Overview

Consisting of 23 refereed contributions, this volume offers a broad and diverse view of late-1990s research in control and estimation of partial differential equations. This volume is primarily geared toward control theorists seeking information on the latest developments in their area of expertise. It may also serve as a stimulating reader to any researcher who wants to gain an impression of activities at the forefront of this expanding area in applied mathematics. Topics addressed included, but are not limited to: control and stability of hyperbolic systems related to elasticity, linear and nonlinear; control and identification of nonlinear parabolic systems; exact and approximate controllability, and observability; Pontryagin's maximum principle and dynamic programming in PDE; and numerics pertinent to optimal and suboptimal control problems.

Full Product Details

Author:   W. Desch ,  F. Kappel ,  K. Kunisch
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   1998 ed.
Volume:   126
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   1.390kg
ISBN:  

9783764358358

ISBN 10:   3764358351
Pages:   310
Publication Date:   24 March 1998
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Approximation results for parameter estimation in nonlinear elastomers.- Preconditioners for Karush-Kuhn-Tucker matrices arising in the optimal control of distributed systems.- Augmented Lagrangian algorithms for state constrained optimal control problems.- A priori estimates for the approximation of a parabolic boundary control problem.- On the wellposedness of the Chaboche model.- On the behaviour of the value function of a Mayer optimal control problem along optimal trajectories.- Optimal control problem governed by semilinear elliptic equations with integral control constraints and pointwise state constraints.- Designing for optimal energy absorption II, The damped wave equation.- On the approximate controllability for higher order parabolic nonlinear equations of Cahn-Hilliard type.- Control problems for parabolic equations with state constraints and unbounded control sets.- Remarks on the controllability of some stochastic partial differential equations.- A reduced basis method for control problems governed by PDEs.- Proximal penalty method for ill-posed parabolic optimal control problems.- On the control of coupled linear systems.- On dynamic domain decomposition of controlled networks of elastic strings and joint-masses.- On a weakly damped system arising in the control of noise.- Dirichlet boundary control of parabolic systems with pointwise state constraints.- Second order optimality conditions and stability estimates for the identification of nonlinear heat transfer laws.- LQR control of shell vibrations via piezoceramic actuators.- The algebraic Riccati equation in discrete and continuous time.- The wave equation with Neuman controls: On Lions’s F-space.- On the pointwise stabilization of a string M.Tucsnak.- Exact controllability of the generalizedBoussinesq Equation.

Reviews

The book makes an important theoretical contribution... By its broad coverage, good organization, the theoretical results included, and the highlighted potential applications, [it] recommends itself as an advanced, supplementary reading in mathematical system theory for partial differential equations. -- Studies in Informatics and Control

The book makes an important theoretical contributiona ] By its broad coverage, good organization, the theoretical results included, and the highlighted potential applications, [it] recommends itself as an advanced, supplementary reading in mathematical system theory for partial differential equations. -- Studies in Informatics and Control

The book makes an important theoretical contribution! By its broad coverage, good organization, the theoretical results included, and the highlighted potential applications, [it] recommends itself as an advanced, supplementary reading in mathematical system theory for partial differential equations. -- Studies in Informatics and Control

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