An optimal control for a hybrid hyperbolic dynamic system
Abstract
In this paper, we are concerned with a hybrid hyperbolic dynamic system formulated by partial differential equations with initial and boundary conditions. An optimal energy control of the system is investigated. First, the system is transformed to an abstract evolution system in an appropriate Hilbert space, and then semigroup generation of the system operator is discussed. Finally, an optimal energy control problem is proposed and it is shown that an optimal energy control can be obtained by a finite dimensional approximation.
Copyright © 2019 Xuezhang Hou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
X. Hou, An optimal control for a hybrid hyperbolic dynamic system, J. Math. Comput. Sci. 9 (2019), 354–364. https://doi.org/10.28919/jmcs/3999
BibTeX
@article{Hou2019,
author = {Hou, Xuezhang},
title = {An optimal control for a hybrid hyperbolic dynamic system},
journal = {J. Math. Comput. Sci.},
volume = {9},
year = {2019},
pages = {354--364},
doi = {10.28919/jmcs/3999}
}