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- W2104939180 abstract "This paper considers quadratic-in-the-state representations, which consist of state equations that are at most quadratic with respect to the states, as representations for a broad class of nonlinear systems. A necessary and sufficient condition is shown for existence of a quadratic-in-the-state representation that has the identical input-output relation with a given nonlinear system. That condition is characterized by the algebraic structure of the observation space of the given system and is so mild that many types of nonlinear systems have a quadratic-in-the-state representation. The quadratic-in-the-state representation is expected to be useful as a general model structure in identification of unknown nonlinear systems." @default.
- W2104939180 created "2016-06-24" @default.
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- W2104939180 date "2002-01-01" @default.
- W2104939180 modified "2023-09-23" @default.
- W2104939180 title "Algebraic characterization of system immersibility into quadratic-in-the-state representation" @default.
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- W2104939180 doi "https://doi.org/10.1109/acc.2002.1024480" @default.
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