Optimal boundary control and boundary stabilization of hyperbolic systems /
This brief considers recent results on optimal control and stabilization of systems governed by hyperbolic partial differential equations, specifically those in which the control action takes place at the boundary. The wave equation is used as a typical example of a linear system, through which the...
Saved in:
| 主要作者: | |
|---|---|
| 企业作者: | |
| 格式: | 电子书 |
| 语言: | English |
| 出版: |
Cham
Springer International Publishing
2015.
|
| 丛编: | SpringerBriefs in Electrical and Computer Engineering
|
| 主题: | |
| 在线阅读: | Click here to view the full text content |
| 标签: |
添加标签
没有标签, 成为第一个标记此记录!
|
| 总结: | This brief considers recent results on optimal control and stabilization of systems governed by hyperbolic partial differential equations, specifically those in which the control action takes place at the boundary. The wave equation is used as a typical example of a linear system, through which the author explores initial boundary value problems, concepts of exact controllability, optimal exact control, and boundary stabilization. Nonlinear systems are also covered, with the Korteweg-de Vries and Burgers Equations serving as standard examples. To keep the presentation as accessible as possible, the author uses the case of a system with a state that is defined on a finite space interval, so that there are only two boundary points where the system can be controlled. Graduate and post-graduate students as well as researchers in the field will find this to be an accessible introduction to problems of optimal control and stabilization. |
|---|---|
| 实物描述: | 1 online resource (VIII, 140 pages) 3 illustration, 2 illustration in colour. |
| ISBN: | 9783319188904 |
| ISSN: | 2191-8112 |