Portal de Periódicos da CAPES

On the asymptotic stabilization of the nonautonomous evolution equations in Hilbert spaces

2023; World Scientific; Linguagem: Inglês

10.1142/s1793557123502212

1793-5571

Hanen Damak, Mohamed Ali Hammami, Khouloud Maaloul,

Advanced Mathematical Modeling in Engineering

This paper deals with the practical feedback stabilization of a class of evolution equations in Hilbert spaces. By using the Lyapunov function method, we give sufficient conditions for the global uniform practical convergence of the closed-loop system. Based on the global null-controllability, we construct an output feedback controller that guarantees global uniform practical stability of uncertain systems. A numerical application is given to show the applicability of our theoretical results.