| GLOBAL EXPONENTIAL STABILITY TO A CLASS OF DIFFERENTIAL SYSTEM WITH DELAY |
| |
| 作者姓名： | Zhang Hai~ |
| |
| 作者单位： | 1，2 |
| |
| 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 |
| |
| 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.
|
| 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 |
| |
| Zhang Hai.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. |
| |
| Authors: | Zhang Hai Jiang Wei |
| |
| Institution: | [1]School of Math. and Computation Science, Anhui University, Hefei 230039 [2]School of Math. and Comput. Sci., Anqing Teachers College, Anqing 246011, Anhui |
| |
| 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. |
| |
| Keywords: | delays Lyapunov functional global exponential stability |
| 本文献已被 CNKI 维普 等数据库收录！ |
