Free Time Optimization of Second-Order Differential Inclusions with Endpoint Constraints

Elimhan N. Mahmudov

doi:10.1007/s10883-017-9361-z

Free Time Optimization of Second-Order Differential Inclusions with Endpoint Constraints

Elimhan N. Mahmudov^*

^*Corresponding author for this work

Department of Mathematics Engineering

Azerbaijan National Academy of Sciences

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

4 Citations (Scopus)

Abstract

The present paper deals with the optimal control theory given by second-order differential inclusions (P_C) with a non-fixed time interval and endpoint constraints. Our aim is to establish well-verifiable sufficient conditions of optimality for second-order differential inclusions. Thus, the sufficient conditions, including distinctive t₁-attainability condition ones, are formulated by using the Euler-Lagrange and Hamiltonian type of inclusions. Here, the basic apparatus of locally adjoint mappings (LAMs) is suggested. Application of these results is illustrated by solving some linear control problem with second-order differential inclusions.

Original language	English
Pages (from-to)	129-143
Number of pages	15
Journal	Journal of Dynamical and Control Systems
Volume	24
Issue number	1
DOIs	https://doi.org/10.1007/s10883-017-9361-z
Publication status	Published - 1 Jan 2018

Bibliographical note

Publisher Copyright:
© 2017, Springer Science+Business Media New York.

Keywords

Attainability
Differential inclusion
Euler-Lagrange
Free time
Second order

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10.1007/s10883-017-9361-z

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AB - The present paper deals with the optimal control theory given by second-order differential inclusions (PC) with a non-fixed time interval and endpoint constraints. Our aim is to establish well-verifiable sufficient conditions of optimality for second-order differential inclusions. Thus, the sufficient conditions, including distinctive t1-attainability condition ones, are formulated by using the Euler-Lagrange and Hamiltonian type of inclusions. Here, the basic apparatus of locally adjoint mappings (LAMs) is suggested. Application of these results is illustrated by solving some linear control problem with second-order differential inclusions.

KW - Attainability

KW - Differential inclusion

KW - Euler-Lagrange

KW - Free time

KW - Second order

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Free Time Optimization of Second-Order Differential Inclusions with Endpoint Constraints

Abstract

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Keywords

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