In this paper, a robust nonlinear controller for sensorless interior permanent magnet synchronous motors (IPMSM) is designed to track a desired reference which is computed by using a maximum-torque-per-ampere strategy (MTPA). The proposed controller ensures finite-time convergence of sliding...

In this paper the linear asymptotic mean-square stability of class of diagonally drift-implicit Runge–Kutta schemes (DDISRK) for the weak solution of systems of stochastic differential equations (SDEs) is investigated. We provide explicit structure of the stability matrices of this class of...

In this paper, a discrete predator–prey system is proposed and analyzed. It is assumed that the prey population has a lower critical point, which is also referred to as extinction threshold. Such behavior has been reported for many flowering plants, many fishes, epidemiology, and so on. The...

The Burr type III distribution allows a wider region for the skewness and kurtosis plane, which covers several distributions including: the log-logistic, the Weibull and the Burr type XII distributions. However, outliers may occur in the data set. The robust regression method has been...

Global sensitivity analysis is used to quantify the influence of input variables on a numerical model output. Sobol’ indices are now classical sensitivity measures. However their estimation requires a large number of model evaluations, especially when interaction effects are of interest....

A continuous-time predator–prey model without spatial variation is proposed to study the impact of Allee effects upon the predator–prey interaction when the prey population is subject to Allee effects. The system exhibits a threshold below which both populations become extinct. The model...

Based on the importance analysis with independent random variables, an ordering importance measure is proposed to evaluate the effects of variables on the uncertainty of output response first, in which not only independent random variables but also correlated ones are included, and it provides a...

We propose a finite element approximation for an evolution model describing the spatial population distribution of two salt tolerant plant species, such as mangroves, which are affected by inter- and intra-specific competition (Lotka–Volterra), population pressure (cross-diffusion) and...

Two families of tests for testing uniform association in cross-classification having ordered categories are considered. The test statistics of the tests in these two families are based on Burbea–Rao divergences between certain functions of the observed data. The objective of this paper is to...

Motivated by previous work on the simplification of parametrizations of curves, in this paper we generalize the well-known notion of analytic polynomial (a bivariate polynomial P(x, y), with complex coefficients, which arises by substituting z→x+iy on a univariate polynomial p(z)∈ℂ[z],...