186,580 research outputs found

    Corrigendum to : “On the circle criterion for boundary control systems in factor form : Lyapunov stability and Lur'e equations”

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    A corrected version of [P. Grabowski and F.M. Callier, ESAIM: COCV 12 (2006) 169–197], Theorem 4.1, p. 186, and Example, is given

    Portuguese Studies Review, vol. 8, n° 2, 2000

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    Callier-Boisvert Colette. Portuguese Studies Review, vol. 8, n° 2, 2000. In: Recherches en anthropologie au Portugal, n°1, 2001. La ville sensible. p. 144

    Lusotopie, 2000, Lusophonies asiatiques, Asiatiques en lusophonies

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    Callier-Boisvert Colette. Lusotopie, 2000, Lusophonies asiatiques, Asiatiques en lusophonies. In: Recherches en anthropologie au Portugal, n°1, 2001. La ville sensible. p. 143

    François Guichard, ed., Articulation des territoires dans la péninsule ibérique, 2001

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    Callier-Boisvert Colette. François Guichard, ed., Articulation des territoires dans la péninsule ibérique, 2001. In: Lusotopie, n°8, 2001. Timor Les défis de l'indépendance. p. 370

    Portuguese Studies Review, vol. 8, n° 2, 2000

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    Callier-Boisvert Colette. Portuguese Studies Review, vol. 8, n° 2, 2000. In: Recherches en anthropologie au Portugal, n°1, 2001. La ville sensible. p. 144

    Michel Agier, Anthropologie du Carnaval. La ville, la fête et l'Afrique à Bahia

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    Callier-Boisvert Colette. Michel Agier, Anthropologie du Carnaval. La ville, la fête et l'Afrique à Bahia. In: Recherches en anthropologie au Portugal, n°1, 2001. La ville sensible. p. 145

    Portugese Stories Review ; Spring-Summer 1999, Volume 7, n° 2 : « Macau Past and Present : a Reflecting Pool ».

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    Callier-Boisvert Colette. Portugese Stories Review ; Spring-Summer 1999, Volume 7, n° 2 : « Macau Past and Present : a Reflecting Pool ».. In: Recherches en anthropologie au Portugal, n°1, 2000. « Benjamim Enes Pereira ». p. 127

    Portugese Stories Review ; Spring-Summer 1999, Volume 7, n° 2 : « Macau Past and Present : a Reflecting Pool ».

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    Callier-Boisvert Colette. Portugese Stories Review ; Spring-Summer 1999, Volume 7, n° 2 : « Macau Past and Present : a Reflecting Pool ».. In: Recherches en anthropologie au Portugal, n°1, 2000. « Benjamim Enes Pereira ». p. 127

    On the asymptotic behavior of the projection Riccati differential equation

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    The solution of the Riccati differential equation is reported to be asymptotically close to the solution of the projection Riccati differential equation (PRDE). The asymptotic behavior of the latter is analyzed on an explicit formula. The almost periodic asymptote of the solution of the PRDE is computed by an algorithm based upon the concepts of aperiodic- almost-periodic generator decomposition of a linear map, and row-staircase form of a polynomial matrix. The analysis provides ultimately a convergence criterion.</p

    Circle criterion and boundary control systems in factor form: input-output approach

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    A circle criterion is obtained for a SISO Lur'e feedback control system consisting of a nonlinear static sector-type controller and a linear boundary control system in factor form on an infinite-dimensional Hilbert state space H previously introduced by the authors (Grabowski and Callier, 1999). It is assumed for the latter that (a) the observation functional is infinite-time admissible, (b) the factor control vector satisfies a compatibility condition, and (c) the transfer function belongs to Hinfty(Pi+) and satisfies a frequency-domain inequality of the circle criterion type. We also require that the closed-loop system be well-posed, i.e. for any initial state x0in H the truncated input and output signals uT, yT belong to L2(0,T) for any T>0. The technique of the proof adapts Desoer-Vidyasagar's circle criterion method (Desoer and Vidyasagar, 1975, Ch.3, Secs.1 and 2, pp.37-43, Ch.5, Sec.2, pp.139-142 and Ch.6, Secs.3 and 4, pp.172-174]), and uses the input-output map developed by the authors (Grabowski and Callier, 2001). The results are illustrated by two transmission line examples: (a) that of the loaded distortionless RLCG type, and (b) that of the unloaded RC type. The conclusion contains a discussion on improving the results by the loop-transformation technique
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