Generalized oscillatory space in time scales and applications.- Some insights on the practical control of hyperbolic systems.- Observers for data assimilation and parameter estimation.- On the path to deciphering the helffer-nier conjecture.- Geometric inverse problem for the navier-stokes equations.- An inverse problem for the wave equation in anisotropic media.- Stability estimates for initial data in general ornstein-uhlenbeck equations.- A note on the fast stabilization of controlled discretized vlasov-poisson system.- Mathematical control of the salwater intrusion in coastal aquifers.- Some insights into partial pole placement method in observers design for time-delay systems.- On exponential stability of a delayed thermoelastic system.- Design of quasipolynomial-based controllers with dynamical parameters application to active vibration damping.- Optimization of rate of penetration through regression model.

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 Theory & Inverse Problems” held in Monastir, Tunisia in May 2023. In addition to providing a snapshot of these two areas, chapters also highlight breakthroughs on more specific topics, such as: Control of hyperbolic systemsThe Helffer-Nier ConjectureRapid stabilization of the discretized Vlasov systemExponential stability of a delayed thermoelastic system Control Theory and Inverse Problems will be a valuable resource for both established researchers as well as more junior members of the community.

Presents an overview of control theory and inverse problems suitable for both established and junior researchers Highlights recent advances in these rapidly developing areas of research Collects talks given at the spring school “Control Theory & Inverse Problems” held in Monastir, Tunisia in May 2023