# PolyChaos.jl - A Julia Package for Polynomial Chaos in Systems and Control

@article{Mhlpfordt2020PolyChaosjlA, title={PolyChaos.jl - A Julia Package for Polynomial Chaos in Systems and Control}, author={Tillmann M{\"u}hlpfordt and Frederik Zahn and Veit Hagenmeyer and Timm Faulwasser}, journal={ArXiv}, year={2020}, volume={abs/2004.03970} }

## 5 Citations

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

- Mathematics2022 American Control Conference (ACC)
- 2022

This paper presents a novel approach to robustness analysis based on quadratic performance metrics of uncertain time-varying systems. The considered time-varying systems are assumed to be linear and…

### General polynomial chaos in the current–voltage formulation of the optimal power flow problem

- EngineeringElectric Power Systems Research
- 2022

### Probabilistic Robustness Analysis of Uncertain LTV Systems in Linear Fractional Representation

- MathematicsIEEE Control Systems Letters
- 2021

This letter quantifies the effect of random model uncertainty on finite horizon linear time-varying (LTV) systems and proposes the projection of uncertain systems in linear fractional representation (LFR), which can have computational benefits.

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Much of the work of Golub and his collaborators uses techniques of linear algebra to deal with problems in analysis, or employs tools from analysis to solve problems arising in linear algebra.…

### THE INTERPLAY BETWEEN CLASSICAL ANALYSIS AND ( NUMERICAL ) LINEAR ALGEBRA — A TRIBUTE TO GENE

- Mathematics
- 2002

Much of the work of Golub and his collaborators uses techniques of linear algebra to deal with problems in analysis, or employs tools from analysis to solve problems arising in linear algebra.…