Kerner J., Laasri H., Mugnolo D. (Eds.) Control Theory of Infinite-Dimensional Systems

Springer, 2020. — 201 p. — (Operator Theory: Advances and Applications 277). — ISBN: 978-3-030-35897-6.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.Well-posedness and stability for interconnection structures of port-Hamiltonian type
A distance between operators acting in different Hilbert spaces and operator convergence
Infinite-time admissibility under compact perturbations
Input-to-state stability for parabolic boundary control:linear and semilinear systems
Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains
Dichotomous Hamiltonians and Riccati equations for systems with unbounded control and observation operators