On the application of Galerkin projection based polynomial chaos in linear systems and control

LL Evangelisti, H Pfifer - Automatica, 2024 - Elsevier
Abstract Systems of linear ordinary differential equations are examined, subject to real-
random parametric uncertainty. Specifically, the paper considers stability and norm …

Polynomial Chaos Approximation of the Quadratic Performance of Uncertain Time-Varying Linear Systems

LL Evangelisti, H Pfifer - 2022 American Control Conference …, 2022 - ieeexplore.ieee.org
This paper presents a novel approach to robustness analysis based on quadratic
performance metrics of uncertain time-varying systems. The considered time-varying …

[PDF][PDF] Probabilistic Robustness Analysis with Aerospace Applications

LL Evangelisti - 2023 - core.ac.uk
This thesis develops theoretical and computational methods for the robustness analysis of
uncertain systems. The considered systems are linearized and depend rationally on random …

A Polynomial Chaos Approach to Robust Static Output-Feedback Control with Bounded Truncation Error

Y Wan, DE Shen, S Lucia, R Findeisen… - arXiv preprint arXiv …, 2021 - arxiv.org
This article considers the $\mathcal {H} _\infty $ static output-feedback control for linear time-
invariant uncertain systems with polynomial dependence on probabilistic time-invariant …

[PDF][PDF] Computing the Black Scholes equation with uncertain volatility

K Hellmuth, C Klingenberg - ifm.mathematik.uni-wuerzburg.de
In modern financial markets, traders can choose from a large variety of financial derivatives.
This term denotes financial instruments that have a value determined or'derived'by other, so …

[图书][B] Projection schemes for high-dimensional problems in stochastic structural dynamics

L Gao - 2018 - search.proquest.com
The focus of the present thesis is to formulate efficient schemes to solve high-dimensional
stochastic ordinary differential equations (SODEs) encountered in stochastic structural …