Elementary Feedback Stabilization of the Linear Reaction-Convection-Diffusion Equation and the Wave Equation
Mathematical control theory of applied partial differential equations is built on linear andnonlinearfunctionalanalysisand manyexistencetheoremsin controlt- ory result from applications of theorems in functional analysis. This makes control theoryinaccessibleto studentswhodo nothave a backgroundin f...
Wedi'i Gadw mewn:
| Prif Awdur: | |
|---|---|
| Fformat: | Livre numérique |
| Iaith: | Anglais |
| Cyhoeddwyd: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Cyfres: | Mathématiques et Applications
66 |
| Mynediad Ar-lein: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
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| Edition sous un autre format: | • Elementary feedback stabilization of the linear reaction-convection-diffusion equation and the wave equation, Weijiu Liu, Heidelberg, Springer, 2010, 1 volume (x-294 pages), Mathématiques & applications, 978-3-642-04612-4 |
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| 008 | 110106q2000 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN14905436X | ||
| 020 | |a 9783642046131 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.353 | ||
| 100 | 1 | |a Liu, Weijiu, |d 19..- | |
| 245 | 1 | 0 | |a Elementary Feedback Stabilization of the Linear Reaction-Convection-Diffusion Equation and the Wave Equation |c by Weijiu Liu. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Mathématiques et Applications |v 66 |x 1154-483X | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Examples of Control Systems Elementary Functional Analysis Finite Dimensional Systems Linear Reaction-Convection-Diffusion Equation One-dimensional Wave Equation Higher-dimensional Wave Equation | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Mathematical control theory of applied partial differential equations is built on linear andnonlinearfunctionalanalysisand manyexistencetheoremsin controlt- ory result from applications of theorems in functional analysis. This makes control theoryinaccessibleto studentswhodo nothave a backgroundin functionalanalysis. Many advanced control theory books on in?nite-dimensionalsystems were wr- ten, using functional analysis and semigroup theory, and control theory was p- sented in an abstract setting. This motivates me to write this text for control theory classes in the way to present control theory by concrete examples and try to m- imize the use of functional analysis. Functional analysis is not assumed and any analysis included here is elementary, using calculus such as integration by parts. The material presented in this text is just a simpli?cation of the material from the existing advanced control books. Thus this text is accessible to senior undergra- ate studentsand?rst-yeargraduatestudentsin appliedmathematics,who havetaken linear algebra and ordinary and partial differential equations. Elementary functional analysis is presented in Chapter 2. This material is - quired to present the control theory of partial differential equations. Since many control conceptsand theories for partial differentialequations are transplanted from ?nite-dimensionalcontrol systems, a brief introduction to feedback control of these systemsispresentedinChapter3.Thetopicscoveredinthischapterincludecontr- lability, observability,stabilizability, pole placement, and quadratic optimal control | ||
| 776 | 0 | |0 139608575 |t Elementary feedback stabilization of the linear reaction-convection-diffusion equation and the wave equation |f Weijiu Liu |c Heidelberg |n Springer |d 2010 |p 1 volume (x-294 pages) |s Mathématiques & applications |z 978-3-642-04612-4 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-04613-1 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-S4DTW5ZQ-X |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747831599 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-3-642-04613-1 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750848987 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-3-642-04613-1 |z Accès INSA CVL | |
| 997 | |0 942883 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||