The Stability of Linear Discrete Descriptor Systems in the Sense of Lyapunov: an Overview
Dragutin Debeljković,
Nemanja Višnjić,
Milimir Pješćić
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 descriptor 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 1985 up to now days and has strong intention to present the main concepts and contributions that have been derived during mentioned period through the whole world, published in the respectable international journals or presented on workshops or prestigious conferences.
Key words: discrete system, descriptive system, linear system, asymptotic stability, Lyapunov stability, robustness.