Designing a stable cycle in weakly coupled identical systems

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• 作者：I. N. Barabanov ; V. N. Tkhai
• 关键词：model ; coupled subsystems ; family of periodic solutions ; asymptotic orbital stable cycle ; natural stabilization
• 刊名：Automation and Remote Control
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：78
• 期：2
• 页码：217-223
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Control, Robotics, Mechatronics; Mechanical Engineering; Computer-Aided Engineering (CAD, CAE) and Design;
• 出版者：Pleiades Publishing
• ISSN：1608-3032
• 卷排序：78

文摘

Consideration was given to a dynamic model containing weakly coupled identical subsystems. The subsystem was assumed to admit a family of periodic solutions where the period is a monotonic function of one parameter. Requirements on the coupling under which the model has an asymptotic orbital stable cycle were established. The problem of stabilization of the model oscillations by a small smooth autonomous coupling control was solved using the results obtained. The system of two coupled conservative systems with one degree of freedom was considered individually.