Synthesis of Dual Program Control for a Multidimensional Dynamical System

• Published in: Journal 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
• Language: English
• 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

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...