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Optimization of Measure-Driven Hybrid Systems

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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.

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Authors and Affiliations

  1. Institute for System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia

    Elena Goncharova & Maxim Staritsyn

Authors
  1. Elena Goncharova
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  2. Maxim Staritsyn
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Corresponding author

Correspondence to Elena Goncharova.

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Communicated by F.L. Chernousko.

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Goncharova, E., Staritsyn, M. Optimization of Measure-Driven Hybrid Systems. J Optim Theory Appl 153, 139–156 (2012). https://doi.org/10.1007/s10957-011-9944-x

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  • DOI: https://doi.org/10.1007/s10957-011-9944-x

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