电邮这篇文章 CONTROL DESIGN FOR A MULTIDIMENSIONAL SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS WITH RELAY HYSTERESIS AND PERTURBATION
- 作者: Yevstafyeva V.V1
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隶属关系:
- Saint Petersburg State University
- 期: 卷 60, 编号 10 (2024)
- 页面: 1368-1385
- 栏目: CONTROL THEORY
- URL: https://ogarev-online.ru/0374-0641/article/view/270540
- DOI: https://doi.org/10.31857/S0374064124100064
- EDN: https://elibrary.ru/JTIOXZ
- ID: 270540
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详细
A multidimensional controllable system with a constant matrix, a significant nonlinearity of the twoposition relay type with hysteresis as a control and a continuous periodic perturbation function is considered. The system matrix has simple, real, non-zero eigenvalues, among which one can be positive. Conditions for the system parameters, including the nonlinearity ones, are established under which there is a single two-point oscillatory periodic solution with a period comparable to the period of the perturbation function in the case of a special type of the feedback vector. The asymptotic stability of the solution has been proven using the phase plane method. The results obtained are illustrated by examples for three-dimensional systems.
参考
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