| 非线性控制系统绝对稳定性的代数判据 |
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| 引用本文： | 肖淑贤. 非线性控制系统绝对稳定性的代数判据[J]. 华中科技大学学报(自然科学版), 1992, 0(2) |
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| 作者姓名： | 肖淑贤 |
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| 作者单位： | 华中理工大学数学系 |
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| 摘 要： | 解决非线性控制系统的绝对稳定性,需要构造V函数,一般是二次型加非线性项的积分(称为Lurie型V函数).给出V定负的充分必要条件是很重要的.本文较好地解决了这一问题.它的基本结果已经被概括在文献[1]之中.
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Algebraic Criteria for Absolute Stability of Nonlinear Control Systems |
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| Xiao Shuxian. Algebraic Criteria for Absolute Stability of Nonlinear Control Systems[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1992, 0(2) |
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| Authors: | Xiao Shuxian |
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| Affiliation: | Xiao Shuxian |
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| Abstract: | The absolute stability of nonlinear control systems with many nonlinear control terms is investigated. Integral form Lurie's V function with a quadratic form plus nonlinear control terms has been designed for the investigation. Sufficient and necessary conditions for V to be definite-negative are given for three cases, including stationary and nonstationary control systems, those with delay and discrete systems. |
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| Keywords: | nonlinear control system absolute stability V-function |
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