| 多非线性区间Lurie系统的鲁棒绝对稳定性 |
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| 引用本文： | 甘作新,葛渭高.多非线性区间Lurie系统的鲁棒绝对稳定性[J].辽宁师范大学学报(自然科学版),2000,23(1):9-14. |
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| 作者姓名： | 甘作新 葛渭高 |
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| 作者单位： | 北京理工大学,应用数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金!198710 0 5 |
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| 摘 要： | 考虑了关于模型变化的具有多非性的区间Ｌｕｒｉｅ控制系统的鲁棒绝对稳定性。用Ｌｙａｐｕｎｏｖ函数方法和区间分析技术，得到了区间Ｌｕｒｉｅ系统鲁棒绝对稳定的一些分条件。这些条件减少了绝对稳定鲁棒检测的保守性。这些鲁棒分析方法是基于区间矩阵的鲁棒控制分析。
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| 关 键 词： | Lurie控制系统 鲁棒绝对稳定性 区间控制系统 |
Robust Absolute Stability of Interval Lurie System with Multiple Non-Linearities |
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| GAN Zuo-xin,GE Wei-gao.Robust Absolute Stability of Interval Lurie System with Multiple Non-Linearities[J].Journal of Liaoning Normal University(Natural Science Edition),2000,23(1):9-14. |
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| Authors: | GAN Zuo-xin GE Wei-gao |
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| Abstract: | The robust absolute stability of interval Lurie control system with multiple nonlinearities is considered with respect to model variation.Based on the method of Lyapunov function and interval analysis technique,some sufficient conditions of robust absolute stability for the interval Lurie system are obtained,which reduces the conservatism in robustness tests of absolute stability.The proposed approaches for robustness analysis are based on the stability analysis of interval matrices.The new robustness results are illustrated by two simple numerical examples. |
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| Keywords: | interval Lurie control system lyapunov function robust absolute stability interval matrix |
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