We investigate the exponential stability of a linear system neutral-type with variable time lags. By using Newton–Leibniz formula and Lyapunov–Krasovskii functional, we prove two results on solutions. The criteria are stated in form matrix inequalities. MATLAB-Simulink software, present numerical examples illustrating applicability our assumptions. obtained extend generalize already known avail...

In this paper, we introduce a new methodology for Bayesian variable selection in linear regression that is independent of the traditional indicator method. A diagonal matrix $\mathbf{G}$ introduced to prior coefficient vector $\boldsymbol{\beta}$, with each $g_j$'s, bounded between $0$ and $1$, on serves as stabilizer corresponding $\beta_j$. Mathematically, promising has $g_j$ value close $0$,...

This paper presents a position sensor based on novel configuration of linear variable differential transformer. Design and optimization the using finite element method are presented. The measurements also conducted to validate experimentally performance. has short air core coils long magnetic armatures. axis rectangular excitation coil two antiserially connected pick up is perpendicular motion ...

In many application areas, the problem of automatic variable selection in a linear model with asymmetric errors is encountered, when number explanatory variables diverges sample size. For this high-dimensional model, penalized least squares method not appropriate and quantile framework makes inference more difficult because non differentiability loss function. An estimation by penalizing expect...