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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2019 Volume 167, Pages 117–123 (Mi into493)

Synthesis of dual program control for a multidimensional dynamical system

I. P. Shepeta, D. B. Litvinb

a Technological Institute of Service (branch) FSBEI of HE "Don State Technical University"
b Stavropol State Agrarian University

Abstract: In this paper, we consider the problem of synthesis of dual program control for a multidimensional dynamic system and propose various quality indicators for dual program control. Based on the Rayleigh–Ritz method, we synthesize a control law for the spatial position of the block of sensitive elements of an inertial navigation system.

Keywords: multidimensional dynamical system, dual program control, control law, quality indicator, system of stochastic differential equations.

UDC: 517.977

MSC: 49M27, 65K10

DOI: 10.36535/0233-6723-2019-167-117-123



© Steklov Math. Inst. of RAS, 2024