This volume presents a timely overview of control theory and inverse problems, and highlights recent advances in these active research areas. The chapters are based on talks given at the spring school "Control & Inverse Problems" held in Monastir, Tunisia in May 2022. In addition to providing a snapshot of these two areas, chapters also highlight breakthroughs on more specific topics, such as:
- Controllability of dynamical systems
- Information transfer in multiplier equations
- Nonparametric instrumental regression
- Control of chained systems
- The damped wave equation
Control and Inverse Problems will be a valuable resource for both established researchers as well as more junior members of the community.
Inhaltsverzeichnis
Stabilization of one dimensional wave equation with variable potential and torque. - Controlling a dynamic system through reinforcement learning. - Landweber iterative method for an inverse source problem of space-fractional diffusion equations. - On the Spectrum Distribution of Parametric Second-order Delay Differential Equations. Perspectives in Partial Pole Placement. - Exact controllability of the linear Biharmonic Schrdinger equation with space-dependent coefficients. - Carleman estimate and application to the stabilization of a dissipative hyperbolic system. - On the transfer of information in multiplier equations. - A Global Carleman Estimates of the linearized sixth-order 1 D-Boussinesq equation Application. - Nonparametric instrumental regression via mollification. - Finite-time stabilization of some classes of infinite dimensional systems. - Dispersion on certain Cartesian products of graphs. - Tracking Control of Chained Systems: application to nonholonomic unicycle mobile robots. - A short elementary proof of the Gearhart-Pruss theorem for bounded semigroups. - Revisit the damped wave equation.
