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Absolute exponential stability problem of delay time-varying systems (DTVS)with sector-bounded nonlinearity is presented in this paper. By using thecomparison principle and properties of positive systems we derive several novelcriteria of absolute exponential stability, for both continuous-time anddiscrete-time nonlinear DTVS. When applied to the time-invariant case, theobtained stability criteria are shown to cover and extend some previously knownresults, including, in particular, the result due to S.K. Persidskii inUkrainian Mathematical Journal, vol. 57(2005). The theoretical results areillustrated by examples that can not be treated by the existing ones.

Absolute exponential stability criteria of delay time-varying systems with sector-bounded nonlinearity: a comparison approach