O.V. Druzhinina1, E.R. Korepanov2, V.V. Belousov3

1-3 FRС «Computer Science and Control» of RAS (Moscow, Russia)

The development of tool support, increasing the efficiency of application development, improving the methods of accelerating computing to solve research problems of modeling nonlinear controlled systems using domestic software and hardware are relevant areas of research.The objectives of the study include the analysis of ways to accelerate calculations using the Elbrus computing platform, as well as the characteristics of the capabilities of the Elbrus architecture (e2k architecture and its subsequent versions) and blocks of the built-in EML mathematical library for the construction and implementation of fast algorithms used to solve matrix Riccati equations. The analysis of the possibilities of improving performance indicators is carried out and the features of the implementation of fast algorithms using the Elbrus architecture are characterized. Methods of numerical investigation of properties of matrix Riccati equations are systematized. Modern methods of designing nonlinear regulators, observation devices and filters based on the solution of the Riccati equations with state-dependent coefficients are described. To solve the matrix Riccati equation, the results of implementing algorithms using the Elbrus computing platform are presented. The results can be used to create algorithmic and software for solving problems of modeling nonlinear systems, problems of synthesis of suboptimal regulators, analysis and filtering of processes in deterministic and stochastic systems.

Druzhinina O.V., Korepanov E.R., Belousov V.V. Analysis of the features of using fast algorithms to solve problems of modeling nonlinear systems using the Elbrus computing platform. Nonlinear World. 2022. V. 20. № 3. P. 5-16.
DOI: https://doi.org/10.18127/j20700970-202203-01 (In Russian)

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