Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena: International Conference in Vorau (Austria), July 18–24, 1993

✍ Scribed by H. T. Banks, F. Kappel, C. Wang (auth.), W. Desch, F. Kappel, K. Kunisch (eds.)

• Publisher: Birkhäuser Basel
• Year: 1994
• Tongue: English
• Leaves: 402
• Series: ISNM International Series of Numerical Mathematics 118
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xiii
A Semigroup Formulation of a Nonlinear Size-Structured Distributed Rate Population Model....Pages 1-19
Damage Detection and Characterization in Smart Material Structures....Pages 21-43
Optimality Conditions for Non-Qualified Parabolic Control Problems....Pages 45-60
Convergence of Trajectories for a Controlled Viscous Burgers’ Equation....Pages 61-77
Optimality Conditions for Boundary Control Problems of Parabolic Type....Pages 79-96
Pontryagin’s Principle for Optimal Control Problems Governed by Semilinear Elliptic Equations....Pages 97-114
Invariance of the Hamiltonian in Control Problems for Semilinear Parabolic Distributed Parameter Systems....Pages 115-130
Rate Distribution Modeling for Structured Heterogeneous Populations....Pages 131-141
A Model for a Two-Layered Plate with Interfacial Slip....Pages 143-170
Numerical Solution of a Constrained Control Problem for a Phase Field Model....Pages 171-187
Uniform Stabilizability of Nonlinearly Coupled Kirchhoff Plate Equations....Pages 189-210
Boundary Temperature Control for Thermally Coupled Navier-Stokes Equations....Pages 211-230
Adaptive Estimation of Nonlinear Distributed Parameter Systems....Pages 231-251
Decay Estimates for the Wave Equation with Internal Damping....Pages 253-266
On the Controllability of the Rotation of a Flexible Arm....Pages 267-279
Modeling and Controllability of Interconnected Elastic Membranes....Pages 281-299
On Feedback Controls for Dynamic Networks of Strings and Beams and their Numerical Simulation....Pages 301-326
Various Relaxations in Optimal Control of Distributed Parameter Systems....Pages 327-341
Convergence of an SQP-Method for a Class of Nonlinear Parabolic Boundary Control Problems....Pages 343-357
Conditional Stability in Determination of Densities of Heat Sources in a Bounded Domain....Pages 359-370
Boundary Stabilization of the Korteweg-De Vries Equation....Pages 371-389
Controllability of the Linear System of Thermoelasticity: Dirichlet-Neumann Boundary Conditions....Pages 391-402

✦ Subjects

Mathematics, general