1,430 research outputs found
iForgot: a model of forgetting in robotic memories
Much effort has focused in recent years on developing more life-like robots. In this paper we propose a model of memory for robots, based on human digital memories, though our model incorporates an element of forgetting to ensure that the robotic memory appears more human and therefore can address some of the challenges for human-robot interaction
Exact Solution of an One Dimensional Deterministic Sandpile Model
Using the transfer matrix method, we give the exact solution of a
deterministic sandpile model for arbitrary , where is the size of a
single toppling. The one- and two-point functions are given in term of the
eigenvalues of an transfer matrix. All the n-point functions can
be found in the same way. Application of this method to a more general class of
models is discussed. We also present a quantitative description of the limit
cycle (attractor) as a multifractal.Comment: need RevTeX; to appear in Physical Review E January 6, (1995
Statistical Modeling of Wave Chaotic Transport and Tunneling
This thesis treats two general problem areas in the field of wave chaos.
The first problem area that we address concerns short wavelength tunneling
from a classically confined region in which the classical orbits are chaotic. We de-
velop a quantitative theory for the statistics of energy level splittings for symmetric
chaotic wells separated by a tunneling barrier. Our theory is based on the ran-
dom plane wave hypothesis. While the fluctuation statistics are very different for
chaotic and non-chaotic well dynamics, we show that the mean splittings of differ-
ently shaped wells, including integrable and chaotic wells, are the same if their well
areas and barrier parameters are the same. We also consider the case of tunneling
from a single well into a region with outgoing quantum waves.
Our second problem area concerns the statistical properties of the impedance
matrix (related to the scattering matrix) describing the input/output properties of
waves in cavities in which ray trajectories that are regular and chaotic coexist (i.e.,
`mixed' systems). The impedance can be written as a summation over eigenmodes
where the eigenmodes can typically be classified as either regular or chaotic. By
appropriate characterizations of regular and chaotic contributions, we obtain statis-
tical predictions for the impedance. We then test these predictions by comparison
with numerical calculations for a specific cavity shape, obtaining good agreement
Frequency domain state-space system identification
An algorithm for identifying state-space models from frequency response data of linear systems is presented. A matrix-fraction description of the transfer function is employed to curve-fit the frequency response data, using the least-squares method. The parameters of the matrix-fraction representation are then used to construct the Markov parameters of the system. Finally, state-space models are obtained through the Eigensystem Realization Algorithm using Markov parameters. The main advantage of this approach is that the curve-fitting and the Markov parameter construction are linear problems which avoid the difficulties of nonlinear optimization of other approaches. Another advantage is that it avoids windowing distortions associated with other frequency domain methods
Optimal active vibration absorber: Design and experimental results
An optimal active vibration absorber can provide guaranteed closed-loop stability and control for large flexible space structures with collocated sensors/actuators. The active vibration absorber is a second-order dynamic system which is designed to suppress any unwanted structural vibration. This can be designed with minimum knowledge of the controlled system. Two methods for optimizing the active vibration absorber parameters are illustrated: minimum resonant amplitude and frequency matched active controllers. The Controls-Structures Interaction Phase-1 Evolutionary Model at NASA LaRC is used to demonstrate the effectiveness of the active vibration absorber for vibration suppression. Performance is compared numerically and experimentally using acceleration feedback
Heavy-tailed distributions in fatal traffic accidents: role of human activities
Human activities can play a crucial role in the statistical properties of
observables in many complex systems such as social, technological and economic
systems. We demonstrate this by looking into the heavy-tailed distributions of
observables in fatal plane and car accidents. Their origin is examined and can
be understood as stochastic processes that are related to human activities.
Simple mathematical models are proposed to illustrate such processes and
compared with empirical results obtained from existing databanks.Comment: 10 pages, 5 figure
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