7 citations · 7 across the 1 of their papers we have counts for
8 papers
Analysis of the Faddeev model
Dave Auckly, Lev Kapitanski
In this paper we consider a generalization of the Faddeev model for the maps from a closed three-manifold into the two-sphere. We give a novel representation of smooth -value…
On the lambda-equations for matching control laws
Dave Auckly, Lev Kapitanski
We discuss matching control laws for underactuated systems. We previously showed that this class of matching control laws is completely charactarized by a linear system of first or…
Matching, linear systems, and the ball and beam
Fedor Andreev, David Auckly, Lev Kapitanski +3
A recent approach to the control of underactuated systems is to look for control laws which will induce some specified structure on the closed loop system. This basic idea is used…
Matching and digital control implementation for underactuated systems
F. Andreev, D. Auckly, L. Kapitanski +2
This note describes two problems related to the digital implementation of control laws in the infinite dimensional family of matching control laws, namely state estimation and samp…
Matching control laws for a ball and beam system
F. Andreev, D. Auckly, L. Kapitanski +2
This note describes a method for generating an infinite-dimensional family of nonlinear control laws for underactuated systems. For a ball and beam system, the entire family is fou…
Mathematical Problems in the Control of Underactuated Systems
David Auckly, Lev Kapitanski
In this paper we will discuss problems and techniques related to underactuated systems. We give a mathematical formulation of several problems arising from applications, review som…