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.
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.
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