32 citations · 33 across the 3 of their papers we have counts for
3 papers
A variational problem on Stiefel manifolds
Anthony M. Bloch, Peter E. Crouch, Amit K. Sanyal
In their paper on discrete analogues of some classical systems such as the rigid body and the geodesic flow on an ellipsoid, Moser and Veselov introduced their analysis in the gene…
Characterization of gradient control systems
Jorge Cortes, Arjan van der Schaft, Peter E. Crouch
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 s…
An Optimal Control Formulation for Inviscid Incompressible Ideal Fluid Flow
A. M. Bloch, P. E. Crouch, D. D. Holm +1
In this paper we consider the Hamiltonian formulation of the equations of incompressible ideal fluid flow from the point of view of optimal control theory. The equations are compar…