Now showing items 81-85 of 85
Dissipation Induced Instabilities
The main goal of this paper is to prove that if the energy- momentum (or energy-Casimir) method predicts formal instability of a relative equilibrium in a Hamiltonian system with symmetry, then with the addition of ...
Computational Micromagnetics for Magnetostrictive Actuators
Computational micromagnetics plays an important role in design and control of magnetostrictive actuators. A systematic approach to calculate magnetic dynamics and magnetostriction is presented. A finite difference method ...
Motion Control of Drift-Free, Left-Invariant Systems on Lie Groups
In this paper we address the constructive controllability problem for drift free, left-invariant systems on finite-dimensional Lie groups with fewer controls than state dimension. We consider small (e) amplitude, low-frequency, ...
Modeling of Impact on a Flexible Beam
We consider the problem of modeling dynamical effects of impact of an elastic body on a flexible beam. We derive a nonlinear integral equation by using the Hertz law of impact in conjunction with the beam equation. This ...
High-Order Averaging on Lie Groups and Control of an Autonomous Underwater Vehicle
In this paper we extend our earlier results on the use of periodic forcing and averaging to solve the constructive controllability problem for drift-free left-invariant systems on Lie groups with fewer controls than state ...