System optimization by oscillation and stability criteria
type: Item
instance of: scholarly article
title: System optimization by oscillation and stability criteria
zbMATH Open document ID: 0907.93052
published in: Journal of Computer and Systems Sciences International
publication date: 1998-08-03T00:00:00Z
review text: The purpose of this important paper is to study a question concerning the generalized eigenvalue problem with self-adjoint and positive definite matrix operators. The problem of minimum eigenvalue maximization under constraints on the designed parameters of the system is stated. The constraints are given in the form of equalities and inequalities. The general case of the \(N\)-fold extreme eigenvalue is considered. Necessary conditions for a maximum similar to Kuhn-Tucker conditions are obtained. The conditions can be used for analytical and numerical studies and for the solution of optimal design problems. Cases when the necessary conditions of the extremum hold or do not hold are shown by given examples.
Mathematics Subject Classification ID: 93D99
Mathematics Subject Classification ID: 93B60
Mathematics Subject Classification ID: 74P05
Mathematics Subject Classification ID: 74M05
zbMATH DE Number: 1158002
zbMATH Keywords: optimal structural design
zbMATH Keywords: necessary conditions
zbMATH Keywords: generalized eigenvalue problem
zbMATH Keywords: matrix operators
zbMATH Keywords: minimum eigenvalue maximization
zbMATH Keywords: Kuhn-Tucker conditions
author: Alexander P. Seyranian
reviewed by: Jan Lovíšek
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1158002