Vector lyapunov function based stability for a class of impulsive systems

Hector Rios; Laurentiu Hetel; Denis Efimov

doi:10.1109/CDC.2015.7402541

Vector lyapunov function based stability for a class of impulsive systems

Hector Rios, Laurentiu Hetel, Denis Efimov

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

8 Scopus citations

Abstract

This paper contributes to the exponential stability analysis for impulsive dynamical systems based on a vector Lyapunov function and its divergence operator. The method relies on a 2D time domain representation. The results are applied to analyze the exponential stability of linear impulsive systems based on LMIs. Some examples illustrate the feasibility of the proposed approach.

Original language	English
Title of host publication	54rd IEEE Conference on Decision and Control,CDC 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2247-2251
Number of pages	5
ISBN (Electronic)	9781479978861
DOIs	https://doi.org/10.1109/CDC.2015.7402541
State	Published - 8 Feb 2015
Event	54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan Duration: 15 Dec 2015 → 18 Dec 2015

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	54th IEEE Conference on Decision and Control, CDC 2015
Country/Territory	Japan
City	Osaka
Period	15/12/15 → 18/12/15

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

Keywords

Exponential stability
Impulsive systems

Access to Document

10.1109/CDC.2015.7402541

Cite this

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Rios, H, Hetel, L & Efimov, D 2015, Vector lyapunov function based stability for a class of impulsive systems. in 54rd IEEE Conference on Decision and Control,CDC 2015., 7402541, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 2247-2251, 54th IEEE Conference on Decision and Control, CDC 2015, Osaka, Japan, 15/12/15. https://doi.org/10.1109/CDC.2015.7402541

Vector lyapunov function based stability for a class of impulsive systems. / Rios, Hector; Hetel, Laurentiu; Efimov, Denis.
54rd IEEE Conference on Decision and Control,CDC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 2247-2251 7402541 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Hetel, Laurentiu

AU - Efimov, Denis

PY - 2015/2/8

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N2 - This paper contributes to the exponential stability analysis for impulsive dynamical systems based on a vector Lyapunov function and its divergence operator. The method relies on a 2D time domain representation. The results are applied to analyze the exponential stability of linear impulsive systems based on LMIs. Some examples illustrate the feasibility of the proposed approach.

AB - This paper contributes to the exponential stability analysis for impulsive dynamical systems based on a vector Lyapunov function and its divergence operator. The method relies on a 2D time domain representation. The results are applied to analyze the exponential stability of linear impulsive systems based on LMIs. Some examples illustrate the feasibility of the proposed approach.

KW - Exponential stability

KW - Impulsive systems

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M3 - Contribución a la conferencia

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BT - 54rd IEEE Conference on Decision and Control,CDC 2015

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T2 - 54th IEEE Conference on Decision and Control, CDC 2015

Y2 - 15 December 2015 through 18 December 2015

ER -

Vector lyapunov function based stability for a class of impulsive systems

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