Solving optimal control problems by means of general Lagrange functionals

Peter Kosmol; Michele Pavon

doi:10.1016/S0005-1098(01)00033-4

Solving optimal control problems by means of general Lagrange functionals

Peter Kosmol, Michele Pavon

Mathematics

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

Abstract

A class of nonlinear Lagrange functionals was introduced and, corresponding to these functionals, derive some sufficient conditions for the optimal control problem. A class of quadratic control problems generalizing the one considered by Brockett for nonholonomic motion planning was discussed. The proposed method was applied to linear descriptor systems.

Original language	English (US)
Pages (from-to)	907-913
Number of pages	7
Journal	Automatica
Volume	37
Issue number	6
DOIs	https://doi.org/10.1016/S0005-1098(01)00033-4
State	Published - Jun 2001

Keywords

Descriptor systems
Lagrange functionals
Nonholonomic motion planning
Optimal control
Quadratic problems

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/S0005-1098(01)00033-4

Cite this

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title = "Solving optimal control problems by means of general Lagrange functionals",

abstract = "A class of nonlinear Lagrange functionals was introduced and, corresponding to these functionals, derive some sufficient conditions for the optimal control problem. A class of quadratic control problems generalizing the one considered by Brockett for nonholonomic motion planning was discussed. The proposed method was applied to linear descriptor systems.",

keywords = "Descriptor systems, Lagrange functionals, Nonholonomic motion planning, Optimal control, Quadratic problems",

author = "Peter Kosmol and Michele Pavon",

year = "2001",

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AU - Pavon, Michele

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AB - A class of nonlinear Lagrange functionals was introduced and, corresponding to these functionals, derive some sufficient conditions for the optimal control problem. A class of quadratic control problems generalizing the one considered by Brockett for nonholonomic motion planning was discussed. The proposed method was applied to linear descriptor systems.

KW - Descriptor systems

KW - Lagrange functionals

KW - Nonholonomic motion planning

KW - Optimal control

KW - Quadratic problems

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SP - 907

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JO - Automatica

JF - Automatica

IS - 6

ER -

Solving optimal control problems by means of general Lagrange functionals

Abstract

Keywords

ASJC Scopus subject areas

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