In this paper, output tracking control of a helicopter based unmanned aerial vehicle model is investigated. First, based on Newton-Euler equations, a dynamical model is derived by considering the helicopter as a rigid body upon which a set of forces and moments act. Second, we show that the model cannot be converted into a controllable linear system via exact state space linearization. In parti...

In this paper we investigate the unbounded Kasparov product between a differentiable module and an cycle of very general kind that includes all modules hence also spectral triples. Our assumptions on are weak do in particular not require it satisfies any smooth projectivity conditions. The algebras work with furthermore required to possess approximate identity. lack adequate condition our entai...

in this article we study two different generalizations of von neumann regularity, namely strong topological regularity and weak regularity, in the banach algebra context. we show that both are hereditary properties and under certain assumptions, weak regularity implies strong topological regularity. then we consider strong topological regularity of certain concrete algebras. moreover we obtain ...

we prove that the limit of a sequence of pettis integrable bounded scalarly measurable weak random elements, of finite weak norm, with values in the dual of a non-separable banach space is pettis integrable. then we provide basic properties for the pettis conditional expectation, and prove that it is continuous. calculus of pettis conditional expectations in general is very different from the c...

Given integers i, j, k, L,M , we establish a new double bounded q−series identity from which the three parameter (i, j, k) key identity of Alladi-Andrews-Gordon for Göllnitz’s (big) theorem follows if L,M → ∞. When L = M , the identity yields a strong refinement of Göllnitz’s theorem with a bound on the parts given by L. This is the first time a bounded version of Göllnitz’s (big) theorem has b...