Control and Estimation of Distributed Parameter Systems

1. Front Matter

   Pages i-x

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2. Approximation Results for Parameter Estimation in Nonlinear Elastomers

   • H. T. Banks, Gabriella A. Pinter

   Pages 1-13

3. Preconditioners for Karush-Kuhn-Tucker Matrices Arising in the Optimal Control of Distributed Systems

   • A. Battermann, M. Heinkenschloss

   Pages 15-32

4. Augmented Lagrangian Algorithms for State Constrained Optimal Control Problems

   • M. Bergounioux, K. Kunisch

   Pages 33-48

5. A Priori Estimates for the Approximation of a Parabolic Boundary Control Problem

   • Ariela Briani, Maurizio Falcone

   Pages 49-65

6. On the Wellposedness of the Chaboche Model

   • Martin Brokate, Pavel Krejčí

   Pages 67-79

7. On the Behaviour of the Value Function of a Mayer Optimal Control Problem along Optimal Trajectories

   • Piermarco Cannarsa, Maria Elisabetta Tessitore

   Pages 81-88

8. Optimal Control Problem Governed by Semilinear Elliptic Equations with Integral Control Constraints and Pointwise State Constraints

   • E. Casas, J.-P. Raymond, H. Zidani

   Pages 89-102

9. Designing for Optimal Energy Absorption II, The Damped Wave Equation

   • Steven J. Cox

   Pages 103-109

10. On the Approximate Controllability for Higher Order Parabolic Nonlinear Equations of Cahn-Hilliard Type

    • J. I. Díaz, A. M. Ramos

    Pages 111-127

11. Control Problems for Parabolic Equations with State Constraints and Unbounded Control Sets

    • H. O. Fattorini

    Pages 129-140

12. Remarks on the Controllability of Some Stochastic Partial Differential Equations

    • E. Fernández-Cara, J. Real

    Pages 141-151

13. A Reduced Basis Method for Control Problems Governed by PDEs

    • K. Ito, S. S. Ravindran

    Pages 153-168

14. Proximal Penalty Method for Ill-Posed Parabolic Optimal Control Problems

    • A. Kaplan, R. Tichatschke

    Pages 169-182

15. On the Control of Coupled Linear Systems

    • Vilmos Komornik, Paola Loreti, Enrique Zuazua

    Pages 183-189

16. On Dynamic Domain Decomposition of Controlled Networks of Elastic Strings and Joint-Masses

    • G. Leugering

    Pages 191-205

17. On a Weakly Damped System Arising in the Control of Noise

    • Sorin Micu, Enrique Zuazua

    Pages 207-222

18. Dirichlet Boundary Control of Parabolic Systems with Pointwise State Constraints

    • Boris S. Mordukhovich, Kaixia Zhang

    Pages 223-236

19. Second Order Optimality Conditions and Stability Estimates for the Identification of Nonlinear Heat Transfer Laws

    • Arnd Rösch

    Pages 237-246

20. LQR Control of Shell Vibrations via Piezoceramic Actuators

    • R. C. H. del Rosario, R. C. Smith

    Pages 247-265

Consisting of 23 refereed contributions, this volume offers a broad and diverse view of current research in control and estimation of partial differential equations. Topics addressed include, but are not limited to - control and stability of hyperbolic systems related to elasticity, linear and nonlinear; - control and identification of nonlinear parabolic systems; - exact and approximate controllability, and observability; - Pontryagin's maximum principle and dynamic programming in PDE; and - numerics pertinent to optimal and suboptimal control problems. This volume is primarily geared toward control theorists seeking information on the latest developments in their area of expertise. It may also serve as a stimulating reader to any researcher who wants to gain an impression of activities at the forefront of a vigorously expanding area in applied mathematics.

• Algebra
• Applied Mathematics
• PDE
• Systems and Control
• algorithms
• equation
• function
• linear optimization
• mathematics
• maximum principle
• partial differential equation
• wave equation

    "The book makes an important theoretical contribution… By its broad coverage, good organization, the theoretical results included, and the highlighted potential applications, [it] recommends itself as an advanced, supplementary reading in mathematical system theory for partial differential equations."    -- Studies in Informatics and Control   

• Institut für Mathematik, Universität Graz, Graz, Austria

  W. Desch, F. Kappel, K. Kunisch

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