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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Kogut, Peter I. (Author), Leugering, Günter R. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2011.
Edition:1st ed. 2011.
Series:Systems & Control: Foundations & Applications,
Subjects:
System theory.
Control theory.
Control engineering.
Mathematical optimization.
Calculus of variations.
Differential equations.
Engineering mathematics.
Engineering-Data processing.
Mechanics, Applied.
Solids.
Systems Theory, Control .
Control and Systems Theory.
Calculus of Variations and Optimization.
Differential Equations.
Mathematical and Computational Engineering Applications.
Solid Mechanics.
Online Access:Texto Completo
Table of Contents:
  • 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.

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