Finite time stability of linear discrete descriptor systems

In this paper the descriptor (singular, semi-state) systems described by a mixture of algebraic and difference equations are treated. The geometric treatment of consistent initial conditions that generate tractable solutions (sequences) to such problems and the construction of non-Lyapunov stability theory to bound rates of decay of such solutions were investigated in some previous papers of the same authors. Moreover, the particular class of descriptor systems have been treated under perturbing forces.