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-, Dérivation d'un Min Max et application à la dérivation par rapport au contrôle d'une observation non différentiable de l'état, C.R. Acad. Sc. Paris 302 (1986), 571–574.
-, Différentiability of a Min Max and Application to Optimal Control and Design Problems, Parts I and II, in Proc. IFIP WG 7.2 on Control Problems for Systems described by Partial Differential Equations, I. Lasiecka, ed. Gainesville, Flo. Fev. 1986, Optimization Software Inc., New-York, to appear.
M.C. DELFOUR and J.P. ZOLESIO, Shape sensitivity analysis via Min Max differentiability, October 1986.
M.C. DELFOUR, G. PAYRE and J.P. ZOLESIO, Approximation of non-linear problems associated with radiating bodies in space, SIAM J. on Numerical Analysis, to appear.
, Shape optimal design of a radiating fin, in "Systems Modelling and Optimization", P. Thoft-Christensen, ed., pp.810–818, Springer-Verlag, Berlin, New-York 1984.
J. EKELAND and R. TEMAN, Analyse convexe et problèmes variationnels, Dunod, Gauthier-Villars, Paris, Bruxelles, Montréal, 1974.
-, Contrôle dans les inéquations variationnelles elliptiques, J. Funct. Anal. 22 (1976), 130–185.
-, Contrôle optimal d'un système gouverné par une inéquation variationnelle parabolique, C.R. Acad. Sc. Paris 298 (1984), Série I, 277–280.
-, Optimal control in some variational inequalities, SIAM J. Control and Optim. 22 (1984), 466–476.
-, Maximum principle in differential equations, Englewood Cleffs, N.J., Prentice-Hall, 1967.
, Optimal control of strongly monotone variational inequalities, Report CRM — 1346, Centre de Recherches Mathématiques, Université de Montréal, Montréal, Canada, February 1986.
J. SOKOLOWSKI, Conical differentiability of projection on convex sets — an application sensitivity analysis of Signorini variational inequality, Technical Report, Institute of Mathematics of the University of Genova, 1981.
, Sensititivy analysis of contact problems with adhesive friction, Technical Report, University of Florida, Gainesville, Florida, 1986.
, Dérivée par rapport au domaine de la solution d'un problème unilatéral, C.R. Acad. Sc. Paris, Sér. I 301 (1985), 103–106.
J. SOKOLOWSKI and J.P. ZOLESIO, Shape sensitivity analysis of unilatéral problems, SIAM J. on Math. Anal. 18 (1987).
J. ZOLESIO, Identification de domaine. Thèse de doctorat d'état, Nice France, 1979.
, The material derivative, in "Optimization of Distributed Parameter Structures", E.J. Hang and J. Céa, eds. pp. 1457–1473, Sijchoff and Noordhoff, Alphen aan den Rijn, The Netherlands, 1980.
J. ZOLESIO, Differentiability of repeated eigenvalue, in the same proceedings then [2].
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Delfour, M.C., Zolesio, J.P. (1988). Further development in shape sensitivity analysis via penalization method. In: Zolésio, J.P. (eds) Boundary Control and Boundary Variations. Lecture Notes in Control and Information Sciences, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0041916
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DOI: https://doi.org/10.1007/BFb0041916
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