ROBUSTNESS OF DISCRETE SYSTEMS: A REVIEW

Abstract Since the publications of Kharitonov's seminal theorems on robust stability of continuous systems, a surge of research activities have appeared to obtain the discrete analogs, counterparts, and equivalents of these theorems. In this paper, a review of such results is discussed. The recent development of the Edge theorem by Bartlett, Hollot, and Lin, has shed some light on both Kharitonov's theorems, and on its discrete counterparts. A discussion of this theorem as applied to the discrete case is also reviewed in this paper. In the conclusion, several open research problems are outlined. A comprehensive bibliography in this area of research is included.

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