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摘要: |
本文研究了具有重叠多非线性项的一般Lurie直接系统的绝对稳定问题. 利用关于某个变元绝对稳定的概念, 获得了绝对稳定的充要条件和一些充分条件, 推广了现有的一些研究结果. |
关键词: Lurie 系统 绝对稳定性 多非线性 Lyapunov 函数 |
DOI: |
分类号:O175.13 |
基金项目:国家自然科学基金资助(11071151) |
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ABSOLUTE STABILITY FOR GENERAL LURIE SYSTEMS WITH SUPERPOSITION OF MULTIPLE NONLINEARITIES |
ZHAO Xiu-yuan,GAN Zuo-xin
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Abstract: |
This paper investigates the problem of absolute stability for general Lurie direct systems with superposition of multiple nonlinearities. By means of the concept for absolute stability for certain variables, we obtain some necessary and sufficient conditions of absolute stability, furthermore some sufficient conditions are also obtained. |
Key words: Lurie systems1 absolute stability nonlinearities Lyapunov function |