A method to design the controllers of one-dimensional minimum phase plants under unknown bounded exogenous disturbances was proposed. It relies on determining the parameters of the Bézout identity providing the desired control precision and speed.

Abstract—Consideration was given to calculations of the parameters of transition between two opposite-magnetization domains in a thin-film working layer of the hard magnetic disk with regard for the saw-toothed form of transition. The transition parameters were related to the properties of the magnetic disk working layer and the magnetic head characteristics. For various recording densities, the levels of the playback signal and the resolution coefficient were determined.

Abstract—Analytical expressions for the scalar magnetic potential vs. variation of magnetization in the pole of a thin-film magnetic head, pole dimensions, and the horizontal and vertical pole positions relative to the plane of the hard-disk working layer were established. Expressions for the magnetic stray fields vs. the horizontal and vertical poles were obtained by studying the pole domain structure vs. the external magnetic field and determining the domain of magnetization variation in the pole marginal zones vs. the external field. Expressions for the write fields of the thin-film heads were established as a superposition of the pole stray fields. Examples of calculations of the write fields were given for various kinds of the thin-film magnetic heads.

Abstract—According to experimental and theoretical investigations, the one-dimensional 180 Néel domain wall is divided into three regions, namely, a central region (core) and two adjacent lateral tail regions located symmetrically relative to the core. An analytical model has been suggested in which the logarithmic depen- dence is used to describe the variations in the magnetization in these tails. When searching the equilibrium state, two variable parameters (the angle of the magnetization rotation in the core and the core width) are used. When numerically calculating the components of the total energy (the exchange, anisotropy, and magnetostatic ener- gies), the equal steps of the division are used in both the core region and the extended tails. It has been shown that, as the film thickness increases from 10 to 50 nm, the core thickness decreases, and the width of the tails increases significantly.

The oral technologies created a new type of the human-computer interaction. The oral servers and oral portals which implement a new model of human-computer communications may be studied using the methods of the queuing theory. Development of the analytical models to estimate some numerical characteristics of the human-computer one-channel dialogue such as the probability of successful dialogue, number of overinterrogations, and mean time of dialogue are the immediate subject matters of such studies. These characteristics may be used further to analyze operation of the entire queuing system that models the multichannel oral portal. The main parameters of the human-computer dialogue such as the probability of correct recognition of an element and the entire dialogue at overinterrogations and the time used for a dialogue element were considered. The parameters for estimation of the dialogue length were determined. A classification of the dialogue control algorithms at oral interaction of the client with the computer-aided information and servicing systems was developed. The algorithms were compared in terms of duration with regard for the desired reliability of recognition.