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Efficiency in uncertain variational control problems.

Authors :
Treanţă, Savin
Source :
Neural Computing & Applications. Jun2021, Vol. 33 Issue 11, p5719-5732. 14p.
Publication Year :
2021

Abstract

In this paper, considering the applications of interval analysis in various fields (such as artificial intelligence, neural computation, genetic algorithms, information theory or fuzzy logic), a new class of interval-valued variational control problems governed by multiple integral functionals, first-order PDE and inequality constraints is studied. More precisely, efficiency conditions for the considered uncertain variational control problem are formulated and proved. The sufficiency of Karush–Kuhn–Tucker conditions is established under some invexity and (ρ , b) -quasiinvexity assumptions of the involved functionals. In addition, the paper is completed with illustrative applications (describing the controlled behavior of an artificial neural system) and the corresponding algorithm. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09410643
Volume :
33
Issue :
11
Database :
Academic Search Index
Journal :
Neural Computing & Applications
Publication Type :
Academic Journal
Accession number :
150392356
Full Text :
https://doi.org/10.1007/s00521-020-05353-0