The Segway, which is a popular vehicle nowadays, is an uncertain nonlinear system and has an unknown time-varying control coefficient. Thus, we should consider the unknown time-varying control coefficient and model uncertainties to design the controller. Motivated by this observation, we propose a robust control for the Segway with unknown control coefficient and model uncertainties. To deal wi...

It is explained how the localization technique introduced by the author in [19] leads to a useful reformulation of the multivariate moment problem in terms of extension of positive semidefinite linear functionals to positive semidefinite linear functionals on the localization of R[x] at p = ∏n i=1(1 + x 2 i ) or p ′ = ∏n−1 i=1 (1 + x 2 i ). It is explained how this reformulation can be exploite...

Richard E. Snow, working from his new aptitude theory, advocated a multidimensional approach to validating the construct of academic achievement. This report briefly describes Snow’s recommended approach and then summarizes new evidence from the present studies in terms of three related themes: (a) multidimensionality of science achievement, (b) transaction between achievement and situations, a...

In this correspondence, Nussbaum gains are introduced in the backstepping design to obtain adaptive controllers for systems with unknown high-frequency gain. Two kinds of modified backstepping control design schemes are developed. It is shown that both schemes can give asymptotic tracking.

a recently published paper [t. došlić, this journal 3 (2012) 25-34] considers the zagrebindices of benzenoid systems, and points out their low discriminativity. we show thatanalogous results hold for a variety of vertex-degree-based molecular structure descriptorsthat are being studied in contemporary mathematical chemistry. we also show that theseresults are straightforwardly obtained by using...

The shaping of international order, and the place of concepts such as law and community within that order, has emerged as one of the most pressing issues in contemporary legal and political thought. This Essay examines three recent theses, each of which attempts to locate a public philosophy appropriate to the emerging new world order. Part I of this Essay takes a look at these theses: the orth...