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• W2065975275 abstract "Fliess operators, which are a type of functional series expansion, have been used to describe a broad class of nonlinear input–output maps driven by deterministic inputs. But in most applications, a system's inputs have noise components. This paper has three objectives. The first objective is to show that the notion of a Fliess operator can be generalized to admit a class of L 2-Itô stochastic input processes. The next objective is to show that they converge absolutely over an arbitrarily large but finite time interval when a certain coefficient growth condition is met. However, a significant number of systems fail to meet this condition. Thus, the final objective is to consider an interval of convergence having a random length so that a Fliess operator might converge under less restrictive growth conditions." @default.
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• W2065975275 date "2012-02-07" @default.
• W2065975275 modified "2023-09-27" @default.
• W2065975275 title "On Fliess operators driven by <i>L</i> ₂-Itô processes" @default.
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• W2065975275 doi "https://doi.org/10.1080/17442508.2011.618882" @default.
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