On State Constraint Representations and Mesh-Dependent Gradient Projection Convergence Rates for Optimal Control Problems

@article{Dunn2000OnSC,
  title={On State Constraint Representations and Mesh-Dependent Gradient Projection Convergence Rates for Optimal Control Problems},
  author={J. C. Dunn},
  journal={SIAM J. Control and Optimization},
  year={2000},
  volume={39},
  pages={1082-1111}
}
Two distinct nonlinear programming formulations are investigated for ODE optimal control problems with pointwise state and control constraints. The first formulation treats the differential equations of state as an equality constraint in the conventional manner. The second formulation employs a different equality constraint entailing the integrated state transition map. Related convergence rate estimates are developed for augmented gradient projection methods and discrete-time approximations to… CONTINUE READING

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