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Introduction: Why Impulses?

  • Alexander B. KurzhanskiEmail author
  • Alexander N. Daryin
Chapter
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 468)

Abstract

In this introductory chapter, we discuss the motivations for using impulse controls. As a mathematical justification of impulses, we present a simple variational problem that has solution only in the form of a delta function. We further consider the issue of control for a physical system that results in the same kind of variational problem, thus indicating that impulse controls do arise in real-world applications.

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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2020

Authors and Affiliations

  • Alexander B. Kurzhanski
    • 1
    Email author
  • Alexander N. Daryin
    • 2
  1. 1.Faculty of Computational Mathematics and CyberneticsLomonosov Moscow State UniversityMoscowRussia
  2. 2.Google ResearchZürichSwitzerland

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