Exponential stability of linear systems under a class of Desch-Schappacher perturbations

Safae El Alaoui, Mohamed Ouzahra

In this paper we investigate the uniform exponential stability of the system $\frac{dx(t)}{dt}=Ax(t)-\rho Bx(t),(\rho >0),$ where the unbounded operator $A$ is the infinitesimal gener…