An nD-systems approach to global polynomial optimization with an application to H2 model order reduction

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Abstract

The problem of finding the global minimum of a multivariate polynomial can be approached by the matrix method of Stetter-Moller, which reformulates it as a large eigenvalue problem. The linear operators involved in this approach are studied using the theory of nD-systems. This supports the efficient application of iterative methods for solving eigenvalue problems such as Arnoldi methods and Jacobi-Davidson methods. This approach is demonstrated by an example which addresses optimal H2-model reduction of a linear dynamical model of order 10 to order 9. Index Terms: global polynomial optimization, Stetter-Moller matrix method, linear operator, nD-system, large eigenvalue problem, H2 model reduction
Original languageEnglish
Title of host publicationProceedings of CDC-ECC 2005: 44th IEEE Conference on Decision and Control and European Control Conference 2005
Place of PublicationSevilla
Publication statusPublished - 1 Jan 2005
Event44th IEEE Conference on Decision and Control and European Control Conference 2005 -
Duration: 12 Dec 200515 Dec 2005

Conference

Conference44th IEEE Conference on Decision and Control and European Control Conference 2005
Period12/12/0515/12/05

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