| 一类非线性三阶时滞系统的全局渐近稳定性分析 |
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| 引用本文： | 虞继敏,夏清霞,杨春德.一类非线性三阶时滞系统的全局渐近稳定性分析[J].西南大学学报,2010,32(11). |
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| 作者姓名： | 虞继敏 夏清霞 杨春德 |
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| 作者单位： | 虞继敏,杨春德,YU Ji-min,YANG Chun-de(重庆邮电大学自动化学院,重庆,400065;重庆邮电大学网络化控制与智能仪器仪表教育部重点实验室,重庆,400065);夏清霞,XIA Qing-xia(广西师范学院数学与计算科学系,南宁,530023) |
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| 摘 要： | 针对一类非线性三阶时滞系统构造出了一个合理的Lyapunov函数,去除了要求lyapunov函数趋于无穷大这个较强的条件约束,只要求系统正半轨线有界,所得的全局渐近稳定性的充分性结果改进了相关文献的结论.最后给出了例子及仿真说明充分条件的有效性.Abstract：In this paper,we construct a better Lyapunov function for the nonlinear third order delay system by onlysupposing that the positive half orbit of the system is bounded.The original strong condition is removed,which demands that the Lyapunov function must trend to infinity.The results have improved the conclusions of relevant literatures.At last,examples are given and simulation is made to show the effectiveness of the sufficient conditions.
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| 关 键 词： | 非线性时滞系统 全局渐近稳定 Lyapunov函数 |
Globally Asymptotic Stability Analysis of a Class of Nonlinear Third-Order Delay System |
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| YU Ji-min,XIA Qing-xia,YANG Chun-de.Globally Asymptotic Stability Analysis of a Class of Nonlinear Third-Order Delay System[J].Journal of Southwest Agricultural University,2010,32(11). |
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| Authors: | YU Ji-min XIA Qing-xia YANG Chun-de |
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