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This paper focuses on the stability analysis of a discrete-time linear system with an interval-like time-varying delay in the state. A novel inequality for finite-sum Σj=(r1)(r2)-1ωT(j)Rω(j) is first established, where r1 and r2 are integers or integer-valued functions and R is a symmetric definite positive matrix. One of advantages of this inequality is that the factor r2-r1 appears in the estimation...
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