Linear estimates for trajectories of state-constrained differential inclusions and normality conditions in optimal control

@inproceedings{Bettiol2014LinearEF,
  title={Linear estimates for trajectories of state-constrained differential inclusions and normality conditions in optimal control},
  author={Piernicola Bettiol and Giancarlo Facchi},
  year={2014}
}
Abstract We consider solutions to a differential inclusion x ˙ ∈ F ( x ) constrained to a compact convex set Ω. Here F is a compact, possibly non-convex valued, Lipschitz continuous multifunction, whose convex closure co F satisfies a strict inward pointing condition at every boundary point x ∈ ∂ Ω . Given a reference trajectory x ⁎ ( . ) taking values in an e-neighborhood of Ω, we prove the existence of a second (approximating) trajectory x : [ 0 , T ] ↦ Ω which satisfies the linear estimate… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-2 OF 2 CITATIONS