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....Pages i-xv Uniform Decays in Nonlinear Thermoelastic Systems....Pages 1-23 Absolute Stability of Feedback Systems in Hilbert Spaces....Pages 24-39 A Projection Method for Accurate Computation of Design Sensitivities....Pages 40-66 On Exact Controllability and Convergence of Optimal Controls to Exact Controls of Parabolic Equations....Pages 67-83 Spectral Analysis of Thermo-elastic Plates with Rotational Forces....Pages 84-115 Robinson’s Strong Regularity Implies Robust Local Convergence of Newton’s Method....Pages 116-129 Augmented Gradient Projection Calculations for Regulator Problems with Pointwise State and Control Constraints....Pages 130-153 On a SQP-Multigrid Technique for Nonlinear Parabolic Boundary Control Problems....Pages 154-177 Formulation and Analysis of a Sequential Quadratic Programming Method for the Optimal Dirichlet Boundary Control of Navier-Stokes Flow....Pages 178-203 A Shape Optimization Problem for the Heat Equation....Pages 204-223 Energy Decay in H 2 × L 2 for Semilinear Plates with Nonlinear Boundary Dissipation Acting via Moments Only....Pages 224-249 Cut-Loci and Cusp Singularities in Parametrized Families of Extremals....Pages 250-277 Optimization Techniques for Stable Reduced Order Controllers for Partial Differential Equations....Pages 278-297 High-Order Extended Maximum Principles for Optimal Control Problems with Non-Regular Constraints....Pages 298-325 Optimization of the Short Term Operation of a Cascade of Hydro Power Stations....Pages 326-345 Remarks on Hybrid Systems....Pages 346-353 Uniform Stabilization of a Thin Cylindrical Shell with Rotational Inertia Terms....Pages 354-368 H ∞ Optimal Control of Time-Varying Systems with Integral State Constraints....Pages 369-387 Interaction of Design and Control: Optimization with Dynamic Models....Pages 388-435 Multidifferential Calculus: Chain Rule, Open Mapping and Transversal Intersection Theorems....Pages 436-487 Resolution of Regularized Output Least Squares Estimators for Elliptic and Parabolic Problems....Pages 488-513 Back Matter....Pages 515-515 This book presents some of the most recent advances in optimal control, both in theory, algorithms, and applications. Theoretical developments include the analysis of feedback stability for the thermoelastic systems and extensions of the maximum principle. Algorithmic developments include new formulations of the augmented gradient projection method, and sequential quadratic programming methodologies. Application areas include aerospace design, operation of hydro power stations, and chemical engineering. Audience: Applied mathematicians, control theorists, engineers involved with aerospace design, chemical engineers, hydraulic engineers.
