In this paper, the conservative Monte Carlo error estimation methods and theory developed in Geyer (1992a) are extended from univariate to multivariate Markov chain applications. A small simulation study demonstrates the feasibility of the proposed estimators.

In order to identify ship collision risk for the security of maritime transportation in a close-quarters situation, novel real-time awareness approach is proposed by developing non-linear velocity obstacle set, QSD-NLVO. More specifically, Quaternion Ship Domain model was introduced into algorithm, and conflict position reasonably defined. By replacing with domain, method can more assess safety...

This paper deals with the attitude tracking control problem of rigid satellite uncertainties disturbances. An adaptive proportional derivative controller (PD) is proposed to deal influence external disturbance in controller. The uncertain disturbances can be estimated through an algorithm and compensated error closed-loop system stability are ensured based on Lyapunov analysis. using representa...

We use the quaternion Kähler reduction technique to study old and new selfdual Einstein metrics of negative scalar curvature with at least a two-dimensional isometry group, and relate the quotient construction to the hyperbolic eigenfunction Ansatz. We focus in particular on the (semi-)quaternion Kähler quotients of (semi-)quaternion Kähler hyperboloids, analysing the completeness and topology,...

—The l 1-norm minimization problem plays an important role in the compressed sensing (CS) theory. We present in this letter an algorithm for solving the problem of l 1 Index Terms—L-norm minimization for quaternion signals by converting it to second-order cone programming. An application example of the proposed algorithm is also given for practical guidelines of perfect recovery of quaternion s...

The paper considers a technique for computation of the inverse kinematic model of the human arm. The approach is based on measurements of the hand position and orientation as well as acceleration and angular rate of the upper arm segment. A quaternion description of orientation is used to avoid singularities in representations with Euler angles. A Kalman filter is designed to integrate sensory ...

Managing software changes and achieving an effective change acceptance decision is one of the crucial factors in ensuring the software project success. Accepting too many changes will cause expense and delay and rejecting the changes may cause customer dissatisfaction. One of the inputs that help in achieving an effective change acceptance decision is by having reliable estimation on the change...

Proper estimation of droplet growth rate plays a crucial role on appropriate prediction of supersonic separators performance for separation of fine droplets from a gas stream. Up to now, all available researches employ empirical or semi-empirical correlations to define the relationship between droplet growth rate (dr/dt) and other operating variables such as temperatures (T and TL), Pressure (P...

Distance metrics facilitate a number of methods for statistical analysis. For statistical mechanical applications, it is useful to be able to compute the distance between two different orientations of a molecule. However, a number of distance metrics for rotation have been employed, and in this study, we consider different distance metrics and their utility in entropy estimation using the k-nea...