On normality of lagrange multipliers for state constrained optimal control problems

@article{Malanowski2001OnNO,
  title={On normality of lagrange multipliers for state constrained optimal control problems},
  author={K. Malanowski},
  journal={2001 European Control Conference (ECC)},
  year={2001},
  pages={254-259}
}
  • K. Malanowski
  • Published 2001 in 2001 European Control Conference (ECC)
An optimal control problem for nonlinear ODEs, subject to mixed control-state and pure state constraints is considered. Sufficient conditions are formulated, under which there exist unique normal Lagrange multipliers and they are given by regular functions. These conditions include pointwise linear independence of gradients of α-active constraints and controllability of the linearized state equation. 
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