown to be a sufficient condition for the absolute stability of the class of systems under investigation. This inequality improves inequalities of similar type which have been obtained by means of the Popov approach.Keywords
This publication has 5 references indexed in Scilit:
- On the Asymptotic Stability of a Class of Saturating Sampled-Data SystemsIEEE Transactions on Applications and Industry, 1964
- On the stability of a certain class of nonlinear sampled-data systemsIEEE Transactions on Automatic Control, 1964
- ON THE ABSOLUTE STABILITY OF SAMPLED-DATA CONTROL SYSTEMSProceedings of the National Academy of Sciences, 1963
- Mathematical Description of Linear Dynamical SystemsJournal of the Society for Industrial and Applied Mathematics Series A Control, 1963
- Über die Anwendung der Methode von Ljapunov auf DifferenzengleichungenMathematische Annalen, 1958