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Optimization of Measure-Driven Hybrid Systems

Author

Listed:
  • Elena Goncharova

    (Siberian Branch of the Russian Academy of Sciences)

  • Maxim Staritsyn

    (Siberian Branch of the Russian Academy of Sciences)

Abstract

We study an optimal control problem for a state-dependent impulse system described by a measure differential equation. A specific time reparameterization technique is developed to reduce the impulsive control problem to the one with bounded controls. Necessary conditions of optimality are obtained by interpreting the Maximum Principle in the reduced problem. An impulsive control improvement scheme is outlined. The results of numeric simulation are presented.

Suggested Citation

  • Elena Goncharova & Maxim Staritsyn, 2012. "Optimization of Measure-Driven Hybrid Systems," Journal of Optimization Theory and Applications, Springer, vol. 153(1), pages 139-156, April.
    • Handle: RePEc:spr:joptap:v:153:y:2012:i:1:d:10.1007_s10957-011-9944-x
    DOI: 10.1007/s10957-011-9944-x
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    Cited by:

    1. Maxim Staritsyn & Stepan Sorokin, 2020. "On feedback strengthening of the maximum principle for measure differential equations," Journal of Global Optimization, Springer, vol. 76(3), pages 587-612, March.
    2. Rachůnková, Irena & Rachůnek, Lukáš & Rontó, András & Rontó, Miklós, 2016. "A constructive approach to boundary value problems with state-dependent impulses," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 726-744.

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