Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena

1. Front Matter

   Pages i-xiii

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2. A Semigroup Formulation of a Nonlinear Size-Structured Distributed Rate Population Model

   • H. T. Banks, F. Kappel, C. Wang

   Pages 1-19

3. Damage Detection and Characterization in Smart Material Structures

   • H. T. Banks, Y. Wang

   Pages 21-43

4. Optimality Conditions for Non-Qualified Parabolic Control Problems

   • M. Bergounioux, T. Männikkö, D. Tiba

   Pages 45-60

5. Convergence of Trajectories for a Controlled Viscous Burgers’ Equation

   • Christopher I. Byrnes, David S. Gilliam, Victor I. Shubov

   Pages 61-77

6. Optimality Conditions for Boundary Control Problems of Parabolic Type

   • Piermarco Cannarsa, Maria Elisabetta Tessitore

   Pages 79-96

7. Pontryagin’s Principle for Optimal Control Problems Governed by Semilinear Elliptic Equations

   • Eduardo Casas

   Pages 97-114

8. Invariance of the Hamiltonian in Control Problems for Semilinear Parabolic Distributed Parameter Systems

   • H. O. Fattorini

   Pages 115-130

9. Rate Distribution Modeling for Structured Heterogeneous Populations

   • Ben G. Fitzpatrick

   Pages 131-141

10. A Model for a Two-Layered Plate with Interfacial Slip

    • Scott W. Hansen

    Pages 143-170

11. Numerical Solution of a Constrained Control Problem for a Phase Field Model

    • M. Heinkenschloss, E. W. Sachs

    Pages 171-187

12. Uniform Stabilizability of Nonlinearly Coupled Kirchhoff Plate Equations

    • Mary Ann Horn, Irena Lasiecka

    Pages 189-210

13. Boundary Temperature Control for Thermally Coupled Navier-Stokes Equations

    • Kazufumi Ito

    Pages 211-230

14. Adaptive Estimation of Nonlinear Distributed Parameter Systems

    • Joseph Kazimir, I. G. Rosen

    Pages 231-251

15. Decay Estimates for the Wave Equation with Internal Damping

    • Vilmos Komornik

    Pages 253-266

16. On the Controllability of the Rotation of a Flexible Arm

    • W. Krabs

    Pages 267-279

17. Modeling and Controllability of Interconnected Elastic Membranes

    • J. E. Lagnese

    Pages 281-299

18. On Feedback Controls for Dynamic Networks of Strings and Beams and their Numerical Simulation

    • Günter Leugering

    Pages 301-326

19. Various Relaxations in Optimal Control of Distributed Parameter Systems

    • Tomáš Roubíček

    Pages 327-341

20. Convergence of an SQP-Method for a Class of Nonlinear Parabolic Boundary Control Problems

    • Fredi Tröltzsch

    Pages 343-357

22 papers on control of nonlinear partial differential equations highlight the area from a broad variety of viewpoints. They comprise theoretical considerations such as optimality conditions, relaxation, or stabilizability theorems, as well as the development and evaluation of new algorithms. A significant part of the volume is devoted to applications in engineering, continuum mechanics and population biology.

• algorithms
• differential equation
• nonlinear partial differential equation
• partial differential equation

• Institut für Mathematik, Universitat Graz, Graz, Austria

  W. Desch, F. Kappel

• Fachbereich Mathematik, Technische Universitat Berlin, Berlin, Germany

  K. Kunisch

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