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Robust and minimum norm partial eigenvalue assignment in singular vibration systems

delete2025-09-01
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PRE
AI
K
Kang Zhao *
J
Jiantian Wang
F
Fangting Deng
DOI:10.1016/j.jmaa.2025.130048delete
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摘要

摘要

En 中文
本文考虑了利用加速度-速度-位移主动控制器对奇异二阶系统的部分二次特征值分配问题(PQEAP)。基于二次对称广义特征值问题的谱分解,给出了闭环系统保持无溢出的充分必要条件。利用接受矩阵和系统矩阵,对PQEAP的参数解进行了表征。最后,提出了一种基于梯度的优化算法,用于求解PQEAP的鲁棒最小范数解。数值算例表明了所提出方法的有效性和鲁棒性。 (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
Keyword:
Active feedback control
Singular system
Partial quadratic eigenvalue
assignment
Robustness
Minimum norm

期刊

J
Journal of Mathematical Analysis and Applications
IF:
1.2
论文数:
426
被引数:
0

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