| 具有非线性扰动的不确定奇异系统的广义二次稳定性 |
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| 引用本文： | 崔文霞,刘华.具有非线性扰动的不确定奇异系统的广义二次稳定性[J].云南师范大学学报(自然科学版),2010,30(3):15-18. |
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| 作者姓名： | 崔文霞 刘华 |
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| 作者单位： | 商丘师范学院数学系,河南,商丘,476000 |
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| 基金项目： | 国家自然科学基金，河南省自然科学基金 |
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| 摘 要： | 当非线性扰动满足Lipschitz条件时,利用S-程序引理和线性矩阵不等式解决了不确定奇异系统的广义二次稳定性问题,并给出了扰动的界.同时,非线性扰动正常系统的鲁棒稳定性问题也得到了解决.最后,利用算例验证了此方法的有效性.
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| 关 键 词： | 不确定 奇异系统 非线性扰动 广义二次稳定性 |
Generalized Quadratic Stability for Uncertain Singular Systems with Nonlinear Perturbation |
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| CUI Wen-xia,LIU Hua.Generalized Quadratic Stability for Uncertain Singular Systems with Nonlinear Perturbation[J].Journal of Yunnan Normal University (Natural Sciences Edition),2010,30(3):15-18. |
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| Authors: | CUI Wen-xia LIU Hua |
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| Institution: | CUI Wen-xia,LIU Hua(Department of Mathematics,Shangqiu Normal College,Shangqiu,476000,China) |
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| Abstract: | The generalized quadratic stability problem is solved for uncertain singular system under the nonlinear perturbation satisfying lipschitz-condition in this paper.And the maximal perturbation bound for uncertain singular systems is presented in terms of S-procedure and linear matrix inequality(LMI).Furthermore,robust stability for uncertain nonsingular systems with perturbation can be obtained as a special case.Finally,an illustrative example is provided to demonstrate the effectiveness of the proposed appro... |
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| Keywords: | uncertain singular systems nonlinear perturbation generalized quadratic stability |
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