Optimal control problems for partial differential equations on reticulated domains : approximation and asymptotic analysis
After over 50 years of increasing scientific interest, optimal control of partial differential equations (PDEs) has developed into a well-established discipline in mathematics with myriad applications to science and engineering. As the field has grown, so too has the complexity of the systems it des...
Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Boston, MA :
Birkhäuser Boston
2011.
Cham : Springer Nature |
| Schriftenreihe: | Systems & Control: Foundations & Applications
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| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Optimal Control Problems for Partial Differential Equations on Reticulated Domains, Texte imprimé, 9780817681500 • Optimal Control Problems for Partial Differential Equations on Reticulated Domains, Texte imprimé, 9780817681487 |
Inhaltsangabe:
- Introduction
- Part I. Asymptotic Analysis of Optimal Control Problems for Partial Differential Equations: Basic Tools
- Background Material on Asymptotic Analysis of External Problems
- Variational Methods of Optimal Control Theory
- Suboptimal and Approximate Solutions to External Problems
- Introduction to the Asymptotic Analysis of Optimal Control Problems: A Parade of Examples
- Convergence Concepts in Variable Banach Spaces
- Convergence of Sets in Variable Spaces
- Passing to the Limit in Constrained Minimization Problems
- Part II. Optimal Control Problems on Periodic Reticulated Domains: Asymptotic Analysis and Approximate Solutions
- Suboptimal Control of Linear Steady-States Processes on Thin Periodic Structures with Mixed Boundary Controls
- Approximate Solutions of Optimal Control Problems for Ill-Posed Objects on Thin Periodic Structures
- Asymptotic Analysis of Optimal Control Problems on Periodic Singular Structures
- Suboptimal Boundary Control of Elliptic Equations in Domains with Small Holes
- Asymptotic Analysis of Elliptic Optimal Control Problems in Thick Multi-Structures with Dirichlet and Neumann Boundary Controls
- Gap Phenomenon in Modeling of Suboptimal Controls to Parabolic Optimal Control Problems in Thick Multi-Structures
- Boundary Velocity Suboptimal Control of Incompressible Flow in Cylindrically Perforated Domains
- Optimal Control Problems in Coefficients: Sensitivity Analysis and Approximation
- References
- Index.