10,288 research outputs found
Biomimetic Algorithms for Coordinated Motion: Theory and Implementation
Drawing inspiration from flight behavior in biological settings (e.g.
territorial battles in dragonflies, and flocking in starlings), this paper
demonstrates two strategies for coverage and flocking. Using earlier
theoretical studies on mutual motion camouflage, an appropriate steering
control law for area coverage has been implemented in a laboratory test-bed
equipped with wheeled mobile robots and a Vicon high speed motion capture
system. The same test-bed is also used to demonstrate another strategy (based
on local information), termed topological velocity alignment, which serves to
make agents move in the same direction. The present work illustrates the
applicability of biological inspiration in the design of multi-agent robotic
collectives
Path-integral action of a particle in the noncommutative phase-space
In this paper we construct a path integral formulation of quantum mechanics
on noncommutative phase-space. We first map the system to an equivalent system
on the noncommutative plane. Then by applying the formalism of representing a
quantum system in the space of Hilbert-Schmidt operators acting on
noncommutative configuration space, the path integral action of a particle is
derived. It is observed that the action has a similar form to that of a
particle in a magnetic field in the noncommutative plane. From this action the
energy spectrum is obtained for the free particle and the harmonic oscillator
potential. We also show that the nonlocal nature (in time) of the action yields
a second class constrained system from which the noncommutative Heisenberg
algebra can be recovered.Comment: 9 pages Late
- …