| 具有非线性扰动的线性多时变时滞系统的鲁棒稳定性 |
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| 引用本文： | 李伯忍,胥布工. 具有非线性扰动的线性多时变时滞系统的鲁棒稳定性[J]. 系统科学与数学, 2010, 30(7): 887-894 |
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| 作者姓名： | 李伯忍 胥布工 |
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| 作者单位： | 1. 华南理工大学自动化科学与工程学院,广州,510640;东莞理工学院计算机学院,东莞,523808
2. 华南理工大学自动化科学与工程学院,广州,510640 |
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| 基金项目： | 国家自然科学基金-广东联合基金重点项目，广东省自然科学基金 |
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| 摘 要： | 采用了一类新型积分等式,研究了具有非线性扰动的线性多时变时滞系统的时滞相关鲁棒稳定性问题,并推广得到一般的时滞相关－时滞变化率无关的鲁棒稳定性条件.数值实例表明,稳定性条件的保守性也有所减少.
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| 关 键 词： | 积分等式 非线性扰动 时变时滞 鲁棒稳定性. |
| 收稿时间： | 2009-11-24 |
ROBUST STABILITY FOR MULTIPLE TIME-VARYING DELAYS SYSTEMS WITH NONLINEAR PERTURBATIONS |
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| LI Boren,XU Bugong. ROBUST STABILITY FOR MULTIPLE TIME-VARYING DELAYS SYSTEMS WITH NONLINEAR PERTURBATIONS[J]. Journal of Systems Science and Mathematical Sciences, 2010, 30(7): 887-894 |
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| Authors: | LI Boren XU Bugong |
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| Affiliation: | (1)College of Automation Science and Engineering, South China University of Technology, 510640; College of Computer, Dongguan University of Technology, 523808;(2)College of Automation Science and Engineering, South China University of Technology, 510640 |
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| Abstract: | By virtue of new-type integral-equality, this paper is concerned with robust stability of multiple time-varying delays systems with nonlinear perturbations, and the delay-dependent and delay variety rate-independent robust stability condition is given. Numerical example shows effectiveness of the results. |
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| Keywords: | Integral-equality nonlinear perturbation time-varying delay robust stability. |
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