Optimal control problems in hybrid systems with active singularities

Boris M. Miller; Joseph Bentsman

doi:10.1016/j.na.2005.08.033

Optimal control problems in hybrid systems with active singularities

Research output: Contribution to journal › Article › peer-review

Abstract

The optimal control problem for systems with controlled unilateral phase constraints is considered. The definition of the generalized solutions is introduced, the transformation method for the original optimal control problem within the class of generalized solution to a standard optimal control problem is proposed, and the necessary optimality conditions are found.

Original language	English (US)
Pages (from-to)	999-1017
Number of pages	19
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	65
Issue number	5
DOIs	https://doi.org/10.1016/j.na.2005.08.033
State	Published - Sep 1 2006

Keywords

Generalized solutions
Impulse controls
Maximum principle
Optimization
Phase constraints

ASJC Scopus subject areas

Analysis
Applied Mathematics

Online availability

10.1016/j.na.2005.08.033

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title = "Optimal control problems in hybrid systems with active singularities",

abstract = "The optimal control problem for systems with controlled unilateral phase constraints is considered. The definition of the generalized solutions is introduced, the transformation method for the original optimal control problem within the class of generalized solution to a standard optimal control problem is proposed, and the necessary optimality conditions are found.",

keywords = "Generalized solutions, Impulse controls, Maximum principle, Optimization, Phase constraints",

author = "Miller, {Boris M.} and Joseph Bentsman",

note = "Funding Information: This work is supported by NSF grants CMS-0000458 and CMS-0324630 and the UIUC Grainger Center for Electric Machinery and Electromechanics, and by Russian Basic Research Foundation Grant N 05-01-00508. ",

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AU - Bentsman, Joseph

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Y1 - 2006/9/1

N2 - The optimal control problem for systems with controlled unilateral phase constraints is considered. The definition of the generalized solutions is introduced, the transformation method for the original optimal control problem within the class of generalized solution to a standard optimal control problem is proposed, and the necessary optimality conditions are found.

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KW - Generalized solutions

KW - Impulse controls

KW - Maximum principle

KW - Optimization

KW - Phase constraints

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Optimal control problems in hybrid systems with active singularities

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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