P
Peter E. Crouch
Researcher at Arizona State University
Publications - 90
Citations - 2141
Peter E. Crouch is an academic researcher from Arizona State University. The author has contributed to research in topics: Lie group & Nonlinear system. The author has an hindex of 21, co-authored 90 publications receiving 2044 citations. Previous affiliations of Peter E. Crouch include University of Illinois at Urbana–Champaign & University of Hawaii at Manoa.
Papers
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Numerical integration of ordinary differential equations on manifolds
TL;DR: It is shown that two classes of single-step and multistep algorithms can be posed and analyzed theoretically, using the concept of “freezing” the coefficients of differential operators obtained from the defining vector field.
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The dynamic interpolation problem: On Riemannian manifolds, Lie groups, and symmetric spaces
Peter E. Crouch,F. Silva Leite +1 more
TL;DR: In this paper, the authors consider the dynamic interpolation problem for nonlinear control systems modeled by second-order differential equations whose configuration space is a Riemannian manifold, and they consider the situation where the trajectory is twice continuously differentiable and the Lagrangian in the optimization problem is given by the norm squared acceleration along the trajectory.
Book
Variational and Hamiltonian Control Systems
TL;DR: The Hamiltonian relaization problem for variational and adjoint variational systems was studied in this article. But the authors focused on the minimality of the prolongation and Hamiltonian extension.
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Splines of class Ck on non-euclidean spaces
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Nonholonomic Control Systems on Riemannian Manifolds
Anthony M. Bloch,Peter E. Crouch +1 more
TL;DR: In this article, a general formulation of nonholonomic control systems on a Riemannian manifold modeled by second-order differential equations and using the unique RiemANNian connection defined by the metric is given.