On Boundary Control Problem of Distributed Parameter Systems

被引：0

作者：

Mustafayev M.I. ^{[1
]}

Mirzazadeh M. ^{[2
]}

Ekici M. ^{[1
]}

机构：

[1] Department of Mathematics, Faculty of Science and Arts, Bozok University, Yozgat

[2] Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah

来源：

International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / Suppl 1期

关键词：

Boundary control of heat conduction in sphere; Boundary control of vibrations of gas in sphere; Finite control; Interpolation problem; Moment problem;

D O I：

10.1007/s40819-017-0393-6

中图分类号：

学科分类号：

摘要：

In this study, we consider two control problems. First, we consider the finite control problem of radial heat conduction in a homogenous sphere with radius R. Second, we consider the finite control problem of radial vibrations of gas within the sphere whose radius is R. In both problems, the control function effects from the surface of the sphere, and has finite support in [0, T]. These control problems are reduced to equivalent moment problems. Then, these moment problems are reduced to interpolation problems of Laplace and Fourier transforms. © 2017, Springer (India) Private Ltd.

引用

页码：961 / 969

页数：8