Solving minimum norm problems using penalty functions and the gradient method
type: Item
instance of: scholarly article
title: Solving minimum norm problems using penalty functions and the gradient method
zbMATH Open document ID: 0819.93029
DOI: 10.1016/0005-1098(94)00072-Q
author: Stefen Hui
author: Walter E. Lillo
author: Stanislaw H. Żak
published in: Automatica
publication date: 1995-05-11T00:00:00Z
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 49M30
Mathematics Subject Classification ID: 90C52
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93B05
zbMATH DE Number: 754350
zbMATH Keywords: controllability
zbMATH Keywords: nonlinear programming
zbMATH Keywords: variable structure systems
zbMATH Keywords: penalty function
zbMATH Keywords: gradient method
zbMATH Keywords: minimum norm
zbMATH Keywords: unconstrained optimization
MaRDI profile type: Publication
cites work: Necessary and sufficient conditions for a penalty method to be exact
cites work: Functional analysis and the optimal control of linear discrete systems
cites work: Q4326408
cites work: Q4226179
cites work: Q5185900
cites work: Fast projection methods for minimal design problems in linear system theory
cites work: Method of 'penalty' functions and the foundations of Pyne's method
cites work: Iterative algorithm for the minimum fuel and minimum amplitude problems for linear discrete systems
cites work: Using sliding modes in static optimization and nonlinear programming
cites work: The stability and control of discrete processes
cites work: Q5566063
cites work: Q3688092
cites work: Q3994336
cites work: Analog solution of algebraic and transcendental equations by the gradient method
cites work: The gradient method of solving convex programmig problems on electronic analog computers
cites work: Sliding modes in control and optimization. Transl. from the Russian
full work available at URL: 0005-1098(94)00072-q
OpenAlex ID: W2090623032
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description: scientific article; zbMATH DE number 754350