Cargando…

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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gugat, Martin (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
Edición:1st ed. 2015.
Colección:SpringerBriefs in Control, Automation and Robotics,
Temas:
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-3-319-18890-4
003 DE-He213
005 20220114130208.0
007 cr nn 008mamaa
008 150715s2015 sz | 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 
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 GPFC  |2 thema 
082 0 4 |a 003  |2 23 
100 1 |a Gugat, Martin.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems  |h [electronic resource] /  |c by Martin Gugat. 
250 |a 1st ed. 2015. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2015. 
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 
347 |a text file  |b PDF  |2 rda 
490 1 |a SpringerBriefs in Control, Automation and Robotics,  |x 2192-6794 
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 System theory. 
650 0 |a Control theory. 
650 0 |a Differential equations. 
650 0 |a Mathematical optimization. 
650 0 |a Calculus of variations. 
650 0 |a Control engineering. 
650 1 4 |a Systems Theory, Control . 
650 2 4 |a Differential Equations. 
650 2 4 |a Calculus of Variations and Optimization. 
650 2 4 |a Control and Systems Theory. 
650 2 4 |a Continuous Optimization. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319188898 
776 0 8 |i Printed edition:  |z 9783319188911 
830 0 |a SpringerBriefs in Control, Automation and Robotics,  |x 2192-6794 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-18890-4  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)