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Solving nonconvex optimization problems

Result description

It is well known that most analysis and design problems in robust and nonlinear control can be formulated as global optimization problems with polynomial objective functions and constraints. The objective of this article is to show how GloptiPoly can solve challenging nonconvex optimization problems in robust nonlinear control. GloptiPoly is a general-purpose software with a user-friendly interface. First, we describe several nonconvex optimization problems arising in control system analysis and design.

Keywords

nonconvex optimizationLMI methods

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Solving nonconvex optimization problems

  • Original language description

    It is well known that most analysis and design problems in robust and nonlinear control can be formulated as global optimization problems with polynomial objective functions and constraints. The objective of this article is to show how GloptiPoly can solve challenging nonconvex optimization problems in robust nonlinear control. GloptiPoly is a general-purpose software with a user-friendly interface. First, we describe several nonconvex optimization problems arising in control system analysis and design.

  • Czech name

    Reseni nekonvexnich optimalizacnich problemu

  • Czech description

    Tento clanek pojednava o softwaru GloptiPoly pro vypocet optima polynomialniho kriteria pri polynomialnich omezujicich podminkach. Aplikace v robustnim a nelinearnim rizeni

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BC - Theory and management systems

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2004

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    IEEE Control Systems Magazine

  • ISSN

    0272-1708

  • e-ISSN

  • Volume of the periodical

    24

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    12

  • Pages from-to

    72-83

  • UT code for WoS article

  • EID of the result in the Scopus database

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BC - Theory and management systems

Year of implementation

2004