Continuity of Chen-Fliess Series for Applications in System Identification and Machine Learning

24 Feb 2020 Dahmen Rafael Gray W. Steven Schmeding Alexander

Model continuity plays an important role in applications like system identification, adaptive control, and machine learning. This paper provides sufficient conditions under which input-output systems represented by locally convergent Chen-Fliess series are jointly continuous with respect to their generating series and as operators mapping a ball in an $L_p$-space to a ball in an $L_q$-space, where $p$ and $q$ are conjugate exponents... (read more)

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  • OPTIMIZATION AND CONTROL
  • FUNCTIONAL ANALYSIS