Control Problems for Systems Described by Partial Differential Equations and Applications Proceedings of the IFIP-WG 7.2 Working Conference, Gainesville, Florida, February 3–6, 1986

This volume comprises the Proceedings of the IFIP 7/2 Conference on Control Problems for Systems Described by Partial Differential Equations and Applications held at the University of Florida, Gainesville, Florida in February 1987. The papers presented in this volume encompass several main directions of current research in the area including optimal control for variational inequalities, free boundary value problems, shape optimization, pareto-control, stabilization and controllability of hyperbolic equations, control problems for large space flexible structures, identification and estimation of distributed parameter systems, and numerical methods for control problems.

On a large space structure control problem.- The time optimal problem for a class of nonlinear systems.- Discontinuous solutions in problems of optimization.- Optimal control for free boundary problems.- Control methods for the numerical computation of periodic solutions of autonomous differential equations.- Pareto control of distributed systems. An introduction.- Abstract stochastic evolution equations and related control and stability problems.- Viability theorems for control systems with feedbacks.- On compactness of admissible parameter sets.- Optimality conditions for optimal control problems of variational inequalities.- Equivalent control problems and applications.- Mathematical methods for the control of infectious diseases.- Solution of the 3-D stationary euler equation by optimal control methods.- Output least squares stability for estimation of the diffusion coefficient in an elliptic equation.- Periodic and almost periodic oscillations in nonlinear systems.- Differentiability of a Min Max and application to optimal control and design problems. Part I.- Differentiability of a Min Max and application to optimal control and design problems. Part II.- Optimal control of nonlinear systems: Convergence of suboptimal controls, II.- Coating reflectivity.- Boundary controllability of Maxwell's equations in a spherical region.- Numerical solution of time-minimal control problems.- Some problems related to boundary stabilization of plates.- Sensitivity and optimal synthesis for a class of linear time-delay systems.- A class of singular control problems.- Near optimal time boundary controllability for a class of hyperbolic equations.- Stability enhancement by state feedback.- Numerical solution of some parabolic boundary control problems by finite elements.- Invarianceunder nonlinear perturbations for reachable and almost-reachable sets.- Sensitivity analysis of optimal control problems for parabolic systems.- Some nonlinear problems in the control of distributed systems.- Null controllability and exact controllability for parabolic equations.- Variable structure control for some evolution equations.