Том 79, № 11 (2018)

We identify the main stages of intelligent analysis of the pulse signal of the radial artery, used to obtain a set of informative parameters in medical diagnostic problems for various diseases. We show the results of expert and formalized classifications of the parameters of the analyzed signal, including the parameters of the shape of the pulse wave within the main quasiperiod and parameters that determine the rhythmic structure of the signal. We develop a multi-stage scheme for obtaining a set of informative parameters of the pulse signal that allows to take into account their characteristic features. The effectiveness of the developed approaches is demonstrated with the example of the problem of diagnosing early stages of arterial hypertension.

Trajectories of stable linear systems with nonzero initial conditions are known to deviate considerably from the zero equilibrium point at finite time instances. In the paper we analyze transients in discrete-time linear systems and provide upper bounds on deviations (peaks) via use of linear matrix inequalities. An approach to peak-minimizing feedback design is also proposed. An analysis of peak effects for norms of powers of Schur stable matrices is presented and a robust version of the problem is considered. The theory is illustrated by numerical examples.

A hybrid control system with a discrete adaptive predictive model for a nonstationary unstable third-order dynamic plant in continuous time is synthesized and modeled. An adaptive state observer, estimating a variable parameter of the plant model with respect to the a quadratic quality criterion, was synthesized. Continuous estimation of the plant parameter for a discrete sample is used in a discrete adaptive control algorithm with a predictive model. A linear model of the control plant mimics the unstable vertical motion of plasma in a tokamak with a vertical cross-section elongated along the vertical axis compared to a given equilibrium position.

Very simple bilateral estimates of the effectiveness retention ratio for a wide class of complex systems with the output effect determined by the number of normally operating executive elements were proposed. Such systems are represented, for example, by the information control systems having hierarchical branching structure, queuing systems, and communication systems. To establish the estimates, it suffices to know only the expectation of the number of normally operating executive elements. At that, admitted are statistical dependencies between the states of the system elements and arbitrary nature of the flows of failures and recovery of the elements.

In this paper, we study the efficiency of egoistic and altruistic strategies within the model of social dynamics determined by voting in a stochastic environment (the ViSE model) using two criteria: maximizing the average capital increment and minimizing the number of bankrupt participants. The proposals are generated stochastically; three families of the corresponding distributions are considered: normal distributions, symmetrized Pareto distributions, and Student’s t-distributions. It is found that the “pit of losses” paradox described earlier does not occur in the case of heavy-tailed distributions. The egoistic strategy better protects agents from extinction in aggressive environments than the altruistic ones, however, the efficiency of altruism is higher in more favorable environments. A comparison of altruistic strategies with each other shows that in aggressive environments, everyone should be supported to minimize extinction, while under more favorable conditions, it is more efficient to support the weakest participants. Studying the dynamics of participants’ capitals we identify situations where the two considered criteria contradict each other. At the next stage of the study, combined voting strategies and societies involving participants with selfish and altruistic strategies will be explored.

Use of the semidefinite relaxation in the problem of sign-definiteness of the quadratic form under quadratic constraints enables one to establish from the duality conditions an S-procedure. However, the S-procedure giving the necessary and sufficient conditions for signdefiniteness of the relaxed problem provides only the sufficient conditions for sign-definiteness for the original problem for the case of two and more quadratic constraints. This property is called the deficiency of S-procedure. A method was proposed enabling one in some cases to establish the conditional sign-definiteness in the case where the S-procedure provides a negative result. This method give the necessary and sufficient conditions for sign-definiteness in the two-dimensional case. An example was given.

This paper considers the planning problem of an object’s optimal path that passes through a random search region. The problem specifics consist in that the search region is a priori unknown but the algorithmic and technical characteristics of search means are known. Two variational statements of the integral risk minimization problem with and without path length constraints are suggested. Program modules for their numerical solution are also developed.

A supply chain management mathematical model for an isolated warehouse with two suppliers of different reliability is considered. Optimal inventory control strategy synthesis algorithm is constructed. The transfer to stationary strategies is investigated. We developed C++ software package to simulate algorithm for two different probabilistic distributions of demand: discrete Gauss-like and another one, discrete too, close to uniform. These examples are used to investigate the optimal stationary strategy parameters and costs dependency of econometrical attributes (among these–discount factor).