Ebook: Analysis and Optimization of Differential Systems: IFIP TC7 / WG7.2 International Working Conference on Analysis and Optimization of Differential Systems, September 10–14, 2002, Constanta, Romania

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.

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Content:
Front Matter....Pages i-x
Compactness and Long-Time Stabilization of Solutions to Phase-Field Models....Pages 1-12
PDEs in the Inverse Problem of Dynamics....Pages 13-20
Existence and Asymptotic Behavior for some Difference Equations Associated with Accretive Operators....Pages 21-30
Convergence Rate of a Multiplicative Schwarz Method for Strongly Nonlinear Variational Inequalities....Pages 31-41
New Results about the H-Measure of a Set....Pages 43-48
Positional Modeling in a System with Time Delay....Pages 49-55
Uniform Stability of a Coupled System of Hyperbolic/Parabolic PDE’s with Internal Dissipation....Pages 57-68
Existence of Strong Solutions of Fully Nonlinear Elliptic Equations....Pages 69-76
Free Boundary Conditions for Intrinsic Shell Models....Pages 77-88
Error Estimates for Linear-Quadratic Elliptic Control Problems....Pages 89-100
Relaxation for Quasi-Linear Differential Inclusions in Non Separable Banach Spaces....Pages 101-108
Determining Functionals for a Class of Second Order in Time Evolution Equations with Applications to von Karman Equations....Pages 109-122
On Some Cases of Cauchy Problem....Pages 123-132
Iterative Procedure for Stabilizing Solutions of Differential Riccati Type Equations Arising in Stochastic Control....Pages 133-144
Recursive Deconvolution: An Overview of Some Recent Results....Pages 145-156
Determining a Semilinear Parabolic PDE from Final Data....Pages 157-168
About a Generalized Algebraic Riccati Equation....Pages 169-178
On the Dynamics of Contracting Relations....Pages 179-188
Level Set Methods for a Parameter Identification Problem....Pages 189-200
Factorization of Elliptic Boundary Value Problems: The QR Approach....Pages 201-210
On the Sobolev Boundary Value Problem with Singular and Regularized Boundary Conditions for Elliptic Equations....Pages 211-218
On Some Optimization Problem with Non-Quadratic Criterion....Pages 219-226
Nonconservative Schr?dinger Equations with Unobserved Neumann B.C.: Global Uniqueness and Observability in One Shot....Pages 227-234
Optimal Flow in Dynamic Networks with Nonlinear Cost Functions on Edges....Pages 235-246
Method of Extremal Shift in Problems of Reconstruction of an Input for Parabolic Variational Inequalities....Pages 247-258
Flow-Invariance Properties for a Class of Discrete-Time Nonlinear Uncertain Systems....Pages 259-268
Differential Properties of Lipschitz, Hamiltonian and Characteristic Flows....Pages 269-280
The Control of Saffman-Taylor Instability....Pages 281-290
Singular Perturbations of Hyperbolic-Parabolic Type....Pages 291-295
Improved Dynamic Properties by Feedback for Systems with Delay in Control....Pages 297-301
General Connections between Strong Optimization and Pareto Efficiency....Pages 303-313
Generalized Ho-Kalman Algorithm for 2D Continuous Discrete Linear Systems....Pages 315-320
Numerical Methods for Nash Equilibria in Multiobjective Control of Partial Differential Equations....Pages 321-332
Local Bifurcation for the Fitzhugh-Nagumo System....Pages 333-344
Optimization of Steady-State Flow of Incompressible Fluids....Pages 345-356
Topological Degree Approach to Steady State Flow....Pages 357-368
Fast Numerical Algorithms for Wiener Systems Identification....Pages 369-374
Optimization of Differential Systems with Hysteresis....Pages 375-386
Optimal Control of Non Stationary, Three Dimensional Micropolar Flows....Pages 387-398
Riccati Equation of Stochastic Control and Stochastic Uniform Observability in Infinite Dimensions....Pages 399-408
Componentwise Asymptotic Stability Induced by Symmetrical Polyhedral Time-Dependent Constraints....Pages 409-419
....Pages 421-432