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20172022
most citedPersistence of Excitation in Reproducing Kernel Hilbert Spaces, Positive Limit Sets, and Smooth Manifolds

7 citations · 14 across the 8 of their papers we have counts for

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math.OC20204 cited

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…

math.OC2020

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…

math.OC2020

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…

math.OC20197 cited

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…

math.OC2017

Online Estimation and Adaptive Control for a Class of History Dependent Functional Differential Equations

Shirin Dadashi, Parag Bobade, Andrew Kurdila

This paper presents sufficient conditions for the convergence of online estimation methods and the stability of adaptive control strategies for a class of history dependent, functi…