Covering Method for Trajectory Generation and Orbital Decomposition of Systems

Based on previously stated approaches, we propose a method for solving point-topoint steering problems in the case where a 2 n -parametric family of solutions of a nonlinear system is known and for Liouville systems. Two examples of the helicopter motions in the vertical plane and the Kapitsa pendul...

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Bibliographic Details
Published in:Differential equations 2018-04, Vol.54 (4), p.497-508
Main Authors: Belinskaya, Yu. S., Chetverikov, V. N.
Format: Article
Language:English
Subjects:
Analysis
Control systems
Control Theory
Difference and Functional Equations
Differential equations
Mathematics
Mathematics and Statistics
Methods
Nonlinear systems
Ordinary Differential Equations
Partial Differential Equations
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Summary:Based on previously stated approaches, we propose a method for solving point-topoint steering problems in the case where a 2 n -parametric family of solutions of a nonlinear system is known and for Liouville systems. Two examples of the helicopter motions in the vertical plane and the Kapitsa pendulum are considered to demonstrate the efficiency of the proposed method.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266118040079