Control of Partial Differential Equations Proceedings of the IFIP WG 7.2 Working Conference, Santiago de Compostela, Spain, July 6–9, 1987

This volume comprises the proceedings of an IFIP conference held at the University of Santiago de Compostela in July 1987. The conference was devoted to the following topics: state constrained optimal control problems, shape optimization, identification of parameters, stabilisation, controlability, numerical methods and industrial applications.

Computational techniques for inverse problems in size structured stochastic population models.- Identification of free boundaries and non-linearities for elliptic partial differential equations arising from plasma physics.- Convergence of suboptimal elements in infinite dimensional nonlinear programming problems.- An introduction to the methods based on uniqueness for exact controllability of distributed systems.- Stability of wave equations with nonlinear damping in the dirichlet and neumann boundary conditions.- Duality methods for non qualified distributed control problems.- Identification of operators in systems governed by evolution equations on Banach space.- Optimal control of state-constrained unstable systems of elliptic type.- Optimal control of quasilinear elliptic equations.- Some results on linear quadratic periodic control without detectability.- Further developments in the application of Min Max differentiability to shape sensitivity analysis.- Optimal design in fluid mechanics. The finite element approach.- On the linearization of nonlinear control systems and exact reachability.- Invariant imbedding and the reflection of elastic waves.- Identification of parameters in diffusion convection models : Application to the analysis of blood flow in digital subtraction angiography.- Heat transfer optimization in industrial systems with multiple steady states.- Infinite horizon linear-quadratic regulator problems for beams and plates.- On boundary controllability of viscoelastic systems.- Remarks on exact controllability and stabilization of a hybrid system in elasticity through boundary damping.- Un Probleme De Controle avec Contraintes sur L'etat.- A variational inequality approach to the problem of the design of the optimal covering of an obstacle.- Some results on optimal control for unilateral problems.- Shape sensitivity analysis of state constrained optimal control problems for distributed parameter systems.- Approximation of discrete-time LQR problems for boundary control systems with control delays.- Shape optimization of structures with pointwise state constraints.- Some control-theoretic questions for a free boundary problem.- Differentiation on a lipschitz manifold.- Sharpregularity theory for second order hyperbolic equations of neumann type.- Control of folds.- Controllability and stabilization of two-dimensional elastic vibration with dynamical boundary control.- Shape derivatives and shape acceleration.