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Journal of Mathematical Sciences

, Volume 165, Issue 6, pp 654–688 | Cite as

On constrained impulsive control problems

  • A. V. ArutyunovEmail author
  • D. Yu. Karamzin
  • F. L. Pereira
Article

Abstract

This paper considers constrained impulsive control problems for which the authors propose a new mathematical concept of control required for the impulsive framework. These controls can arise in engineering, in particular, in problems of space navigation. We derive necessary extremum conditions in the form of the Pontryagin maximum principle and also study conditions under which the constraint regularity clarifications become weaker. In the proof of the main result, Ekeland’s variational principle is used.

Keywords

Radon Optimal Control Problem Multivalued Mapping Impulsive Control Pontryagin Maximum Principle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  • A. V. Arutyunov
    • 1
    Email author
  • D. Yu. Karamzin
    • 2
  • F. L. Pereira
    • 3
  1. 1.Russian University of People’s FriendshipMoscowRussia
  2. 2.Computational Center of the Russian Academy of SciencesMoscowRussia
  3. 3.University of PortoFEUPPortoPortugal

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