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JOURNALS // Informatika i Ee Primeneniya [Informatics and its Applications] // Archive

Inform. Primen., 2021 Volume 15, Issue 1, Pages 3–10 (Mi ia705)

This article is cited in 5 papers

Normal suboptimal filtering for differential stochastic systems with unsolved derivatives

I. N. Sinitsyn

Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, 44-2 Vavilov Str., Moscow 119333, Russian Federation

Abstract: The article develops the series of papers dedicated to stochastic systems with unsolved derivatives. Methodological aspects of normal suboptimal filterings (NSOF) for stochastic systems with unsolved derivatives are presented. Nonlinear differential equations for state and observation are given at the following conditions: observation equations are Gaussian and do not depend on the state variable. One of sections is devoted to NSOF for Gaussian and non-Gaussian systems. Corresponding NSOF are given for additive noises. Also, an illustrative example is given. The NSOF quality analysis is considered.

Keywords: method of analytical modeling (MAM), method of normal approximation (MNA), method of statistical linearization (MSL), normal suboptimal filter, stochastic system (StS), stochastic systems with unsolved derivatives, shaping filter.

Received: 29.06.2020

DOI: 10.14357/19922264210101



© Steklov Math. Inst. of RAS, 2024