Control Theory and Inverse Problems The 2023 Workshop in Monastir, Tunisia

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 systems
• The Helffer-Nier Conjecture
• Rapid stabilization of the discretized Vlasov system
• Exponential 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.

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.