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February 27 - March 1, 1997, the conference Optimal Control: The­ ory, Algorithms, and Applications took place at the University of Florida, hosted by the Center for Applied Optimization. The conference brought together researchers from universities, industry, and government laborato­ ries in the United States, Germany, Italy, France, Canada, and Sweden. There were forty-five invited talks, including seven talks by students. The conference was sponsored by the National Science Foundation and endorsed by the SIAM Activity Group on Control and Systems Theory, the Mathe­ matical Programming Society, the International Federation for Information Processing (IFIP), and the International Association for Mathematics and Computers in Simulation (IMACS). Since its inception in the 1940s and 1950s, Optimal Control has been closely connected to industrial applications, starting with aerospace. The program for the Gainesville conference, which reflected the rich cross-disci­ plinary flavor of the field, included aerospace applications as well as both novel and emerging applications to superconductors, diffractive optics, non­ linear optics, structural analysis, bioreactors, corrosion detection, acoustic flow, process design in chemical engineering, hydroelectric power plants, sterilization of canned foods, robotics, and thermoelastic plates and shells. The three days of the conference were organized around the three confer­ ence themes, theory, algorithms, and applications. This book is a collection of the papers presented at the Gainesville conference. We would like to take this opportunity to thank the sponsors and participants of the conference, the authors, the referees, and the publisher for making this volume possible.
Front Matter.
Uniform Decays in Nonlinear Thermoelastic Systems.
Absolute Stability of Feedback Systems in Hilbert Spaces.
A Projection Method for Accurate Computation of Design Sensitivities.
On Exact Controllability and Convergence of Optimal Controls to Exact Controls of Parabolic Equations.
Spectral Analysis of Thermo-elastic Plates with Rotational Forces.
Robinson’s Strong Regularity Implies Robust Local Convergence of Newton’s Method.
Augmented Gradient Projection Calculations for Regulator Problems with Pointwise State and Control Constraints.
On a SQP-Multigrid Technique for Nonlinear Parabolic Boundary Control Problems.
Formulation and Analysis of a Sequential Quadratic Programming Method for the Optimal Dirichlet Boundary Control of Navier-Stokes Flow.
A Shape Optimization Problem for the Heat Equation.
Energy Decay in H 2 × L 2 for Semilinear Plates with Nonlinear Boundary Dissipation Acting via Moments Only.
Cut-Loci and Cusp Singularities in Parametrized Families of Extremals.
Optimization Techniques for Stable Reduced Order Controllers for Partial Differential Equations.
High-Order Extended Maximum Principles for Optimal Control Problems with Non-Regular Constraints.
Optimization of the Short Term Operation of a Cascade of Hydro Power Stations.
Remarks on Hybrid Systems.
Uniform Stabilization of a Thin Cylindrical Shell with Rotational Inertia Terms.
H ∞ Optimal Control of Time-Varying Systems with Integral State Constraints.
Interaction of Design and Control: Optimization with Dynamic Models.
Multidifferential Calculus: Chain Rule, Open Mapping and Transversal Intersection Theorems.
Resolution of Regularized Output Least Squares Estimators for Elliptic and Parabolic Problems.
Back Matter