# Inversion in indirect optimal control

09 03 Category : Optimal control | All

**Authors**: F. Chaplais, N. Petit 7th European Control Conference, Cambridge, 2003

In this paper we explain how to use inversion (as defined in nonlinear control theory) for indirect optimal control. Given the relative degree r, it is possible to recover r adjoint states and thus to simplify the problem. Explicit proof is given and relies on the triangular structure of the underlying normal form. An example from the literature is treated in the last section.

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**BibTeX**:

@Proceedings{,

author = {F. Chaplais, N. Petit},

editor = {},

title = {Inversion in indirect optimal control},

booktitle = {7th European Control Conference},

volume = {},

publisher = {},

address = {Cambridge},

pages = {},

year = {2003},

abstract = {In this paper we explain how to use inversion (as defined in nonlinear control theory) for indirect optimal control. Given the relative degree r, it is possible to recover r adjoint states and thus to simplify the problem. Explicit proof is given and relies on the triangular structure of the underlying normal form. An example from the literature is treated in the last section.},

keywords = {}}