The stabilization for some infinite-dimensional implicit dynamical systems

Abstract:
The aim of this research is to study the stabilization for some implicit dynamical (controlled) systems in Hilbert spaces, using the Spectral Theory of the corresponding pencil zA-B of operators. The results achieved are the generalization of the Theorem of Lyapunov for the spectrum of the pencil zA-B and the establishment of the conditions of the stability and stabilization.