Title: Geometric first-order controllability conditions for affine connection control systems
Author(s): Ron M. Hirschorn and Andrew D. Lewis
Detail: Proceedings of 40th IEEE Conference on Decision and Control, December 2001, pages 4216-4221
Conference proceedings version: Download

Original manuscript: 2001/03/02
Manuscript last revised: 2002/07/08

Strong conditions, involving first-order symmetric products, are given for controllability of affine connection control systems. The conditions generalise, at the first-order level, earlier conditions for affine connection control systems, and involve the use of a vector-valued quadratic form as the essential ingredient in the statement of the results.

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Andrew D. Lewis (andrew at mast.queensu.ca)