Title :
Aggregative Modeling of Nonlinear Systems
Author :
Wachel, Pawel ; Sliwinski, Przemyslaw
Author_Institution :
Dept. of Control Syst. & Mechatron., Wroclaw Univ. of Technol., Wrocław, Poland
Abstract :
In the note we examine the recently introduced aggregation modeling technique in a system identification context. First, we show that its finite sample size properties are preserved for any nonlinear SISO system with finite memory. Then, using as an example the peripheral auditory model we demonstrate that it allows to find effective Volterra approximations of LNL systems.
Keywords :
Volterra equations; convex programming; nonlinear dynamical systems; Volterra approximations; aggregative modeling; finite memory; finite sample size properties; nonlinear SISO system; nonlinear systems; peripheral auditory model; system identification context; Dictionaries; Heuristic algorithms; Kernel; Mathematical model; Nonlinear systems; Signal processing algorithms; Vectors; Convex optimization; nonlinear dynamic system; statistic aggregation; system identification;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2015.2405613