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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 1976 Issue 2, Pages 44–54 (Mi at7690)

Stochastic Systems

Optimal filtering in systems with random stepwise changes of the structure

V. A. Bukhalev

Moscow

Abstract: The paper is concerned with a dynamic systems the changes of whose structure is described by a conditional Markov chain. In each state of its structure the system is described by nonlinear stochastic differential equations. Equations are found for a posteriori probabilities of the structure states, probability density and moments of phase coordinates; they result from observation of a certain function of phase coordinates, mixed with noise.

UDC: 621.372.54


Received: 02.06.1975


 English version:
Automation and Remote Control, 1976, 37:2, 160–169

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