This paper concerns the theoretical analysis of step-by-step methods for solving initial value problems in ordinary and partial differential equations. The main theorem of the paper answers a natural question arising in the linear stability analysis of such methods. It guarantees a (strong) version of numerical stability – under a stepsize restriction related to the stability region of the nume...

This paper proposes a new PI/PID controller tuning method within filtered Smith predictor (FSP) configuration in order to deal with various types of time delay processes including stable, unstable and integrating delay dominant and slow dynamic processes. The proposed PI/PID controller is designed based on the IMC principle and is tuned using a new constraint and without requiring any approxima...

This paper investigates symmetrical buckling of orthotropic circular and annular plates of continuous variable thickness. Uniform compression loading is applied at the plate outer boundary. Thickness varies linearly along radial direction. Inner edge is free, while outer edge has different boundary conditions: clamped, simply and elastically restraint against rotation. The optimized Ritz method...

Data of remote multiangle measurements of reflected radiance are used for retrieval of the optical thickness, single scattering albedo and phase function parameter of cloudy and clear atmosphere. The method of perceptron neural network allows obtaining the surface albedo, optical thickness, single scattering albedo and phase function parameter from input values of multi-angle radiance and solar...

Vocal tract normalization (VTN) is an effective way to reduce inter-speaker variability mainly caused by variation of vocal tract shape among speakers of different genders and age groups. In this paper, some practical implementation issues of VTN are discussed. We adopted a method to train model and selected the proper normalization scales of different speakers. The acoustic model is estimated ...