A+ CATEGORY SCIENTIFIC UNIT

Time minimal synthesis with target of codimension one under generic conditions

Volume 32 / 1995

B. Bonnard, M. Pelletier Banach Center Publications 32 (1995), 95-109 DOI: 10.4064/-32-1-95-109

Abstract

We consider the problem of constructing the optimal closed loop control in the time minimal control problem, with terminal constraint belonging to a manifold of codimension one, for systems of the form $v̇ = X + uY$, $|u| ≤ 1$ and $v ∈ R^2$ or $R^3$, under generic assumptions. The analysis is localized near the terminal manifold and is developed to control a class of chemical systems.

Authors

  • B. Bonnard
  • M. Pelletier

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