Control Theory and Optimization

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source: Centre International de Rencontres Mathématiques    2015年8月10日
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We review basic properties of the moment-LP and moment-SOS hierarchies for polynomial optimization and compare them. We also illustrate how to use such a methodology in two applications outside optimization. [...]
Recording during the thematic meeting: "Geometry and algebra of linear matrix inequalities" the November 12, 2013 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent

Jean-Bernard Lasserre: The moment-LP and moment-SOS approaches 53:13
Stephan Volkwein: POD a-posteriori error estimation for PDE constrained optimization 1:32:07
Luc Robbiano: A spectral inequality for the bi-Laplace operator 54:49
Olivier Glass: Control of the motion of a set of particles 57:18
Giuseppe Buttazzo: Dirichlet-Neumann shape optimization problems 55:51
Jean-Michel Coron: Linear transformations for the stabilization of nonlinear PDE 48:38
Arnaud Münch : Inverse problems for linear PDEs using mixed formulations 48:27
Frank Morgan: Isoperimetry with density 42:47
Filippo Gazzola: A minimaxmax problem for improving the torsional stability of rectangular plates 37:55
Susanna Terracini : Regularity of the optimal sets for spectral functionals 43:00
Cristina Trombetti: On the stability of the Bossel-Daners inequality 38:08
Ilaria Fragalà: Some new inequalities for the Cheeger constant 41:07

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