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...
| Published in: | Springer eBooks |
|---|---|
| Main Author: | |
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2015.
|
| Series: | SpringerBriefs in Electrical and Computer Engineering,
|
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1007/978-3-319-18890-4 Перейти в каталог НБ ТГУ |
| LEADER | 03399nam a22005775i 4500 | ||
|---|---|---|---|
| 001 | vtls000559944 | ||
| 003 | RU-ToGU | ||
| 005 | 20210922085951.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 170212s2015 gw | s |||| 0|eng d | ||
| 020 | |a 9783319188904 |9 978-3-319-18890-4 | ||
| 024 | 7 | |a 10.1007/978-3-319-18890-4 |2 doi | |
| 035 | |a to000559944 | ||
| 039 | 9 | |y 201702122302 |z Александр Эльверович Гилязов | |
| 040 | |a Springer |c Springer |d RU-ToGU | ||
| 050 | 4 | |a Q295 | |
| 050 | 4 | |a QA402.3-402.37 | |
| 072 | 7 | |a GPFC |2 bicssc | |
| 072 | 7 | |a SCI064000 |2 bisacsh | |
| 072 | 7 | |a TEC004000 |2 bisacsh | |
| 082 | 0 | 4 | |a 519 |2 23 |
| 100 | 1 | |a Gugat, Martin. |e author. |9 466159 | |
| 245 | 1 | 0 | |a Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems |h electronic resource |c by Martin Gugat. |
| 260 | |a Cham : |b Springer International Publishing : |b Imprint: Birkhäuser, |c 2015. |9 745056 | ||
| 300 | |a VIII, 140 p. 3 illus., 2 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a SpringerBriefs in Electrical and Computer Engineering, |x 2191-8112 | |
| 505 | 0 | |a Introduction -- Systems that are Governed by the Wave Equation -- Exact Controllability -- Optimal Exact Control -- Boundary Stabilization -- Nonlinear Systems -- Distributions -- Index. | |
| 520 | |a 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. | ||
| 650 | 0 | |a mathematics. |9 566183 | |
| 650 | 0 | |a Partial Differential Equations. |9 303602 | |
| 650 | 0 | |a System theory. |9 460201 | |
| 650 | 0 | |a Calculus of variations. |9 421215 | |
| 650 | 0 | |a Mathematical optimization. |9 566241 | |
| 650 | 0 | |a Control Engineering. |9 304706 | |
| 650 | 1 | 4 | |a Mathematics. |9 566184 |
| 650 | 2 | 4 | |a Systems Theory, Control. |9 304010 |
| 650 | 2 | 4 | |a Partial Differential Equations. |9 303602 |
| 650 | 2 | 4 | |a Calculus of Variations and Optimal Control; Optimization. |9 306640 |
| 650 | 2 | 4 | |a control. |9 348605 |
| 650 | 2 | 4 | |a Continuous Optimization. |9 446367 |
| 710 | 2 | |a SpringerLink (Online service) |9 143950 | |
| 773 | 0 | |t Springer eBooks | |
| 830 | 0 | |a SpringerBriefs in Electrical and Computer Engineering, |9 410832 | |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1007/978-3-319-18890-4 |
| 856 | |y Перейти в каталог НБ ТГУ |u https://koha.lib.tsu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=414361 | ||
| 912 | |a ZDB-2-SMA | ||
| 950 | |a Mathematics and Statistics (Springer-11649) | ||
| 999 | |c 414361 |d 414361 | ||