Symmetry in Nonlinear Mathematical Physics - 2009

Mehdi Benabdallah (Qatar University, Doha, Qatar)

The stabilization for some infinite-dimensional implicit dynamical systems

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.