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- W1990335891 abstract "In this paper, signals in <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>(L)_{2}(- infty, t]</tex> , a subspace of the space of square integrable signals defined on <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>(- infty, t]</tex> , are approximated by signals in <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>(L)_{2}^{1}(- infty, t]</tex> , the one-dimensional subspace of <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>(L)_{2}(- infty, t]</tex> spanned by the first function from the set of reversed time Laguerre functions. A system mapping <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>(L)_{2}(- infty, t]</tex> into itself is associated with a system mapping <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>(L)_{2}^{1}(- infty t]</tex> into itself; the latter system is characterized by a gain-exponential describing function. This type of describing function is developed as an analysis tool for studying the transient response of a large class of nonlinear feedback systems. The contraction-mapping fixed-point theorem is used to develop conditions for the existence of a solution prior to the use of the exponential describing function to obtain an approximate solution." @default.
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- W1990335891 date "1966-07-01" @default.
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- W1990335891 title "Exponential describing function in the analysis of nonlinear systems" @default.
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