Stability of x(t)=Ax(t)+Bx(t- tau )
- 1 April 1989
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 34 (4) , 460-462
- https://doi.org/10.1109/9.28025
Abstract
A stability criterion for linear time-delay systems described by a differential difference equation of the form dx(t)=Ax(t)+Bx(t- tau ) is proposed. The result obtained includes information on the size of the delay and therefore can be a delay-dependent stability condition. Its relation to existing delay-independent stability criteria is also discussed.Keywords
This publication has 12 references indexed in Scilit:
- A method for computing the interval of delay values for which a differential-delay system is stableIEEE Transactions on Automatic Control, 1988
- α-Stability of systems governed by a functional differential equation— extension of results concerning linear delay systemsInternational Journal of Control, 1987
- Correction to "Linear systems with commensurate time delays: Stability and stabilization independent of delay"IEEE Transactions on Automatic Control, 1983
- On an estimate of the decay rate for stable linear delay systemsInternational Journal of Control, 1982
- On stability independent of delay for linear systemsIEEE Transactions on Automatic Control, 1982
- Multivariable Feedback: A Quasi-Classical ApproachPublished by Springer Nature ,1982
- On the relationship between zero criteria for two-variable polynomials and asymptotic stability of delay differential equationsIEEE Transactions on Automatic Control, 1980
- Necessary and sufficient conditions for delay-independent stability of linear autonomous systemsIEEE Transactions on Automatic Control, 1980
- Theory of Functional Differential EquationsPublished by Springer Nature ,1977
- Feedback Systems: Input-Output PropertiesJournal of Dynamic Systems, Measurement, and Control, 1975