Characterization of gradient control systems

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We investigate necessary and sufficient conditions under which a general nonlinear affine control system with outputs can be written as a gradient control system corresponding to some pseudo-Riemannian metric defined on the state space. The results rely on a suitable notion of compatibility of the system with respect to a given affine connection, and on the output behavior of the prolonged system and the gradient extension. The symmetric product associated with an affine connection plays a key role in the discussion.
21 pages, no figures

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Optimization and Control, Differential Geometry, 93C10; 93B29; 53B05; 93B15

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http://salesiana.dossiersoluciones.com/handle/123456789/66937

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303371
 http://arxiv.org/abs/math/0303371

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arXiv