Optimal Control Problem for Bianchi Equation in Variable Exponent Sobolev Spaces

被引：0
|
作者：
Rovshan A. Bandaliyev
Vagif S. Guliyev
Ilgar G. Mamedov
Yasin I. Rustamov
机构：
[1] Institute of Mathematics and Mechanics of NAS of Azerbaijan,Department of Mathematics
[2] S.M. Nikolskii Institute of Mathematics at RUDN University,undefined
[3] Ahi Evran University,undefined
[4] Institute of Control Systems of NAS of Azerbaijan,undefined
来源：
Journal of Optimization Theory and Applications | 2019年 / 180卷
关键词：
3D optimal control; Pontryagin’s maximum principle; Bianchi equation; Goursat problem; Variable exponent Sobolev spaces; 37D30; 49B20; 49K20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a necessary and sufficient condition, such as the Pontryagin’s maximum principle for an optimal control problem with distributed parameters, is given by the third-order Bianchi equation with coefficients from variable exponent Lebesgue spaces. The statement of an optimal control problem is studied by using a new version of the increment method that essentially uses the concept of the adjoint equation of the integral form.
引用
收藏
页码：303 / 320
页数：17
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