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  • 2 - Preliminaries

  • Alejandro D. Domínguez-García, University of Illinois, Urbana-Champaign
  • Book:
    Large-Scale System Analysis Under Uncertainty
    Published online:
    17 January 2022
    Print publication:
    17 February 2022, pp 16-53

  • 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.