| A DELAY DIFFERENTIAL INEQUALITY |
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| 作者姓名： | 曾志刚 傅朝金 廖晓昕 |
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| 作者单位： | Dept. of Control Sci. and Eng.，Huazhong University of Sci. and Tech.，Wuhan 430074 Dept. of Math.，Hubei Normal University，Huangshi 435002 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (60274007)，Significant Academic Foundation of Education Department of Hubei Province (2001Z06003). |
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| 摘 要： | In this paper, we obtain a slight generalization of the celebrated Halanay delay differential inequality1]. Using this inequality, Liapunov function and vector Liapunov function, we show that our result can be applied to the stability behavior of solutions of some delay differential systems. And also, we attempt to relax some restrictions of dv/dt, which is necessary under Liapunov function's method on the delay differential systems.
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A DELAY DIFFERENTIAL INEQUALITY |
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| Zeng Zhigang Fu Chaojin Liao Xiaoxin.A DELAY DIFFERENTIAL INEQUALITY[J].微分方程年刊(英文版),2002(4). |
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| Authors: | Zeng Zhigang Fu Chaojin Liao Xiaoxin |
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| Abstract: | In this paper, we obtain a slight generalization of the celebrated Halanay delay differential inequality1]. Using this inequality, Liapunov function and vector Liapunov function, we show that our result can be applied to the stability behavior of solutions of some delay differential systems. And also, we attempt to relax some restrictions of dv/dt, which is necessary under Liapunov function's method on the delay differential systems. |
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| Keywords: | differential inequality negative-definite stability |
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