11 citations · 25 across the 8 of their papers we have counts for
4 papers · 1 filter
Approximations of the Reproducing Kernel Hilbert Space (RKHS) Embedding Method over Manifolds
Jia Guo, Sai Tej Paruchuri, Andrew J. Kurdila
The reproducing kernel Hilbert space (RKHS) embedding method is a recently introduced estimation approach that seeks to identify the unknown or uncertain function in the governing…
RKHS Embedding for Estimating Nonlinear Piezoelectric Systems
Sai Tej Paruchuri, Jia Guo, Andrew J. Kurdila
Nonlinearities in piezoelectric systems can arise from internal factors such as nonlinear constitutive laws or external factors like realizations of boundary conditions. It can be…
Partial Persistence of Excitation in RKHS Embedded Adaptive Estimation
Jia Guo, Sai Tej Paruchuri, Andrew J. Kurdila
In this paper, an adaptive non-parametric method is proposed to estimate the scalar-valued nonlinear function that appears in uncertain systems governed by ordinary differential eq…
Persistence of Excitation in Reproducing Kernel Hilbert Spaces, Positive Limit Sets, and Smooth Manifolds
Andrew J. Kurdila, Jia Guo, Sai Tej Paruchuri +1
This paper studies the relationship between the positive limit sets of continuous semiflows and the newly introduced definition of persistently excited (PE) sets and associated sub…