This volume contains a selection of papers presented at the conference on Modelling and Optimization of Distributed Parameter Systems with Applications to Engineering, held in Warsaw on July 17-21, 1995. This conference was a consecutive one in the series of conferences sponsored by the IFIP Working Group WG 7.2 "Computational Techniques in Distributed Systems", chaired by Irena Lasiecka. It was organized by the Systems Research Institute of the Polish Academy of Sciences and supported financially by the following institutions: -European Community on Computational Methods in Applied Sciences, -Fundacja Stefana Batorego, -International Mathematical Union, - Telekomunikacja Polska S.A. The following scientists took an active part in preparation of the scientific program of the conference, organizing or helping to organize special sessions: - E. Casas and I.Lasiecka (Optimization and Optimal ControQ, Z.Mr6z (Mechanical Applications), - M.Niezg6dka (Properties of Solutions to P.D.E.s), - L.Pandolfi (Hamilton and Riccati Equation Approaches to Optimization), - K.Sobczyk and J.Zabczyk (Stochastic Systems), - J.Sokolowski and J.-P.Zolesio (Shape Optimization), - J.Wa8niewski (Scientific Computation). In the conference participated 133 scientists from 22 countries. Ten invited plenary lectures and 103 contributed papers have been presented. This volume contains a part of the presented material. The core of it is constituted by papers devoted to control and optimization of distributed parameter systems. Other selection will be included in a special issue of the quarterly Control & Cybernetics to be published in 1996.

Klappentext

Presents research on the theoretical and numerical aspects of mathematical modelling and the optimization of distributed parameters, as well as their applications in engineering. This work should be of interest to applied mathematicians, IT professionals and control/mechanical engineers.

Inhalt
1 Optimal control of periodic systems.- 2 Intrinsic modelling of shells.- 3 Additive Schwarz methods for elliptic mortar finite element problems.- 4 Soil venting.- 5 Mathematical models of hysteresis.- 6 Blow-up points to one phase Stefan problems with Dirichlet boundary conditions.- 7 Some new ideas for Schiffer's conjecture.- 8 Frequency method for H? operators.- 9 Local smoothing properties of a Schrödinger's equation with nonconstant principal part.- 10 Regularity results for multiphase Stefan-like equations.- 11 Optimal control of variational inequalities: a mathematical programming approach.- 12 Finite horizon regulator problem: the non-standard case.- 13 On abstract boundary control problems for vibrations.- 14 A frequency domain approach to the boundary control problem for parabolic equations.- 15 Diffusion processes: invertibility problem and guaranteed estimation theory.- 16 Quadratic optimal control of stable abstract linear systems.- 17 Linear quadratic optimal control for abstract linear systems.- 18 Relation between invariant subspaces of the Hamiltonian and the algebraic Riccati equation.- 19 Strong Pontryagin's principle for state-constrained control problems governed by parabolic equations.- 20 Approximation of noncovex distributed parameter optimal control problems.- 21 A Trotter-type scheme for the generalized gradient of the optimal value function.- 22 Optimal control problems for semilinear parabolic equations with pointwise state constraints.- 23 On the optimal control problem governed by the quasistationary von Kárman's equations.- 24 Bilinear optimal control of a Kirchhoff plate via internal controllers.- 25 Boundary control problem for a dynamic Kirchhoff plate model with partial observation.- 26 Exact controllability of anisotropicelastic bodies.- 27 Viability for differential inclusions in Banach spaces.- 28 Relaxation of optimal control problems coercive in Lp-spaces.- 29 Adaptive control of semilinear stochastic evolution equations.- 30 Active control of mechanical distributed systems with stochastic parametric excitations.- 31 Mixed finite element for stationary flow of a mixture with barodiffusion.- 32 Additive Schwarz method with strip substructures.- 33 Modelling in numerical simulation of electromagnetic heating.- 34 Effecitve coefficients of thermoconductivity on some symmetric periodically perforated plane structures.- 35 An approach to infinite domains, singularities and superelements in FEM computations.- 36 Evolution law for shock strength in simple elastic structures.- 37 On a class of composite plates of maximal compliance.- 38 An inaccuracy in semi-analytical analysis for Timoshenko beam.- 39 Memory effects and microscale.- 40 The impact of elastic bodies upon a Timoshenko beam.- 41 A shape optimization algorithm for a minimum drag problem in Stokes flow.- Index of contributors.- Keyword index.