# 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

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topIvanescu, 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 -

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