Necessary optimality conditions for Lagrange problems involving ordinary control systems described by fractional Laplace operators
Articles
Rafał Kamocki
University of Lodz
https://orcid.org/0000-0002-7800-412X
Published 2020-09-01
https://doi.org/10.15388/namc.2020.25.19279
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Keywords

smooth-convex extremum principle
spectral representation of a self-adjoint operator
fractional Laplace operator
Dirichlet and Dirichlet–Neumann boundary conditions

How to Cite

Kamocki R. (2020) “Necessary optimality conditions for Lagrange problems involving ordinary control systems described by fractional Laplace operators”, Nonlinear Analysis: Modelling and Control, 25(5), pp. 884–901. doi: 10.15388/namc.2020.25.19279.

Abstract

In this paper, optimal control problems containing ordinary nonlinear control systems described by fractional Dirichlet and Dirichlet–Neumann Laplace operators and a nonlinear integral performance index are studied. Using smooth-convex maximum principle, the necessary optimality conditions for such problems are derived.

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