We prove that a nonlinear control system with periodic dynamics in the generalized triangular form (GTF) which is affected by external disturbances can be uniformly input-tostate stabilized by means of a periodic feedback and the gain can be chosen arbitrarily small in some sense. This allows us to stabilize such a system in presence of unmeasured dynamic uncertainties.

We address the task of localizing objects from a given object class in an image. The image is represented as a collection of “visual words” at interest points. The generative template of features (GTF) model defines a distribution over visual words and their spatial locations for each part of the object (Sudderth et al., 2005; Fergus et al., 2005). We show how to derive pose-space prediction me...

We consider a generalized riffle shuffle on the colored permutation group Gp,n and derive determinantal formula for probability of finding descents at given positions, proof which is based bijection between set shuffles in question that non-intersecting lattice paths.