Vol 79, No 10 (2018)

We propose a suite of intelligent tools based on the integration of methods of agent modeling and machine learning for the improvement of protection systems and emergency automatics. We propose an online approach to the assessment and management of dynamic security of electric power systems (EPS) with the use of a streaming modification of the random forest algorithm. The suite allows to recognize dangerous modes of complex closed-loop EPS, preventing the risk of emergencies on early stages. We show results of experimental tests on IEEE test systems.

In earlier works, solutions of Lyapunov equations were represented as sums of Hermitian matrices corresponding to individual eigenvalues of the system or their pairwise combinations. Each eigen-term in these expansions are called a sub-Gramian. In this paper, we derive spectral decompositions of the solutions of algebraic Lyapunov equations in a more general formulation using the residues of the resolvent of the dynamics matrix. The qualitative differences and advantages of the sub-Gramian approach are described in comparison with the traditional analysis of eigenvalues when estimating the proximity of a dynamical system to its stability boundary. These differences are illustrated by the example of a system with a multiple root and a system of two resonating oscillators. The proposed approach can be efficiently used to evaluate resonant interactions in large dynamical systems.

Consideration was given to the further development of the system approaches and assessment of opportunities of the mathematical description of investment processes and location on it of the necessary computing tools for formation of the basic technologies at the design of financial tools in the procedures of securitization and creation of the structured financial investment tools. Interest was mostly shown in the elements of decision making by the participants of the process of residential crediting in dynamics and synergetic effect arising at pooling the participant resources. The fact of reduced credit rate was proved theoretically. The established fact of possible dramatic reduction in the borrower credit rates by efficient bank subsidization realizable by various financial tools can be put down to the main result of the computer experiments.

The results of work on creation of an original formalized method for estimation of the economic efficiency of the know-how for selection of the directions for the state investments from the balance models under uncertainty were compactly presented.

For the structural classification analysis of complex organized information, we propose to use recurrent algorithms of stochastic approximation type. We introduce classification quality functionals that depend on non-normalized and zero moments of probability distribution functions for the probability of sample objects appearing in the classes, as well as the type of optimal classification. We propose a new classification algorithm for this type of classification quality criteria and prove a theorem about its convergence that ensures the stationary value of the corresponding functional. We show that the proposed algorithm can be used to solve a wide class of problems in structural classification analysis.

We study the factors that influence the health of a person and human longevity with methods of mathematical modeling. We pay special attention to the use of modern data analysis methods that take into account the effects of heterogeneity in the considered groups of people due to genetic, behavioral differences, and presence of concomitant diseases that affect the condition of a person differently. We study the relationship between cause-specific mortality and diseases that the person had at the end of his or her life.

This paper is dedicated to passification-based adaptive control design for quadrotor stabilization. We construct a stabilization system for a quadrotor using PD controllers and the feedback linearization method. Finally, we demonstrate simulation results and compare the new approach with two other control design methods.

Time consistency is one of the most important properties of solutions in cooperative differential games. This paper uses the core as a cooperative solution of the game. We design a strong time-consistent subset of the core. The design method of this subset is based on a special class of imputation distribution procedures (IDPs).