Optimal Control

1. Front Matter

   Pages i-xv

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2. Uniform Decays in Nonlinear Thermoelastic Systems

   • George Avalos, Irena Lasiecka

   Pages 1-23

3. Absolute Stability of Feedback Systems in Hilbert Spaces

   • Francesca Bucci

   Pages 24-39

4. A Projection Method for Accurate Computation of Design Sensitivities

   • John A. Burns, Lisa G. Stanley, Dawn L. Stewart

   Pages 40-66

5. On Exact Controllability and Convergence of Optimal Controls to Exact Controls of Parabolic Equations

   • Yanzhao Cao, Max Gunzburger, James Turner

   Pages 67-83

6. Spectral Analysis of Thermo-elastic Plates with Rotational Forces

   • S. K. Chang, Roberto Triggiani

   Pages 84-115

7. Robinson’s Strong Regularity Implies Robust Local Convergence of Newton’s Method

   • S. P. Dokov, A. L. Dontchev

   Pages 116-129

8. Augmented Gradient Projection Calculations for Regulator Problems with Pointwise State and Control Constraints

   • Joseph C. Dunn

   Pages 130-153

9. On a SQP-Multigrid Technique for Nonlinear Parabolic Boundary Control Problems

   • Helmuth Goldberg, Fredi Tröltzsch

   Pages 154-177

10. Formulation and Analysis of a Sequential Quadratic Programming Method for the Optimal Dirichlet Boundary Control of Navier-Stokes Flow

    • Matthias Heinkenschloss

    Pages 178-203

11. A Shape Optimization Problem for the Heat Equation

    • Antoine Henrot, Jan Sokołowski

    Pages 204-223

12. Energy Decay in H ² × L ₂ for Semilinear Plates with Nonlinear Boundary Dissipation Acting via Moments Only

    • Guangcao Ji, Irena Lasiecka

    Pages 224-249

13. Cut-Loci and Cusp Singularities in Parametrized Families of Extremals

    • Matthew Kiefer, Heinz Schättler

    Pages 250-277

14. Optimization Techniques for Stable Reduced Order Controllers for Partial Differential Equations

    • Belinda B. King, Ekkehard W. Sachs

    Pages 278-297

15. High-Order Extended Maximum Principles for Optimal Control Problems with Non-Regular Constraints

    • Urszula Ledzewicz, Heinz Schättler

    Pages 298-325

16. Optimization of the Short Term Operation of a Cascade of Hydro Power Stations

    • Per Olov Lindberg, Andreas Wolf

    Pages 326-345

17. Remarks on Hybrid Systems

    • Walter Littman, Bo Liu

    Pages 346-353

18. Uniform Stabilization of a Thin Cylindrical Shell with Rotational Inertia Terms

    • C. McMillan

    Pages 354-368

19. H ^∞ Optimal Control of Time-Varying Systems with Integral State Constraints

    • Boris S. Mordukhovich, Kaixia Zhang

    Pages 369-387

20. Interaction of Design and Control: Optimization with Dynamic Models

    • Carl A. Schweiger, Christodoulos A. Floudas

    Pages 388-435

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.

• Newton's method
• algorithm
• algorithms
• calculus
• chemical engineering
• design
• optimization
• programming

• Department of Mathematics and Center for Applied Optimization, University of Gainesville, Gainesville, USA

  William H. Hager

• Department of Industrial & Systems Engineering and Center for Applied Optimization, University of Florida, Gainesville, USA

  Panos M. Pardalos

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