## Boundary control and boundary variation: proceedings of IFIP WG 7.2 Conference, Sophia-Antipolis, France, October 15-17, 1990This volume comprises selected papers presented at the IFIP WG 7.2 Working Conference on Boundary Control and Boundary Variation held in Sophia-Antipolis, France in October 1990. From the contents: A. Bensoussan: Exact Controllability for Linear Dynamic Systems with Skew Symmetric Operators; P. Cannarsa and F. Gozzi: On the Smoothness of the Value Function Along Optimal Trajectories; D. Cioranescu and J. Saint Jean-Paulin: Truss Structures: Fourier Conditions and Eigenvalue Problem; G.da Prao and J.P. Zol sio: Boundary Control for Inverse Free Boundary Problems; R. Glowinski: Boundary Controllability Problems for the Wave and Heat Equations; R. Triggiani: Regularity with Interior Point Control. |

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### Contents

AndreaNovel F Boustany F Conrad | 1 |

A Bensoussan | 27 |

G Buttazzo | 50 |

Copyright | |

13 other sections not shown

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Boundary Control and Boundary Variation: Proceedings of IFIP WG 7.2 ... Jean P. Zolesio No preview available - 2014 |

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analytic semigroup apply approximation assume assumptions asymptotic Banach space boundary conditions bounded BPS(D coefficients compact compute constant constraint converges corresponding cost function defined denote derivative dimensional compensator Dirichlet Dirichlet problem discretization eigenvalue energy equivalent estimates exact controllability example exists feedback finite dimensional formulation free boundary problem given grad heat equation Hilbert space holds homogeneous hypothesis initial data integral J.L. Lions Lemma limit linear Math matrix measurable set measurable subset method minimization problem Moreover Neumann nonlinear norm numerical obtain open set operator optimal control parameter partial differential equations problem 1.1 proof of Theorem properties Proposition prove regularity relaxed Remark resp respect Riccati equation saddle point satisfies second order semigroup shape optimization smooth Sobolev Sobolev space solve stability Theorem 3.1 unique solution variable variational inequality vector wave equation weak topology weakly zero Zolesio