Input Classes for Identification of Bilinear Systems

2006/10/20 by Eduardo D. Sontag, Yuan Wang, Sontag, Eduardo D. +3
Mathematics · #93B07 #93B30 #FOS: Mathematics #Optimization and Control (math.OC) #math.OC #msc:93B07 #msc:93B30

paper · pdf · doi:10.48550/arxiv.math/0610633

arxiv created 2006/10/20 · arxiv updated 2009/12/01

Abstract

This paper asks what classes of input signals are sufficient in order to completely identify the input/output behavior of generic bilinear systems. The main results are that step inputs are not sufficient, nor are single pulses, but the family of all pulses (of a fixed amplitude but varying widths) do suffice for identification.

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