A quadratic regulator with cheap control for a class of nonlinear systems
type: Item
instance of: scholarly article
title: A quadratic regulator with cheap control for a class of nonlinear systems
zbMATH Open document ID: 0618.93030
DOI: 10.1007/BF00939086
author: B. George
published in: Journal of Optimization Theory and Applications
publication date: 1987-01-01T00:00:00Z
review text: A quadratic regulator problem for a class of nonlinear systems is considered in which the control cost is multiplied by a small parameter, which becomes a so-called cheap control problem. Conditions are found under which the minimum cost becomes zero (perfect regulation) and the linear part in the optimal control law becomes dominant as the small parameter goes to zero. Near optimality of control laws truncated from the optimal control law in series form is also found.
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 49L99
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 4004007
zbMATH Keywords: quadratic regulator
zbMATH Keywords: cheap control
zbMATH Keywords: perfect regulation
zbMATH Keywords: near optimality
zbMATH Keywords: Hamilton-Jacobi equation
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00939086
OpenAlex ID: W2054077980
description: scientific article; zbMATH DE number 4004007