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2 - Preliminaries

Published online by Cambridge University Press:  17 January 2022

Alejandro D. Domínguez-García
Affiliation:
University of Illinois, Urbana-Champaign
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Summary

This chapter starts by reviewing important concepts from probability theory and stochastic processes. Subsequent chapters on probabilistic input and structural uncertainty make heavy use of random vectors and vector-valued stochastic process, so the reader should be familiar with the material included on these concepts. Next, the chapter provides a review of set-theoretic notions. The material on sets in Euclidean space included in this part is key to understanding the set-theoretic approach to input uncertainty modeling. The chapter concludes with a review of several fundamental concepts from the theory of discrete- and continuous-time linear dynamical systems.

Type
Chapter
Information
Large-Scale System Analysis Under Uncertainty
With Electric Power Applications
, pp. 16 - 53
Publisher: Cambridge University Press
Print publication year: 2022

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  • Preliminaries
  • Alejandro D. Domínguez-García, University of Illinois, Urbana-Champaign
  • Book: Large-Scale System Analysis Under Uncertainty
  • Online publication: 17 January 2022
  • Chapter DOI: https://doi.org/10.1017/9781108123853.004
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  • Preliminaries
  • Alejandro D. Domínguez-García, University of Illinois, Urbana-Champaign
  • Book: Large-Scale System Analysis Under Uncertainty
  • Online publication: 17 January 2022
  • Chapter DOI: https://doi.org/10.1017/9781108123853.004
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Preliminaries
  • Alejandro D. Domínguez-García, University of Illinois, Urbana-Champaign
  • Book: Large-Scale System Analysis Under Uncertainty
  • Online publication: 17 January 2022
  • Chapter DOI: https://doi.org/10.1017/9781108123853.004
Available formats
×