Conjugate points for calculus of variations with inequality state constraints

Hidefumi Kawasaki; Vera Zeidan

doi:10.1109/CDC.2001.980410

Conjugate points for calculus of variations with inequality state constraints

Hidefumi Kawasaki, Vera Zeidan

Department of Mathematical Sciences

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

Abstract

In this paper, variational problems with inequality state constraints are considered. The theory of conjugate points for these problems is developed, and necessary conditions for weak local optimality are derived in terms of this concept and the Legendre condition. The envelope-like effect is taken into consideration in the accessory problem.

Original language	English
Pages (from-to)	3552-3557
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	4
DOIs	https://doi.org/10.1109/CDC.2001.980410
Publication status	Published - Jan 1 2001

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

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title = "Conjugate points for calculus of variations with inequality state constraints",

abstract = "In this paper, variational problems with inequality state constraints are considered. The theory of conjugate points for these problems is developed, and necessary conditions for weak local optimality are derived in terms of this concept and the Legendre condition. The envelope-like effect is taken into consideration in the accessory problem.",

author = "Hidefumi Kawasaki and Vera Zeidan",

year = "2001",

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Conjugate points for calculus of variations with inequality state constraints

Abstract

All Science Journal Classification (ASJC) codes

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