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The moment-SOS hierarchy : lectures in probability, statistics, computational geometry, control and nonlinear PDEs / Didier Henrion, Milan Korda, Jean B. Lasserre

By: Contributor(s): Resource type: Ressourcentyp: BuchBookLanguage: English Series: Series on optimization and its applications ; vol. 4Publisher: New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo : World Scientific, [2021]Description: xvii, 229 Seiten : IllustrationenISBN:
  • 9781786348531
  • 9781786348548
Subject(s): Additional physical formats: 9781786348548 MSC: MSC: 90-01 | 60-01 | 62-02 | 90C25 | 90C05 | 90C90LOC classification:
  • QA402.5
DOI: DOI: 10.1007/978-1-78634-855-5Summary: Notation, definitions and preliminaries -- Principle of the moment-SOS hierarchy -- Volume and Gaussian measure of semi-algebraic sets -- Lebesgue decomposition of a measure -- Super resolution on semi-algebraic domains -- Space polynomial interpolation -- Representation of (probabilistic) chance-constraints -- Approximate optimal design -- Optimal control -- Convex computation of region of attraction and reachable set -- Nonlinear partial differential equations -- Miscellaneous.Summary: "It covers applications of a very different nature in a unified manner with an appropriate level of details for a general audience. For all these applications (not covered in previous books of the third author), this methodology is new and unconventional. All three authors are well-respected researchers in control and applied mathematics"--PPN: PPN: 1727397266
Item type Home library Shelving location Call number Status Date due Barcode Item holds
Freihandbestand ausleihbar Fachbibliothek Mathematik Bibliothek / frei aufgestellt Stoch. / Hen Available 36607310090
Total holds: 0

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