Characterization of Gradient Control Systems
نویسندگان
چکیده
Abstract. 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 pseudoRiemannian metric defined on the state space. The results rely on a suitable notion of compatibility of the systemwith 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.
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عنوان ژورنال:
- SIAM J. Control and Optimization
دوره 44 شماره
صفحات -
تاریخ انتشار 2005