Title: Feedback-invariant optimal control theory and differential geometry, I. Regular extremals

Authors: A.A. Agrachev, R.V. Gamkrelidze

Journal title: Dynamical and Control Systems

Year: 1997

Volume: 3

Pages: 343-389

Abstract:

Feedback-invariant approach to smooth optimal control problems is considered. A Hamiltonian method of investigating regular extremals is developed, analogous to the differential-geometric method of investigation Riemannian geodesics in terms of the Levi-Civita connection and the curvature tensor.

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