| 一类中立型时滞系统的稳定性 |
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| 引用本文： | 李 迪,熊良林,邓海云,李晶晶.一类中立型时滞系统的稳定性[J].贵州师范大学学报(自然科学版),2014(2):47-51. |
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| 作者姓名： | 李 迪 熊良林 邓海云 李晶晶 |
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| 作者单位： | 云南民族大学数学与计算机科学学院,云南昆明650500 |
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| 基金项目： | 云南省自然科学基金（2011FZ172）,云南民族大学校内青年基金（11QN07） |
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| 摘 要： | 采用了等分时滞区间的方法,通过构造新的李雅普诺夫函数,结合矩阵不等式的分析技巧,得到了时滞依赖稳定性的线性矩阵不等式的系列条件。并结合系统的性质,构造新的李雅普诺夫泛函,对其导数积分项进行时滞等分处理。首先讨论了离散时滞与中立型时滞相等的系统的稳定性问题,然后讨论了混合时滞系统的稳定性问题。最后利用数值实例,通过MATLAB工具箱计算线性矩阵不等式,验证了所得的结果。
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| 关 键 词： | 中立型时滞系统 时滞依赖稳定性 李雅普诺夫函数 等分时滞区间 线性矩阵不等式 |
The stability of a class of neutral delay systems |
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| LI Di,XIONG Lianglin,DENG Haiyun,LI Jingjing.The stability of a class of neutral delay systems[J].Journal of Guizhou Normal University(Natural Sciences),2014(2):47-51. |
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| Authors: | LI Di XIONG Lianglin DENG Haiyun LI Jingjing |
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| Institution: | (School of Mathematics and Computer Science, Yunnan University of Nationalities, Kunming , Yunnan 650500, China) |
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| Abstract: | A method aliquot delay interval is used by constructing a new Lyapunov function,combined with matrix inequality analysis techniques and got a series of conditions for delay-dependent stability of linear matrix inequalities.With the Systematic nature,to construct a new Lyapunov functional,conducted its derivative integral term treatment Delays decile.First discussed the equivalent discrete time -delay and neutral delay system stability issues.Then discuss the stability of the hybrid delay systems.Finally,use numerical examples and calculated by MATLAB LMI toolbox to verified the results. |
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| Keywords: | neutral delay systems delay-dependent stability lyapunov function decile delay interval linear matrix inequality |
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