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.
Erscheinungsdatum: 24.10.2012

lgrsnf/A:\compressed\10.1007%2F978-3-0348-8530-0.pdf

nexusstc/Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena/2c4d71a949b68570cdf0c3e21dad1697.pdf

zlib/Computers/Hardware/H. T. Banks, F. Kappel, C. Wang (auth.), W. Desch, F. Kappel, K. Kunisch (eds.)/Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena: International Conference in Vorau (Austria), July 18–24, 1993_2129236.pdf

W Desch; F Kappel; K Kunisch; International Conference on Control and Estimation of Distributed Parameter Systems (Nonlinear Phenomena)

W Desch; F Kappel; K Kunisch; SpringerLink (Online service)

Wolfgang Desch, F. Kappel, K. Kunisch, Franz Kappel

Wolfgang Desch; Franz Kappel; Karl Kunisch

Birkhäuser Basel : Imprint : Birkhäuser

Springer Nature Switzerland AG

Birkhäuser Verlag

Birkhauser Verlag

Springer Basel

International series of numerical mathematics, vol. 118, Basel ; Boston, ©1994

ISNM International Series of Numerical Mathematics, 118, Basel, 1994

Place of publication not identified, 1994

Springer Nature, Basel, 2012

Switzerland, Switzerland

Oct 24, 2012

1, 2012

lg975316

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Source title: Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena (International Series of Numerical Mathematics)

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

Consisting of 16 refereed original contributions, this volume presents a diversified collection of recent results in control of distributed parameter systems. Topics addressed include - optimal control in fluid mechanics - numerical methods for optimal control of partial differential equations - modeling and control of shells - level set methods - mesh adaptation for parameter estimation problems - shape optimization Advanced graduate students and researchers will find the book an excellent guide to the forefront of control and estimation of distributed parameter systems.

2013-08-01