Second-Order Runge-Kutta Approximations in Control Constrained Optimal Control

نویسندگان

  • Asen L. Dontchev
  • William W. Hager
  • Vladimir M. Veliov
چکیده

In this paper, we analyze second-order Runge–Kutta approximations to a nonlinear optimal control problem with control constraints. If the optimal control has a derivative of bounded variation and a coercivity condition holds, we show that for a special class of Runge–Kutta schemes, the error in the discrete approximating control is O(h2) where h is the mesh spacing.

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عنوان ژورنال:
  • SIAM J. Numerical Analysis

دوره 38  شماره 

صفحات  -

تاریخ انتشار 2000