Control Theory of Infinite-Dimensional Systems

1. Front Matter

   Pages i-vii

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2. Well-posedness and stability for interconnection structures of port-Hamiltonian type

   • Björn Augner

   Pages 1-52

3. A distance between operators acting in different Hilbert spaces and operator convergence

   • Olaf Post, Jan Simmer

   Pages 53-72

4. Infinite-time admissibility under compact perturbations

   • Jochen Schmid

   Pages 73-82

5. Input-to-state stability for parabolic boundary control:linear and semilinear systems

   • Felix L. Schwenninger

   Pages 83-116

6. Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains

   • Michela Egidi, Ivica Nakić, Albrecht Seelmann, Matthias Täufer, Martin Tautenhahn, Ivan Veselić

   Pages 117-157

7. Dichotomous Hamiltonians and Riccati equations for systems with unbounded control and observation operators

   • Christian Wyss

   Pages 158-194

This book presents novel results by participants of the conference “Control theory of infinite-dimensional systems” that took place in January 2018 at the FernUniversität in Hagen. Topics include well-posedness, controllability, optimal control problems as well as stability of linear and nonlinear systems, and are covered by world-leading experts in these areas.

A distinguishing feature of the contributions in this volume is the particular combination of researchers from different fields in mathematics working in an interdisciplinary fashion on joint projects in mathematical system theory. More explicitly, the fields of partial differential equations, semigroup theory, mathematical physics, graph and network theory as well as numerical analysis are all well-represented.

• operators on graphs.
• systems theory
• control theory
• controllability
• optimal control problems
• stability of linear and nonlinear systems
• partial differential equations

• Lehrgebiet Analysis, Fernuniversität in Hagen Lehrgebiet Analysis, Hagen, Germany

  Joachim Kerner, Hafida Laasri

• Lehrgebiet Analysis, FernUniversität in Hagen Lehrgebiet Analysis, Hagen, Germany

  Delio Mugnolo

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