Control Theory and Inverse Problems

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.