Synthesis of Dual Program Control for a Multidimensional Dynamical System

In this paper, the authors consider the problem of the synthesis of dual program control for a multidimensional dynamic system and propose various quality indexes for dual program control. Based on the Rayleigh–Ritz method, they synthesize a control law for the spatial position of a sensor unit in a...

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 260; no. 3; pp. 392 - 397
Main Authors Shepet, I. P., Litvin, D. B.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.01.2022
Springer
Springer Nature B.V
Subjects
Control systems
Control theory
Differential equations
Dynamical systems
Electronics in navigation
Inertial navigation
Inertial navigation (Aeronautics)
Mathematics
Mathematics and Statistics
Navigation systems
Position sensing
Ritz method
Sensors
Synthesis
dual program control
control law
system of stochastic differential equations
65K10
49M27
multidimensional dynamical system
quality index
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Summary:In this paper, the authors consider the problem of the synthesis of dual program control for a multidimensional dynamic system and propose various quality indexes for dual program control. Based on the Rayleigh–Ritz method, they synthesize a control law for the spatial position of a sensor unit in an inertial navigation system.
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ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05701-6