The stability problem on delay-dependent exponential convergence for neutral-type systems with nonlinear perturbations is investigated in this paper. A linear matrix inequality (LMI) based exponential stability criterion is derived by means of the Lyapunov-Krasovskii functional approach and a parameterized model transformation technique. An example is used to illustrate the less conservative re...

meteorological stations usually contain some missing data for different reasons.there are several traditional methods for completing data, among them bivariate and multivariate linear and non-linear correlation analysis, double mass curve, ratio and difference methods, moving average and probability density functions are commonly used. in this paper a blended model comprising the bivariate expo...

Transformations can help small sample likelihood/Bayesian inference by improving the approximate normality of the likelihood/posterior. In this article we investigate when one can expect an improvement for a one-dimensional random function (Gaussian process) model. The log transformation of the range parameter is compared with an alternative (the logexp) for the family of Power Exponential corr...

We introduce spaces of exponential constructible functions in the motivic setting for which we construct direct image functors in the absolute and relative settings. This allows us to define a motivic Fourier transformation for which we get various inversion statements. We also define spaces of motivic Schwartz-Bruhat functions on which motivic Fourier transformation induces isomorphisms. Our m...

We present three algorithms in this paper: the first algorithm solves zero-dimensional parametric homogeneous polynomial systems with single exponential time in the number n of the unknowns, it decomposes the parameters space into a finite number of constructible sets and computes the finite number of solutions by parametric rational representations uniformly in each constructible set. The seco...