| GLOBAL EXPONENTIAL STABILITY TO A CLASS OF DIFFERENTIAL SYSTEM WITH DELAY |
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| 引用本文： | Zhang Hai~(1,2) Jiang Wei~1 1.School of Math.and Computation Science,Anhui University,Hefei 230039, 2.School of Math.and Comput.Sci.,Anqing Teachers College,Anqing 246011,Anhui. GLOBAL EXPONENTIAL STABILITY TO A CLASS OF DIFFERENTIAL SYSTEM WITH DELAY[J]. Annals of Differential Equations, 2007, 23(4): 564-569 |
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| 作者姓名： | Zhang Hai~(1 2) Jiang Wei~1 1.School of Math.and Computation Science Anhui University Hefei 230039 2.School of Math.and Comput.Sci. Anqing Teachers College Anqing 246011 Anhui |
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| 作者单位： | 1，2 |
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| 基金项目： | the National Natural Science Foundation of China (10771001)，the Key Program of Ministry of Education of China (205068)，the Foundation of Innovation Group of Anhui University |
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| 摘 要： | The global exponential stability of the zero solution to a class of differential system with delay is considered.By constructing a suitable type of Lyapunov functional and using some analytical techniques,we derive some criteria to check exponential stability of this system.The results establish a relation between the delay time and the parameters of the system.Two examples are also given to illustrate the validity of the results.
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| 关 键 词： | 函数 球形指数 稳定性 数学 |
GLOBAL EXPONENTIAL STABILITY TO A CLASS OF DIFFERENTIAL SYSTEM WITH DELAY |
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| Zhang Hai Jiang Wei. GLOBAL EXPONENTIAL STABILITY TO A CLASS OF DIFFERENTIAL SYSTEM WITH DELAY[J]. 微分方程年刊(英文版), 2007, 23(4): 564-569 |
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| Authors: | Zhang Hai Jiang Wei |
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| Affiliation: | [1]School of Math. and Computation Science, Anhui University, Hefei 230039 [2]School of Math. and Comput. Sci., Anqing Teachers College, Anqing 246011, Anhui |
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| Abstract: | The global exponential stability of the zero solution to a class of differential system with delay is considered.By constructing a suitable type of Lyapunov functional and using some analytical techniques,we derive some criteria to check exponential stability of this system.The results establish a relation between the delay time and the parameters of the system.Two examples are also given to illustrate the validity of the results. |
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| Keywords: | delays Lyapunov functional global exponential stability |
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