Optimal Control Problem for Fourth-Order Bianchi Equation in Variable Exponent Sobolev Spaces

Year 2024, Volume: 16 Issue: 1, 45 - 63, 30.06.2024

Kemal Özen

https://doi.org/10.47000/tjmcs.1354599

Abstract

This work proposes a necessary and sufficient condition such as Pontryagin’s maximum principle for
an optimal control problem with distributed parameters, which is described by the fourth-order Bianchi equation involving coefficients in variable exponent Lebesgue spaces. The problem is studied by aid of a novel version of the increment method that essentially uses the concept of the adjoint equation of integral type.

Keywords

4d optimal control, Pontryagin's maximum principle, Bianchi equation, variable exponent Lebesgue spaces, variable exponent Sobolev spaces

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