Control of distributed delay systems with uncertainties: a generalized Popov theory approach

Dan Ivanescu; Silviu-Iulian Niculescu; Jean-Michel Dion; Luc Dugard

Kybernetika (2001)

  • Volume: 37, Issue: 3, page 325-343
  • ISSN: 0023-5954

Abstract

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The paper deals with the generalized Popov theory applied to uncertain systems with distributed time delay. Sufficient conditions for stabilizing this class of delayed systems as well as for γ -attenuation achievement are given in terms of algebraic properties of a Popov system via a Liapunov–Krasovskii functional. The considered approach is new in the context of distributed linear time-delay systems and gives some interesting interpretations of H ∞ memoryless control problems in terms of Popov triplets and associated objects. The approach is illustrated via numerical examples. Dedicated to Acad. Vlad Ionescu, in memoriam.

How to cite

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Ivanescu, Dan, et al. "Control of distributed delay systems with uncertainties: a generalized Popov theory approach." Kybernetika 37.3 (2001): 325-343. <http://eudml.org/doc/33538>.

@article{Ivanescu2001,
abstract = {The paper deals with the generalized Popov theory applied to uncertain systems with distributed time delay. Sufficient conditions for stabilizing this class of delayed systems as well as for $\gamma $-attenuation achievement are given in terms of algebraic properties of a Popov system via a Liapunov–Krasovskii functional. The considered approach is new in the context of distributed linear time-delay systems and gives some interesting interpretations of $H^\infty $ memoryless control problems in terms of Popov triplets and associated objects. The approach is illustrated via numerical examples. Dedicated to Acad. Vlad Ionescu, in memoriam.},
author = {Ivanescu, Dan, Niculescu, Silviu-Iulian, Dion, Jean-Michel, Dugard, Luc},
journal = {Kybernetika},
keywords = {Popov theory; time-delay system; uncertainty; Popov theory; time-delay system; uncertainty},
language = {eng},
number = {3},
pages = {325-343},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Control of distributed delay systems with uncertainties: a generalized Popov theory approach},
url = {http://eudml.org/doc/33538},
volume = {37},
year = {2001},
}

TY - JOUR
AU - Ivanescu, Dan
AU - Niculescu, Silviu-Iulian
AU - Dion, Jean-Michel
AU - Dugard, Luc
TI - Control of distributed delay systems with uncertainties: a generalized Popov theory approach
JO - Kybernetika
PY - 2001
PB - Institute of Information Theory and Automation AS CR
VL - 37
IS - 3
SP - 325
EP - 343
AB - The paper deals with the generalized Popov theory applied to uncertain systems with distributed time delay. Sufficient conditions for stabilizing this class of delayed systems as well as for $\gamma $-attenuation achievement are given in terms of algebraic properties of a Popov system via a Liapunov–Krasovskii functional. The considered approach is new in the context of distributed linear time-delay systems and gives some interesting interpretations of $H^\infty $ memoryless control problems in terms of Popov triplets and associated objects. The approach is illustrated via numerical examples. Dedicated to Acad. Vlad Ionescu, in memoriam.
LA - eng
KW - Popov theory; time-delay system; uncertainty; Popov theory; time-delay system; uncertainty
UR - http://eudml.org/doc/33538
ER -

References

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