Optimal control of higher order differential inclusions of Bolza type with varying time interval

Elimhan N. Mahmudov

doi:10.1016/j.na.2007.07.015

Optimal control of higher order differential inclusions of Bolza type with varying time interval

Elimhan N. Mahmudov^*

^*Corresponding author for this work

Department of Mathematics Engineering

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

4 Citations (Scopus)

Abstract

In this paper, under the t₁-transversality condition for the problem considered, a sufficient condition is formulated. In particular, the time optimal control problem is studied. Locally adjoint mappings are used for both convex and nonconvex cases. Furthermore, the application of these results is demonstrated by solving an example.

Original language	English
Pages (from-to)	1699-1709
Number of pages	11
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	69
Issue number	5-6
DOIs	https://doi.org/10.1016/j.na.2007.07.015
Publication status	Published - 1 Sept 2008

Keywords

Adjoint differential form
Dual cone
Higher order differential inclusion
Locally adjoint mapping
Sufficient condition
t-transversality
Time optimal control

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10.1016/j.na.2007.07.015

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abstract = "In this paper, under the t1-transversality condition for the problem considered, a sufficient condition is formulated. In particular, the time optimal control problem is studied. Locally adjoint mappings are used for both convex and nonconvex cases. Furthermore, the application of these results is demonstrated by solving an example.",

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AB - In this paper, under the t1-transversality condition for the problem considered, a sufficient condition is formulated. In particular, the time optimal control problem is studied. Locally adjoint mappings are used for both convex and nonconvex cases. Furthermore, the application of these results is demonstrated by solving an example.

KW - Adjoint differential form

KW - Dual cone

KW - Higher order differential inclusion

KW - Locally adjoint mapping

KW - Sufficient condition

KW - t-transversality

KW - Time optimal control

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JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5-6

ER -

Optimal control of higher order differential inclusions of Bolza type with varying time interval

Abstract

Keywords

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