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

Authors : Kemal Özen

Pages : 45-63

Doi:10.47000/tjmcs.1354599

View : 56 | Download : 42

Publication Date : 2024-06-30

Article Type : Research Paper

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