On delay-dependent robust stability under model transformation of some neutral systems

Salvador A. Rodríguez; Luc Dugard; Jean-Michel Dion; Jesús de León

Kybernetika (2009)

  • Volume: 45, Issue: 5, page 825-840
  • ISSN: 0023-5954

Abstract

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This paper focuses on the delay-dependent robust stability of linear neutral delay systems. The systems under consideration are described by functional differential equations, with norm bounded time varying nonlinear uncertainties in the "state" and norm bounded time varying quasi-linear uncertainties in the delayed "state" and in the difference operator. The stability analysis is performed via the Lyapunov-Krasovskii functional approach. Sufficient delay dependent conditions for robust stability are given in terms of the existence of positive definite solutions of LMIs.

How to cite

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Rodríguez, Salvador A., et al. "On delay-dependent robust stability under model transformation of some neutral systems." Kybernetika 45.5 (2009): 825-840. <http://eudml.org/doc/37703>.

@article{Rodríguez2009,
abstract = {This paper focuses on the delay-dependent robust stability of linear neutral delay systems. The systems under consideration are described by functional differential equations, with norm bounded time varying nonlinear uncertainties in the "state" and norm bounded time varying quasi-linear uncertainties in the delayed "state" and in the difference operator. The stability analysis is performed via the Lyapunov-Krasovskii functional approach. Sufficient delay dependent conditions for robust stability are given in terms of the existence of positive definite solutions of LMIs.},
author = {Rodríguez, Salvador A., Dugard, Luc, Dion, Jean-Michel, León, Jesús de},
journal = {Kybernetika},
keywords = {time-delay systems; neutral system; stability; stability; time-delay systems; neutral system},
language = {eng},
number = {5},
pages = {825-840},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On delay-dependent robust stability under model transformation of some neutral systems},
url = {http://eudml.org/doc/37703},
volume = {45},
year = {2009},
}

TY - JOUR
AU - Rodríguez, Salvador A.
AU - Dugard, Luc
AU - Dion, Jean-Michel
AU - León, Jesús de
TI - On delay-dependent robust stability under model transformation of some neutral systems
JO - Kybernetika
PY - 2009
PB - Institute of Information Theory and Automation AS CR
VL - 45
IS - 5
SP - 825
EP - 840
AB - This paper focuses on the delay-dependent robust stability of linear neutral delay systems. The systems under consideration are described by functional differential equations, with norm bounded time varying nonlinear uncertainties in the "state" and norm bounded time varying quasi-linear uncertainties in the delayed "state" and in the difference operator. The stability analysis is performed via the Lyapunov-Krasovskii functional approach. Sufficient delay dependent conditions for robust stability are given in terms of the existence of positive definite solutions of LMIs.
LA - eng
KW - time-delay systems; neutral system; stability; stability; time-delay systems; neutral system
UR - http://eudml.org/doc/37703
ER -

References

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