Geodesic
Control of distributed delay systems with uncertainties: a generalized Popov theory approach
Kybernetika, Tome 37 (2001) no. 3, pp. 325-343

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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 $\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.
Classification : 93C23, 93C41, 93D10, 93D30
Keywords: Popov theory; time-delay system; uncertainty 
@article{KYB_2001__37_3_a8,
     author = {Ivanescu, Dan and Niculescu, Silviu-Iulian and Dion, Jean-Michel and Dugard, Luc},
     title = {Control of distributed delay systems with uncertainties: a generalized {Popov} theory approach},
     journal = {Kybernetika},
     pages = {325--343},
     publisher = {mathdoc},
     volume = {37},
     number = {3},
     year = {2001},
     mrnumber = {1859089},
     zbl = {1265.93197},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2001__37_3_a8/}
}
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Ivanescu, Dan; Niculescu, Silviu-Iulian; Dion, Jean-Michel; Dugard, Luc. Control of distributed delay systems with uncertainties: a generalized Popov theory approach. Kybernetika, Tome 37 (2001) no. 3, pp. 325-343. http://geodesic.mathdoc.fr/item/KYB_2001__37_3_a8/