The Stability of Linear Discrete Time Delay Systems in the Sense of Lyapunov: An Overview

 

Dragutin Lj. Debeljković

Sreten Stojanović

 

This paper gives a detailed an overview of the work and the results of many authors in the area of Lyapunov stability of particular class of linear discrete time delay systems. In that sense the discrete Lyapunov equation for discrete implicit systems is of particular interest.

The stability robustness problem has been also treated.

This survey covers the period since 2002 up to nowadays and has strong intention to present the main concepts and contributions that have been derived during the mentioned period in the whole world, published in the respectable international journals or presented at workshops or prestigious conferences.

Key words: linear system, discrete system, system stability, time delay system, Lyapunov stability, asymptotic stability.