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- W2053372562 abstract "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 Σ <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>j=(r1)</sub> <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>(r2)-1</sup> ω <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>T</sup> (j)Rω(j) is first established, where r <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>1</sub> and r <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sub> are integers or integer-valued functions and R is a symmetric definite positive matrix. One of advantages of this inequality is that the factor r <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sub> -r <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>1</sub> appears in the estimation of the finite-sum linearly. The new inequality together with convex combination technique results in a novel delay-dependent stability criterion, which has been proven theoretically to be less conservative than some existing ones reported in the literature. Two numerical examples are given to show the validity of the proposed method." @default.
- W2053372562 created "2016-06-24" @default.
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- W2053372562 date "2010-12-01" @default.
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- W2053372562 title "A novel finite-sum inequality for stability of discrete-time linear systems with interval-like time-varying delays" @default.
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- W2053372562 doi "https://doi.org/10.1109/cdc.2010.5717135" @default.
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