| 新的时变时滞不确定系统的稳定性判据 |
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| 引用本文： | 薛小清,李延波,黄威.新的时变时滞不确定系统的稳定性判据[J].广西师院学报,2014(2):18-22. |
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| 作者姓名： | 薛小清 李延波 黄威 |
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| 作者单位： | 广西师范学院数学科学学院,广西南宁530023 |
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| 基金项目： | 国家自然科学基金（11201089）;广西教育厅科技项目（2013YB141） |
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| 摘 要： | 研究带有时变有界的不稳定时滞系统的稳定性问题。通过运用Lyapunov-Krasovskii稳定性理论、合理建立Lyapunov-Krasovskii函数，结合积分不等式引理和交互式凸组合方法，减少不确定时变时滞系统相关判据的决策变量，给出了系统是渐近稳定的充分条件。所得结论采用线性矩阵不等式表示。数值例子验证了该方法的有效性。
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| 关 键 词： | 时变时滞系统 不确定系统 交互式凸组合 线性矩阵不等式 |
A New Method of Stability Criterion for Uncertain Systems with Time-varying Delay |
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| XUE Xiao-qing,LI Yan-bo,HUANG Wei.A New Method of Stability Criterion for Uncertain Systems with Time-varying Delay[J].Journal of Guangxi Teachers College(Natural Science Edition),2014(2):18-22. |
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| Authors: | XUE Xiao-qing LI Yan-bo HUANG Wei |
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| Institution: | (School of Mathematical Science,Guangxi Teachers Education University,Nanning 530023, China) |
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| Abstract: | The stability problem concerning uncertain time and varying delay systems with time-varying bound is studied .By applying Lyapunov-Krasovskii stability theory ,constructing the Lya-punov-Krasovskii functions properly and combining integral inequality lemma with reciprocally convex method ,which is a way of reducing the number of decision variables ,the sufficient conditions for as-ymptotic stability of the systems are given .The resulting criterion is based on linear matrix inequalities （LMIs） .A numerical example is given to show the effectiveness of the method . |
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| Keywords: | time-varying delay system uncertain system reciprocally convex combination line-ar matrix inequality |
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