| 变时滞退化Lurie控制系统的绝对稳定性 |
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| 引用本文： | 赵小文,蒋威.变时滞退化Lurie控制系统的绝对稳定性[J].数学研究,2012,45(2):192-197. |
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| 作者姓名： | 赵小文 蒋威 |
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| 作者单位： | 1. 安徽大学数学科学学院,安徽合肥230039／安徽新华学院公共课教学部,安徽合肥230031
2. 安徽大学数学科学学院,安徽合肥,230039 |
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| 基金项目： | 国家自然科学基金项目，高校博士点专项科研基金，安徽省高校重大项目 |
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| 摘 要： | 研究了变时滞退化Lurie控制系统的绝对稳定性问题.基于Lyapunov稳定性理论,利用线性矩阵不等式方法给出了系统绝对稳定的判别准则.讨论了变时滞退化Lurie直接控制系统和间接控制系统的绝对稳定性,得到绝对稳定性的充分条件仅依赖于时滞导数的大小,且时滞可以是无界函数：最后给出了实例说明本文结果的有效性.
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| 关 键 词： | Lurie控制系统 绝对稳定性 退化 变时滞 线性矩阵不等式 |
Absolute Stability for Singular Lurie Control Systems with Time-varying Delay |
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| Zhao Xiaowen,Jiang Wei.Absolute Stability for Singular Lurie Control Systems with Time-varying Delay[J].Journal of Mathematical Study,2012,45(2):192-197. |
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| Authors: | Zhao Xiaowen Jiang Wei |
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| Institution: | 1 (1.School of Mathematical Science,University of Anhui,Hefei,Anhui,230039; 2.Public Ministry of Teaching,Anhui Xinhua College,Hefei,Anhui,230031) |
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| Abstract: | In this paper,we consider the absolute stability for singular Lurie control systems with time-varying delay.Based on Lyapunov stability theory and linear matrix inequalities,absolute stability criteria are derived.The absolute stability for singular Lurie type direct control systems and indirect control systems with time-varying delay is discussed respectively.The result depends on the size of delay derivative and the delay can be unbound functions.Finally,an example indicates the effectiveness of the results. |
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| Keywords: | Lurie control Absolute stability Singular Time-varying delays Linearmatrix inequalities |
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