Ibtissam Issa's research primarily focuses on the stability and controllability of physical systems modeled by partial differential equations (PDEs), such as wave equations, piezoelectric materials, Euler-Bernoulli beam equations, and Korteweg-de Vries–Burgers equations. I study the energy decay rates of these systems by considering various dissipation laws, including frictional damping, time delay, fractional damping, Kelvin-Voigt damping, and thermoelastic laws.

Control theory plays a crucial role in influencing the behavior of physical systems to achieve desired outcomes. By utilizing feedback mechanisms, it monitors system responses and adjusts outputs accordingly. This field has diverse applications across science and engineering, including:

• Shallow water wave modeling under viscosity effects

• Ion-acoustic waves, capturing the interplay between weak collisional effects and dispersive dynamics

• Structural vibrations, such as those occurring in seismic waves and earthquakes

• The design and control of robotic systems

• Laser control in quantum mechanical and molecular systems