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• W2140445906 abstract "Fractional representation methods for finite-dimensional linear time-invariant (FDLTI) systems have been developed in an algebraic framework of principal ideal domains. Generalizations of these methods to nonlinear systems focus on the role of Bezout identities in defining and using such representations. The author examines the role of right coprime fractional representations of a nonlinear system in representing the set of all stable input-output pairs of the system. This notion of coprimeness is equivalent to the usual notion of coprimeness for FDLTI systems. Using coprime fractional representations, the author obtains a characterization of the stability of nonlinear feedback systems and a parameterization of all nonlinear and time-varying stabilizing controllers for linear (possibly time-varying) plants.< <ETX xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>></ETX>" @default.
• W2140445906 created "2016-06-24" @default.
• W2140445906 creator A5091305911 @default.
• W2140445906 date "2003-01-06" @default.
• W2140445906 modified "2023-09-25" @default.
• W2140445906 title "Coprime fractional representations of nonlinear systems" @default.
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• W2140445906 doi "https://doi.org/10.1109/iscas.1988.15438" @default.
• W2140445906 hasPublicationYear "2003" @default.
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