%0 Journal Article
%T FINITE-TIME STABILITY ANALYSIS OF DISCRETE TIME-DELAY SYSTEMS USING DISCRETE CONVOLUTION OF DELAYED STATES
%A Dragan S. Anti£¿
%A Dragutin Lj. Debeljkovi£¿
%A Sreten B. Stojanovi£¿
%J -
%D 2015
%X Finite-time stability for the linear discrete-time system with state delay was investigated in this article. Stability of the system was analyzed using both the Lyapunov-like approach and the discrete Jensen¡¯s inequality. A novel Lyapunov-like functional with a discrete convolution of delayed states was proposed and used for the derivation of the sufficient stability conditions of the investigated system. As a result, the novel stability conditions guarantee that the states of the systems do not exceed the predefined boundaries on a finite time interval. The proposed methodology was illustrated with a numerical example. A computer simulation was performed for the analysis of the dynamical behavior of this system
%U http://casopisi.junis.ni.ac.rs/index.php/FUAutContRob/article/view/1368