| 有限时滞微分系统依照双测度的实际稳定性 |
| |
| 引用本文： | 寇春海,张书年. 有限时滞微分系统依照双测度的实际稳定性[J]. 应用数学学报, 2002, 25(3): 476-483 |
| |
| 作者姓名： | 寇春海 张书年 |
| |
| 作者单位： | 1. 上海交通大学自动化系,上海,200030
2. 上海交通大学应用数学系,上海,200030 |
| |
| 基金项目： | 国家自然科学基金（19831030号）资助项目 |
| |
| 摘 要： | 本文对具有有限时滞的泛函微分方程建立了关于依照两种测度的实际稳定性的Razumikhin型判定定理，其中未采用通常的辅助函数，且可运用多个含有状态变量x的部分变元的Lyapunov函数，得出部分变远实际稳定性的判定定理，从而改进了已有的结果。
|
| 关 键 词： | 有限时滞微分系统 双测度 实际稳定性 |
PRACTICAL STABILITY FOR FINITE DELAY DIFFERENTIAL SYSTEMS IN TERMS OF TWO MEASURES |
| |
| KOU CHUNHAI. PRACTICAL STABILITY FOR FINITE DELAY DIFFERENTIAL SYSTEMS IN TERMS OF TWO MEASURES[J]. Acta Mathematicae Applicatae Sinica, 2002, 25(3): 476-483 |
| |
| Authors: | KOU CHUNHAI |
| |
| Abstract: | In this paper, we establish several Razumikhin-type theorems on practical sta-bility for functional differential equations with finite delay in terms of two measures. Our results avoid employing P functions which are not easy to find, and enable us to obtain par-tial practical stability criteria by using the Lyapunov functions including partial variables of state variable x. Thus, the obtained results much improve the known ones. |
| |
| Keywords: | Functional differential equation practical stability contract practical stability Lyapunov functions Razumikhin method |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
