Generalized solutions of nonlinear optimization problems with impulse controls. I: Existence of solutions
type: Item
instance of: scholarly article
title: Generalized solutions of nonlinear optimization problems with impulse controls. I: Existence of solutions
zbMATH Open document ID: 0928.93022
author: B. M. Miller
published in: Automation and Remote Control
publication date: 1999-05-24T00:00:00Z
review text: This paper concerns a dynamic system described by a nonlinear differential equation with two controllers. One control is not bounded in norm and is chosen arbitrarily close to a \(\delta\)-type impulse control. The author has defined the concept of solution for such a differential equation. Application of the time discontinuous substitution method transforms the initial optimization problem to an optimal control problem with bounded controls. The result is applied to study the existence of solutions of generalized optimization problems under various constraints.
reviewed by: Sebastian Aniţa
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93B17
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 49J15
zbMATH DE Number: 1290432
zbMATH Keywords: nonlinear differential equation
zbMATH Keywords: impulse control
zbMATH Keywords: time discontinuous substitution method
zbMATH Keywords: optimal control
zbMATH Keywords: existence
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1290432