Solution of the Local-Boundary-Value Problem of Control for a Nonlinear Stationary System Taking into Account Computer System Verification

In this work, an algorithm is suggested to construct the control function that provides the transition of a broad class of stationary nonlinear controllable systems of ordinary differential equations from the initial state to the origin of coordinates taking into account the possibility of verificat...

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Bibliographic Details
Published in:Vestnik, St. Petersburg University. Mathematics St. Petersburg University. Mathematics, 2024-06, Vol.57 (2), p.202-212
Main Authors: Kvitko, A. N., Litvinov, N. N.
Format: Article
Language:English
Subjects:
Algorithms
Analysis
Boundary value problems
Controllability
Differential equations
Mathematics
Mathematics and Statistics
Nonlinear control
Nonlinear systems
Numerical models
Verification
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Summary:In this work, an algorithm is suggested to construct the control function that provides the transition of a broad class of stationary nonlinear controllable systems of ordinary differential equations from the initial state to the origin of coordinates taking into account the possibility of verification of the operability of computer systems. Constructive sufficient conditions ensuring the existence of a solution to the set problem are found. The efficiency of the algorithm is shown by the numerical modeling of a specific practical problem.
ISSN:1063-4541
1934-7855
DOI:10.1134/S1063454124700055