Generalized Duality Theory. The Increasing and Decreasing Lagrangian Scales

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


The problems of optimal impulse control under state constraints may be posed in different functional spaces leading to solutions of dual problems, which are presented accordingly in terms of respective conjugate spaces. These arrays of problems form a scale discussed in the present chapter. A similar situation arises in the problem of dynamic state estimation. In this section, we consider stationary systems.


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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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