The Stability of Linear Continuous Singular and Discrete Descriptor Time Delayed Systems in the Sense of Lyapunov: An Overview

Dragutin Debeljković

Sreten Stojanović

Tamara Nestorović

This paper gives a detailed overview of the work and the results of many authors in the area of Lyapunov stability of a particular class of linear systems.

This survey covers the period since 1980 up to nowadays and has strong intention to present the main concepts and contributions during the mentioned period throughout the world, published in the respectable international journals or presented at workshops or prestigious conferences.

Key words: linear system, continuous system, singular system, discrete system, descriptive system, system stability, time delayed system, Lyapunov stability.