@inproceedings{89b42a877e4647edb719cdef564f39fc,
title = "Conjugate unscented transformation based approach to compute higher order state transition matrix for nonlinear dynamic systems: Applications to uncertainty propagation",
abstract = "In this paper, Conjugated Unscented Transformation (CUT) based approach is presented to compute higher order state transition matrices in a derivative free manner and a computationally attractive manner. The proposed approach is non-intrusive in nature and is similar to stochastic collocation methods. The connection between stochastic collocation methods, geometric series methods and the conventional higher order state transition matrix approach are discussed. The computed state transition matrices are valid over the desired domain represented by a probability density function rather than valid along a single trajectory of a dynamical system. Benchmark problems corresponding to uncertainty propagation are considered to demonstrate the numerical efficiency and accuracy of the proposed ideas.",
author = "Taewook Lee and Puneet Singla and Manoranjan Majji",
note = "Funding Information: This material is based upon the work jointly supported by AFOSR grants FA9550-15-1-0313 and FA9550-17-1-0088. Publisher Copyright: {\textcopyright} 2018 Univelt Inc. All rights reserved.; AAS/AIAA Astrodynamics Specialist Conference, 2017 ; Conference date: 20-08-2017 Through 24-08-2017",
year = "2018",
language = "English (US)",
isbn = "9780877036456",
series = "Advances in the Astronautical Sciences",
publisher = "Univelt Inc.",
pages = "2913--2936",
editor = "Seago, {John H.} and Strange, {Nathan J.} and Scheeres, {Daniel J.} and Parker, {Jeffrey S.}",
booktitle = "ASTRODYNAMICS 2017",
address = "United States",
}