| 具约束的微分包含的极小时间函数 |
| |
| 引用本文： | 旷华武.具约束的微分包含的极小时间函数[J].应用数学,2000,13(2):31-36. |
| |
| 作者姓名： | 旷华武 |
| |
| 作者单位： | 贵州大学数学系,贵州,贵阳,550025 |
| |
| 基金项目： | Projectssupported by the Science Commission of Gui Zhou University and Gui Zhou Province( N0 3 0 71) |
| |
| 摘 要： | 本文研究具状态约束Ｋ与目标集Ｃ之下的微分包含ｘ’（ｔ）∈Ｆ（ｘ（ｔ））的极小时间函数。主要证明了：⑴存在有限时间，使在约束Ｋ之下，微分包含的一条轨道可以到达Ｃ；⑵极小时间函数是下半连续的且是相依Ｈａｍｉｌｔｏｎ－Ｊａｃｏｂｉ方程的粘性上解。
|
| 关 键 词： | 微分包含 极小时间函数 生存理论 |
Minimum Time Function for Differential Inclusion with State Constraints |
| |
| KUANG Hua-wu.Minimum Time Function for Differential Inclusion with State Constraints[J].Mathematica Applicata,2000,13(2):31-36. |
| |
| Authors: | KUANG Hua-wu |
| |
| Abstract: | In this paper, the minimum time function for differential inclusion x′(t)∈F(x(t)) with state constraints K and target set C is studied. The main results are: (1) There exists a finite time, for which a trajectory of the differential inclusion reaches C under state constraints K; (2) The minimum time function is lower semicontinuous and it is a viscosity supersolution to the contingent Hamilton-Jacobi equation. |
| |
| Keywords: | Differential inclusion Minimum time function Viability theory |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
