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- W2007371451 abstract "We consider a continuous-time, single-input, single-output, linear time-invariant distributed feedback system perturbed by a small delay in the loop. Conditions are given under which the L <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sup> - stability and L <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sup> -instability of this feedback system can be deduced from those of the unperturbed system (obtained by setting the delay equal to zero). These conditions require the examination of a high-frequency approximation to the unperturbed system. The precise results are stated in Theorem 1. Our condition for neglecting the small delay in the L <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sup> -stability problem is stricter than the well-posedness condition given by Willems." @default.
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- W2007371451 date "1973-10-01" @default.
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- W2007371451 title "<tex>L</tex><sup>2</sup>-stability and<tex>L</tex><sup>2</sup>-instability of linear time-invariant distributed feedback systems perturbed by a small delay in the loop" @default.
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- W2007371451 doi "https://doi.org/10.1109/tac.1973.1100370" @default.
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