English

Bang--bang trajectories with a double switching time: sufficient strong local optimality conditions

Optimization and Control 2011-03-07 v2 Systems and Control

Abstract

This paper gives sufficient conditions for a class of bang-bang extremals with multiple switches to be locally optimal in the strong topology. The conditions are the natural generalizations of the ones considered in previous papers for more specific cases. We require both the strict bang-bang Legendre condition, and the second order conditions for the finite dimensional problem obtained by moving the switching times of the reference trajectory.

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Cite

@article{arxiv.1010.1149,
  title  = {Bang--bang trajectories with a double switching time: sufficient strong local optimality conditions},
  author = {Laura Poggiolini and Marco Spadini},
  journal= {arXiv preprint arXiv:1010.1149},
  year   = {2011}
}

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43 pages