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A second-order algorithm for continuous-time nonlinear optimal control problems

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2 Author(s)
Fukushima, M. ; Kyoto University, Kyoto, Japan ; Yamamoto, Y.

A second-order algorithm is presented for the solution of continuous-time nonlinear optimal control problems. The algorithm is an adaptation of the trust region modifications of Newton's method and solves at each iteration a linear-quadratic control problem with an additional constraint. Under some assumptions, the proposed algorithm is shown to possess a global convergence property. A numerical example is presented to illustrate the method.

Published in:

Automatic Control, IEEE Transactions on  (Volume:31 ,  Issue: 7 )

Date of Publication:

Jul 1986

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