Skip to Main content Skip to Navigation
Conference papers

Stability Analysis for Nonlinear Time-Delay Systems Applying Homogeneity

Denis Efimov 1, 2 Andrey Polyakov 1 Wilfrid Perruquetti 1, 2, 3 Jean-Pierre Richard 1, 2, 3
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : Global delay independent stability is analyzed for nonlinear time-delay systems applying homogeneity theory. The results of [1] are extended to the case of non-zero degree of homogeneity. Several tools for stability analysis in time-delay systems using homogeneity are presented: in particular, it is shown that if a time-delay system is homogeneous with nonzero degree and it is globally asymptotically stable for some delay, then this property is preserved for any delay value, which is known as the independent of delay (IOD) stability. The results are illustrated by numerical experiments.
Document type :
Conference papers
Complete list of metadatas

Cited literature [22 references]  Display  Hide  Download

https://hal.inria.fr/hal-01066296
Contributor : Denis Efimov <>
Submitted on : Friday, September 19, 2014 - 3:15:45 PM
Last modification on : Tuesday, September 29, 2020 - 12:24:14 PM
Long-term archiving on: : Saturday, December 20, 2014 - 11:46:03 AM

File

FTS_time_delay_CDC.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01066296, version 1

Collections

Citation

Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti, Jean-Pierre Richard. Stability Analysis for Nonlinear Time-Delay Systems Applying Homogeneity. IEEE CDC 2014, Dec 2014, LA, United States. ⟨hal-01066296⟩

Share

Metrics

Record views

419

Files downloads

414