In this paper, we present a generalization for the supertwisting algorithm for perturbed chains of integrators of arbitrary order. This Higher Order Supertwisting (HOST) controller, which extends the approach of [1], is either continuous or quasi-continuous and its design is derived from a first result obtained for pure chains of integrators, the latter relying on a geometric condition introduc...

Given an associative algebra A, and the category, C, of its finite dimensional modules, additional structures on the algebra A induce corresponding ones on the category C. Thus, the structure of a rigid quasi-tensor (braided monoidal) category on RepA is induced by an algebra homomorphism A → A ⊗ A (comultiplication), coassociative up to conjugation by Φ ∈ A (associativity constraint) and cocom...

Self equivalences of classifying spaces of p-local compact groups are well understood by means of the algebraic structure that gives rise to them, but explicit descriptions are lacking. In this paper we use Robinson’s construction of an amalgam G, realising a given fusion system, to produce a split epimorphism from the outer automorphism group of G to the group of homotopy classes of self homot...

the research aims at studying the effects of mycorrhizal fungi (glomus fasciculatum, g. mosseae and mixed composition) on growth, photosynthesis and nutrient absorption of ziziphus spina-christi in mehran greenhouse, ilam province. the result showed that colonization rate in mixed treatment was more than pure treatment of g. fasciculatum and g. mosseae. also, root fresh weight, stomatal conduct...

We are concerned with the following problem. Suppose ? and are closed permutation groups on innnite sets C and W and : ? ?! is a non-split, continuous epimorphism with nite kernel. Describe (for xed) the possibilities for. Here, we consider the case where arises from a nite cover : C ?! W. We give reasonably general conditions on the permutation structure hW; i which allow us to prove that thes...

We show that the fundamental groups of any two closed irreducible nongeometric graph manifolds are quasi-isometric. We also classify the quasi-isometry types of fundamental groups of graph manifolds with boundary in terms of certain finite twocolored graphs. A corollary is the quasi-isometric classification of Artin groups whose presentation graphs are trees. In particular, any two right-angled...

In this note, we show that any epimorphism originating at a von Neumann regular ring (not necessary commutative) is universal localization. As an application, prove the Telescope Conjecture holds for unbounded derived categories of rings commutative).

We investigate whether a generic pure state on a multipartite quantum system can be the unique asymptotic steady state of locality-constrained purely dissipative Markovian dynamics. In the tripartite setting, we show that the problem is equivalent to characterizing the solution space of a set of linear equations and establish that the set of pure states obeying the above property has either mea...