Control of Partial Differential Equations and Applications
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Based on the International Federation for Information Processing TC7/WG-7.2 Conference, held in Laredo, Spain, this work covers theoretical advances as well as results on control problems and applications for partial differential equations. It examines the controllability and stabilization of distributed sytems, optimality conditions, shape optimization and numerical methods.
Table of Contents
An algorithm of interior point for multidisciplinary optimal design; on drag differentiability for Lipschitz domains; some examples of optimality conditions for convex control problems with general constraints; Cauchy problem for Hamilton-Jacobi equations and Dirichlet boundary control problems of parabolic type; fictitious domain approach used in shape optimization - Neumann boundary condition; modelling and control of thin/shallow shells; obstruction and some approximate controllability results for the Burgers equation and related problems; some controllability problems for the Stokes and Navier-Stokes systems; on some weighting methods to improve output least squares estimation; boundary control of a Schrodinger equation with nonconstant principal part; augmented Lagrangian formulation of nonsmooth convex optimization in Hilbert spaces; analysis of the control of wave generators in a canal; boundary stabilization of isotropic elasticity systems; time-minimal control of rotating beams; a singular control approach to highly damped second-order abstract equations and applications; uniform stabilization of a shallow spherical shell with boundary dissipation; SQP interior point methods for parabolic control problems; reverberation analysis and control of networks of elastic strings; remarks on the control of sensitive distributed systems; stabilization and periodic solutions of a hybrid system arising in the control of noise; differentiability of projection and applications; applications of exact controllability to some inverse problems for the wave equations; the approximation of the optimal control of vibrations; a static formation theory for active elastic materials; optimal control of free boundaries; a stability theorem for linear-quadratic parabolic control problems.