351,740 research outputs found
Recent advances on recursive filtering and sliding mode design for networked nonlinear stochastic systems: A survey
Copyright © 2013 Jun Hu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.Some recent advances on the recursive filtering and sliding mode design problems for nonlinear stochastic systems with network-induced phenomena are surveyed. The network-induced phenomena under consideration mainly include missing measurements, fading measurements, signal quantization, probabilistic sensor delays, sensor saturations, randomly occurring nonlinearities, and randomly occurring uncertainties. With respect to these network-induced phenomena, the developments on filtering and sliding mode design problems are systematically reviewed. In particular, concerning the network-induced phenomena, some recent results on the recursive filtering for time-varying nonlinear stochastic systems and sliding mode design for time-invariant nonlinear stochastic systems are given, respectively. Finally, conclusions are proposed and some potential future research works are pointed out.This work was supported in part by the National Natural Science Foundation of China under Grant nos. 61134009, 61329301, 61333012, 61374127 and 11301118, the Engineering and Physical Sciences Research Council (EPSRC) of the UK under Grant no. GR/S27658/01, the Royal Society of the UK, and the Alexander von Humboldt Foundation of Germany
Homogenization of plain weave composites with imperfect microstructure: Part II--Analysis of real-world materials
A two-layer statistically equivalent periodic unit cell is offered to predict
a macroscopic response of plain weave multilayer carbon-carbon textile
composites. Falling-short in describing the most typical geometrical
imperfections of these material systems the original formulation presented in
(Zeman and \v{S}ejnoha, International Journal of Solids and Structures, 41
(2004), pp. 6549--6571) is substantially modified, now allowing for nesting and
mutual shift of individual layers of textile fabric in all three directions.
Yet, the most valuable asset of the present formulation is seen in the
possibility of reflecting the influence of negligible meso-scale porosity
through a system of oblate spheroidal voids introduced in between the two
layers of the unit cell. Numerical predictions of both the effective thermal
conductivities and elastic stiffnesses and their comparison with available
laboratory data and the results derived using the Mori-Tanaka averaging scheme
support credibility of the present approach, about as much as the reliability
of local mechanical properties found from nanoindentation tests performed
directly on the analyzed composite samples.Comment: 28 pages, 14 figure
Scientific Endeavors of A.M. Mathai: An Appraisal on the Occasion of his Eightieth Birthday, April 2015
A.M. Mathai is Emeritus Professor of Mathematics and Statistics at McGill
University, Canada, and Director of the Centre for Mathematical and Statistical
Sciences, India. He has published over 300 research papers and more than 25
books on topics in mathematics, statistics, physics, astrophysics, chemistry,
and biology. He is a Fellow of the Institute of Mathematical Statistics,
National Academy of Sciences of India, President of the Mathematical Society of
India, and a Member of the International Statistical Institute. He is the
founder of the Canadian Journal of Statistics and the Statistical Society of
Canada. He is instrumental in the implementation of the United Nations Basic
Space Science Initiative. The paper is an attempt to capture the broad spectrum
of scientific endeavors of Professor A.M. Mathai at the occasion of his
anniversary.Comment: 21 pages, LaTe
A fractal fragmentation model for rockfalls
The final publication is available at Springer via http://dx.doi.org/10.1007/s10346-016-0773-8The impact-induced rock mass fragmentation in a rockfall is analyzed by comparing the in situ block size distribution (IBSD) of the rock mass detached from the cliff face and the resultant rockfall block size distribution (RBSD) of the rockfall fragments on the slope. The analysis of several inventoried rockfall events suggests that the volumes of the rockfall fragments can be characterized by a power law distribution. We propose the application of a three-parameter rockfall fractal fragmentation model (RFFM) for the transformation of the IBSD into the RBSD. A discrete fracture network model is used to simulate the discontinuity pattern of the detached rock mass and to generate the IBSD. Each block of the IBSD of the detached rock mass is an initiator. A survival rate is included to express the proportion of the unbroken blocks after the impact on the ground surface. The model was calibrated using the volume distribution of a rockfall event in Vilanova de Banat in the Cadí Sierra, Eastern Pyrenees, Spain. The RBSD was obtained directly in the field, by measuring the rock block fragments deposited on the slope. The IBSD and the RBSD were fitted by exponential and power law functions, respectively. The results show that the proposed fractal model can successfully generate the RBSD from the IBSD and indicate the model parameter values for the case study.Peer ReviewedPostprint (author's final draft
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