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- W2104302136 abstract "The problem of linear input-output (i/o) equivalence of meromorphic nonlinear control systems, described by implicit higher order difference equations, is studied. It is proved that any system is linearly i/o equivalent to a row-reduced form. The constructive algorithm is given for finding the required transformation. The latter amounts to 1) multiply the set of i/o equations <formula formulatype=inline xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex Notation=TeX>$varphi=0$</tex></formula> from left by a unimodular matrix <formula formulatype=inline xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex Notation=TeX>$A(delta)$</tex> </formula> , whose entries are non-commutative polynomials in the forward-shift operator <formula formulatype=inline xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex Notation=TeX>$delta$</tex> </formula> , and 2) define certain multiplicative subset of the difference ring of analytic functions which introduces some inequations that should be satisfied." @default.
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- W2104302136 date "2011-06-01" @default.
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- W2104302136 title "Linear Input-Output Equivalence and Row Reducedness of Discrete-Time Nonlinear Systems" @default.
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- W2104302136 doi "https://doi.org/10.1109/tac.2011.2112430" @default.
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