We consider the fundamental matrix solution associated to piecewise smooth differential systems of Filippov type, in which the vector field varies discontinuously as solution trajectories reach one or more surfaces. We review the cases of transversal intersection and of sliding motion on one surface. We also consider the case when sliding motion takes place on the intersection of two or more su...

This chapter surveys the fundamental forces that drive the formation and size of cities. We discuss the different types of agglomeration economies generated by a dense web of activities, with special emphasis on the benefits associated with the clustering of highly skilled workers. The distribution of activities within cities results from the trade-off between commuting and housing costs. We sh...

Reliable prediction of cutting forces is essential for micromilling. In this paper, a fuzzy cutting force modelling method based on subtractive clustering method filters the noise and estimates the instantaneous cutting forces using observations acquired by sensors during cutting experiments. In the experimental case study, four data sets of micromilling cutting force are used. Each data set is...

A new theory of the motion of Phobos – the moon of Mars – is created. The accuracy of this theory is to within one meter of the mean motion of Phobos over one year which is the best result obtained so far for the analytical approach. The perturbational analysis is of main interest. The elements of the physical interactions which are the most essential for the motion of Phobos are specified. The...

We consider the fundamental matrix solution associated to piecewise smooth differential systems of Filippov type, in which the vector field varies discontinuously as solution trajectories reach one or more surfaces. We review the cases of transversal intersection and of sliding motion on one surface. We also consider the case when sliding motion takes place on the intersection of two or more su...

workspace analysis is one of the most important issues in the robotic parallel manipulator design. ‎however, ‎the unidirectional constraint imposed by cables causes this analysis more challenging in the cabledriven redundant parallel manipulators. controllable workspace is one of the general workspace in the cabledriven redundant parallel manipulators due to the dependency on geometry parameter...