Basic oscillation mode in the coupled-subsystems model

Consideration was given to the model obeying a system of ordinary differential equations where the subsystems are systems of autonomous ordinary differential equations. If the coupling parameter ɛ = 0, then the model falls apart into decoupled subsystems. For a model consisting of coupled subsystems...

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Bibliographic Details
Published in:Automation and remote control 2014-12, Vol.75 (12), p.2112-2123
Main Authors: Barabanov, I. N., Tureshbaev, A. T., Tkhai, V. N.
Format: Article
Language:English
Subjects:
Autonomous
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Computer-Aided Engineering (CAD
Control
Differential equations
Joining
Mathematical models
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Nonlinear Systems
Oscillation modes
Oscillations
Remote control
Robotics
Stability
Systems Theory
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Summary:Consideration was given to the model obeying a system of ordinary differential equations where the subsystems are systems of autonomous ordinary differential equations. If the coupling parameter ɛ = 0, then the model falls apart into decoupled subsystems. For a model consisting of coupled subsystems, considered was the main mode for which the problems of oscillations, bifurcation, and stability were solved, and the results obtained before for the case of two second-order subsystems were generalized.
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117914120030