Gradient realization of nonlinear control systems


Cortés, J. and Schaft, A.J. van der and Crouch, P.E. (2003) Gradient realization of nonlinear control systems. In: 2nd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, April 3-5, 2003, Sevilla, Spain (pp. pp. 73-78).

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Abstract:We investigate necessary and su?cient conditions under which a nonlinear afine 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 afine connection, and on the input-output behavior of the prolonged system and the gradient extension. The symmetric product associated with an afine connection plays a key role in the discussion
Item Type:Conference or Workshop Item
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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