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In this paper, we will study the robust stability of time delay systems. Under some proper assumptions, we give the edge theorem of time domain version for the delay systems with rank-one uncertainty, which extends the frequency domain edge theorem for delay systems to the time domain case.
This paper deals with the robust stability of time-invariant systems with delays. Using the frequency domain edge theorem developed by Fu, Olbrot and Polis (IEEE Tran. Automat. Contr. 34(1989), 813-820), which presents that the robust stability of a polytope generated by the convex combination of a number of quasipolynomials is equivalent to the stability of the edge quasipolynomials, the authors...
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