| 含有非线性扰动的时滞系统新的鲁棒稳定性准则 |
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| 引用本文： | 秦体恒,刘娟,陈永刚.含有非线性扰动的时滞系统新的鲁棒稳定性准则[J].河南师范大学学报(自然科学版),2010,38(3). |
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| 作者姓名： | 秦体恒 刘娟 陈永刚 |
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| 作者单位： | 1. 河南机电高等专科学校,基础部,河南,新乡,453002
2. 河南科技学院,数学系,河南,新乡,453003 |
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| 基金项目： | 河南科技学院自然科学基础研究计划项目 |
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| 摘 要： | 考虑了一类含有时变时滞和非线性扰动的线性系统的鲁棒稳定性问题.通过利用新的Lyapunov泛函和Jensen积分不等式,得到了保守性较小的鲁棒稳定性准则.数值例子表明所得结果改进了一些文献中的结果.
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| 关 键 词： | 线性系统 非线性扰动 鲁棒稳定性 时变时滞 线性矩阵不等式 |
Robust Stability Criterion for Time-Delay Systems with Nonlinear Perturbations |
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| QIN Ti-heng,LIU Juan,CHEN Yong-gang.Robust Stability Criterion for Time-Delay Systems with Nonlinear Perturbations[J].Journal of Henan Normal University(Natural Science),2010,38(3). |
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| Authors: | QIN Ti-heng LIU Juan CHEN Yong-gang |
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| Abstract: | This paper considers the robust stability problem for a class of linear systems with time-varying delays and nonlinear perturbations.By using new Lyapunov functional and Jensen integral inequality,the less conservative robust stability criterion is obtained.Numerical example shows that the derived result improves some existing ones in the literature. |
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| Keywords: | linear systems nonlinear perturbations robust stability time-varying delay linear matrix inequalities(LMIs) |
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