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Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena

International Conference in Vorau (Austria), July 18–24, 1993

  • W. Desch
  • F. Kappel
  • K. Kunisch
Conference proceedings

Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 118)

Table of contents

  1. Front Matter
    Pages i-xiii
    PDF
  2. A Semigroup Formulation of a Nonlinear Size-Structured Distributed Rate Population Model
    H. T. Banks, F. Kappel, C. Wang
    Pages 1-19
  3. Damage Detection and Characterization in Smart Material Structures
    H. T. Banks, Y. Wang
    Pages 21-43
  4. Optimality Conditions for Non-Qualified Parabolic Control Problems
    M. Bergounioux, T. Männikkö, D. Tiba
    Pages 45-60
  5. Convergence of Trajectories for a Controlled Viscous Burgers’ Equation
    Christopher I. Byrnes, David S. Gilliam, Victor I. Shubov
    Pages 61-77
  6. Optimality Conditions for Boundary Control Problems of Parabolic Type
    Piermarco Cannarsa, Maria Elisabetta Tessitore
    Pages 79-96
  7. Pontryagin’s Principle for Optimal Control Problems Governed by Semilinear Elliptic Equations
    Eduardo Casas
    Pages 97-114
  8. Invariance of the Hamiltonian in Control Problems for Semilinear Parabolic Distributed Parameter Systems
    H. O. Fattorini
    Pages 115-130
  9. Rate Distribution Modeling for Structured Heterogeneous Populations
    Ben G. Fitzpatrick
    Pages 131-141
  10. A Model for a Two-Layered Plate with Interfacial Slip
    Scott W. Hansen
    Pages 143-170
  11. Numerical Solution of a Constrained Control Problem for a Phase Field Model
    M. Heinkenschloss, E. W. Sachs
    Pages 171-187
  12. Uniform Stabilizability of Nonlinearly Coupled Kirchhoff Plate Equations
    Mary Ann Horn, Irena Lasiecka
    Pages 189-210
  13. Boundary Temperature Control for Thermally Coupled Navier-Stokes Equations
    Kazufumi Ito
    Pages 211-230
  14. Adaptive Estimation of Nonlinear Distributed Parameter Systems
    Joseph Kazimir, I. G. Rosen
    Pages 231-251
  15. Decay Estimates for the Wave Equation with Internal Damping
    Vilmos Komornik
    Pages 253-266
  16. On the Controllability of the Rotation of a Flexible Arm
    W. Krabs
    Pages 267-279
  17. Modeling and Controllability of Interconnected Elastic Membranes
    J. E. Lagnese
    Pages 281-299
  18. On Feedback Controls for Dynamic Networks of Strings and Beams and their Numerical Simulation
    Günter Leugering
    Pages 301-326
  19. Various Relaxations in Optimal Control of Distributed Parameter Systems
    Tomáš Roubíček
    Pages 327-341
  20. Convergence of an SQP-Method for a Class of Nonlinear Parabolic Boundary Control Problems
    Fredi Tröltzsch
    Pages 343-357
  21. Conditional Stability in Determination of Densities of Heat Sources in a Bounded Domain
    Masahiro Yamamoto
    Pages 359-370
  22. Boundary Stabilization of the Korteweg-De Vries Equation
    Bing-Yu Zhang
    Pages 371-389
  23. Controllability of the Linear System of Thermoelasticity: Dirichlet-Neumann Boundary Conditions
    Enrique Zuazua
    Pages 391-402

About these proceedings

Introduction

22 papers on control of nonlinear partial differential equations highlight the area from a broad variety of viewpoints. They comprise theoretical considerations such as optimality conditions, relaxation, or stabilizability theorems, as well as the development and evaluation of new algorithms. A significant part of the volume is devoted to applications in engineering, continuum mechanics and population biology.

Keywords

algorithms differential equation nonlinear partial differential equation partial differential equation

Editors and affiliations

  • W. Desch
    • 1
  • F. Kappel
    • 1
  • K. Kunisch
    • 2
  1. 1.Institut für MathematikUniversitat GrazGrazAustria
  2. 2.Fachbereich MathematikTechnische Universitat BerlinBerlinGermany

Bibliographic information