%0 Journal Article
%T DETECTABILITY OF LINEAR DISCRETE TIME LINEAR SYSTEMS DEFINED BY POSITIVE OPERATORS
%A V.M. Ungureanu
%J Revista Fiabilitate si Durabilitate
%D 2010
%I Academica Brancusi
%X In this paper we extend the notion of detectability, introduced in [1] in connection with stochastic systems, to a more general class of linear discrete time systems defined by positive operators. We also extend a result in [1], which mainly state that, under detectability hypothesis, the considered linear discrete-time system is exponentially stable if and only if an associated Lyapunov equation has a bounded solution.
%K operators
%K Hilbert spaces
%K Banach subspace.
%U http://www.utgjiu.ro/rev_mec/mecanica/pdf/2010-01/17_Viorica%20Ungureanu.pdf