Finite time stability of linear discrete systems: retrospective of results

 

Dragutin Lj. Debeljković

 

A detailed chronological review of the results concerning finite time stability of linear discrete systems has been given along with numerous definitions. Through selectively chosen theorems the most recently published and up to date results have been exposed, specifying the conditions of stability and instability of linear discrete systems in free and forced regime. Most of the results are given in the form of sufficient conditions for this stability concept.

 

Key words: discrete systems, finite time stability, practical stability, Bellman–Gronwall lemma.

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