Now showing items 81-85 of 85
Optimal Control of a Rigid Body with Two Oscillators
This paper is concerned with the exploration of reduction and explicit solvability of optimal control problems on principal bundles with connections from a Hamiltonian point of view. The particular mechanical system we ...
The Berry-Hannay Phase of the Equal-Sided, Spring-Jointed, Four-Bar Mechanism: A Detailed Story
In this work we apply the moving systems approach developed by Marsden, Montgomery, and Ratiu to a free-floating, equal-sided, spring-jointed, four-bar mechanism that is being slowly rotated about its central axis and ...
Stability Analysis of a Rigid Body with a Flexible Attachment Using the Energy-Casimir Method.
We consider a system consisting of a rigid body to which a linear extensible shear beam is attached. For such a system the Energy- Casimir method can be used to investigate the stability of the equilibria. In the case we ...
Formation Dynamics under a Class of Control Laws
A system of two earth satellites is analyzed as a controlled mechanical system. The orbit of an earth satellite can be represented by a point inthe vector space of ordered pairs of angular momentum and Laplace vectors. ...
Analysis of a high-resolution optical wave-front control system
We consider the formulation and analysis of a problem of automaticcontrol: correcting for the distortion induced in an optical wave frontdue to propagation through a turbulent atmosphere. It has recentlybeen demonstrated ...