Skip to Main content Skip to Navigation
Journal articles

Stability Analysis for Time-Varying Systems with Delay using Linear Lyapunov Functionals and a Positive Systems Approach

Abstract : We prove stability of time-varying systems with delays, using linear Lyapunov functionals and positive systems, and we provide robustness of the stability with respect to multiplicative uncertainty in the vector fields. We allow cases where the delay may be unknown, and where the vector fields defining the systems are not necessarily bounded. We illustrate our work using a chain of integrators and other examples.
Document type :
Journal articles
Complete list of metadatas

Cited literature [22 references]  Display  Hide  Download

https://hal.inria.fr/hal-01257336
Contributor : Frederic Mazenc <>
Submitted on : Saturday, January 16, 2016 - 9:43:43 AM
Last modification on : Thursday, July 9, 2020 - 4:08:02 PM
Document(s) archivé(s) le : Sunday, April 17, 2016 - 10:30:57 AM

File

4June2015.pdf
Files produced by the author(s)

Identifiers

Citation

Frédéric Mazenc, Michael Malisoff. Stability Analysis for Time-Varying Systems with Delay using Linear Lyapunov Functionals and a Positive Systems Approach. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2016, 61 (3), pp.771-776. ⟨10.1109/TAC.2015.2446111⟩. ⟨hal-01257336⟩

Share

Metrics

Record views

483

Files downloads

537