Construction of regions of stability for non-linear systems containing time delays†
- 1 December 1970
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 12 (6) , 961-976
- https://doi.org/10.1080/00207177008931910
Abstract
A method has been developed for constructing regions of stability for non-linear systems containing time delays. This method, based on modified Liapunov stability theorems, is applicable to higher-dimensional systems containing several time delays or time-varying delays. A reactor example is presented to illustrate the method.Keywords
This publication has 7 references indexed in Scilit:
- Stability of high dimensional nonlinear systems using Krasovskii's theoremAIChE Journal, 1969
- On stability criteria of chemical reaction engineeringChemical Engineering Science, 1969
- Stability properties of discrete-continuous feedback control systems with signal dependent sampling I. A bibliographical surveyInternational Journal of Control, 1968
- STABILITY VIA LIAPUNOV'S SECOND METHODIndustrial & Engineering Chemistry, 1968
- Sufficient conditions for stability and instability of autonomous functional-differential equationsJournal of Differential Equations, 1965
- Chemical reactor stability by Liapunov's direct methodAIChE Journal, 1964
- Some Extensions of Liapunov's Second MethodIRE Transactions on Circuit Theory, 1960