In this paper, the preferred region of design parameters for quasi-normalized equations of single-axis attitude control of rigid spacecraft using pulse-width pulse-frequency modulator (PWPFM) is presented for rest-to-rest maneuvers. Using the quasi-normalized equations for attitude control reduces the system parameters, that is, the moment of inertia, the filter gain, and the maximum torque of ...

Bianchi VIII vacuum solutions to Einstein’s equations are causally geodesically complete to the future, given an appropriate time orientation, and the objective of this article is to analyze the asymptotic behaviour of solutions in this time direction. For the Bianchi class A spacetimes, there is a formulation of the field equations that was presented in an article by Wainwright and Hsu, and we...

In this paper, the problem of estimating the direction of arrival of signals of which some may be perfectly correlated is considered. This method can be applied in the situation that the non-Gaussian independent and coherent signals coexist with unknown Gaussian noise. In this method at first via mappings, the virtual uniform linear array (ULA) and also the shifted versions of this virtual ULA ...

For weak solutions of the incompressible Euler equations, there is energy conservation if the velocity is in the Besov spaceB3 s with s greater than 1/3. B p s consists of functions that are Lip(s) (i.e., Hölder continuous with exponent s) measured in the L norm. Here this result is applied to a velocity field that is Lip(α0) except on a set of co-dimension κ1 on which it is Lip(α1), with unifo...

In this paper, we present a full Newton step feasible interior-pointmethod for circular cone optimization by using Euclidean Jordanalgebra. The search direction is based on the Nesterov-Todd scalingscheme, and only full-Newton step is used at each iteration.Furthermore, we derive the iteration bound that coincides with thecurrently best known iteration bound for small-update methods.

There is a growing body of literature that shows internet search volume on a topic, such as fishing, is a viable measure of salience. Herein, internet search volume for ‘fishing’ and ‘angling’ is used as a measure of public interest in fishing, in particular, recreational fishing. An online tool, Google Insights for Search, which allows one to study internet search terms and their volume since ...

In this paper we use perturbation theory to study the spectral properties and energy decay of two dimensional acoustic ow (cf. Beale[1], Morse & Ingard[10]): tt c 2 = 0 in (0;1), m tt + d t + k = t and x = t on 0 (0;1), @ @ = 0 on 1 (0;1) with initial data (0) = 0; t(0) = 1 in and (0) = 0; t(0) = 1 on 0 where = (0; 1) (0; 1), 0 = f(1; y); 0 < y < 1g, 1 = @ n 0 and is the external normal directi...

This paper introduces a new algorithm to deal with multiobjective combinatorial and continuous problems. The algorithm is an extension of a previous one designed to deal with single objective combinatorial problems. The original purpose of the single objective version was to study in a rigorous way the properties the search graph of a particular problem needs to hold so that a randomized local ...