Analysis and Optimization of Differential Systems

Analysis and Optimization of Differential Systems focuses on the qualitative aspects of deterministic and stochastic differential equations. Areas covered include:
Ordinary and partial differential systems;
Optimal control of deterministic and stochastic evolution equations;
Control theory of Partial Differential Equations (PDE's);
Optimization methods in PDE's with numerous applications to mechanics and physics;
Inverse problems;
Stability theory;
Abstract optimization problems;
Calculus of variations;
Numerical treatment of solutions to differential equations and related optimization problems.

These research fields are under very active development and the present volume should be of interest to students and researchers working in applied mathematics or in system engineering.

This volume contains selected contributions presented during the International Working Conference on Analysis and Optimization of Differential Systems, which was sponsored by the International Federation for Information Processing (IFIP) and held in Constanta, Romania in September 2002. Among the aims of this conference was the creation of new international contacts and collaborations, taking advantage of the new developments in Eastern Europe, particularly in Romania. The conference benefited from the support of the European Union via the EURROMMAT program.

Klappentext

Analysis and Optimization of Differential Systems focuses on the qualitative aspects of deterministic and stochastic differential equations. Areas covered include: Ordinary and partial differential systems; Optimal control of deterministic and stochastic evolution equations; Control theory of Partial Differential Equations (PDE's); Optimization methods in PDE's with numerous applications to mechanics and physics; Inverse problems; Stability theory; Abstract optimization problems; Calculus of variations; Numerical treatment of solutions to differential equations and related optimization problems. These research fields are under very active development and the present volume should be of interest to students and researchers working in applied mathematics or in system engineering. This volume contains selected contributions presented during the International Working Conference on Analysis and Optimization of Differential Systems, which was sponsored by the International Federation for Information Processing (IFIP) and held in Constanta, Romania in September 2002. Among the aims of this conference was the creation of new international contacts and collaborations, taking advantage of the new developments in Eastern Europe, particularly in Romania. The conference benefited from the support of the European Union via the EURROMMAT program.

Inhalt
Compactness and long-time stabilization of solutions to phase-field models.- PDEs in the inverse problem of dynamics.- Existence and asymptotic behavior for some difference equations associated with accretive operators.- Convergence rate of a multiplicative Schwarz method for strongly nonlinear variational inequalities.- New results about the H-measure of a set.- Positional modeling in a system with time delay.- Uniform stability of a coupled system of hyperbolic/parabolic PDE's with internal dissipation.- Existence of strong solutions of fully nonlinear elliptic equations.- Free boundary conditions for intrinsic shell models.- Error estimates for linear-quadratic elliptic control problems.- Relaxation for quasi-linear differential inclusions in non separable Banach spaces.- Determining functionals for a class of second order in time evolution equations with applications to von Karman equations.- On some cases of Cauchy problem.- Iterative procedure for stabilizing solutions of differential Riccati type equations arising in stochastic control.- Recursive deconvolution: an overview of some recent results.- Determining a semilinear parabolic PDE from final data.- About a generalized algebraic Riccati equation.- On the dynamics of contracting relations.- Level set methods for a parameter identification problem.- Factorization of elliptic boundary value problems: the QR approach.- Smooth mappings and non Ft-adapted solutions associated with Hamilton-Iacobi stochastic equations.- On the Sobolev boundary value problem with singular and regularized boundary conditions for elliptic equations.- On some optimization problem with non-quadratic criterion.- Nonconservative Schrödinger equations with unobserved Neumann B.C.: Global uniqueness and observability in one shot.-Optimal flow in dynamic networks with nonlinear cost functions on edges.- Method of extremal shift in problems of reconstruction of an input for parabolic variational inequalities.- Flow-invariance properties for a class of discrete-time nonlinear uncertain systems.- Differential properties of Lipschitz, Hamiltonian and characteristic flows.- The control of Saffman-Taylor instability.- Singular perturbations of hyperbolic-parabolic type.- Improved dynamic properties by feedback for systems with delay in control.- General connections between strong optimization and Pareto efficiency.- Generalized Ho-Kalman algorithm for 2D continuous discrete linear systems.- Numerical methods for Nash equilibria in multiobjective control of partial differential equations.- Local bifurcation for the FitzHugh-Nagumo system.- Optimization of steady-state flow of incompressible fluids.- Topological degree approach to steady state flow.- Fast numerical algorithms for Wiener systems identification.- Optimization of differential systems with hysteresis.- Optimal control of non stationary, three dimensional micropolar flows.- An H? design method for fault detection and identification problems.- Riccati equation of stochastic control and stochastic uniform observability in infinite dimensions.- Componentwise asymptotic stability induced by symmetrical polyhedral time-dependent constraints.