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离散线性区间系统的分支稳定性
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作者 赵胜民 李文秀 刘辉昭 《系统工程与电子技术》 EI CSCD 北大核心 2003年第1期68-70,共3页
研究了离散区间系统的一种特殊形式的稳定性 ,即分支稳定性。分别给出了离散区间系统分支渐近稳定性和指数分支渐近稳定性的定义。证明了离散区间系统是分支渐近稳定的 ,且仅当系统矩阵在每一时刻都将满足一个约束条件的系统状态向量变... 研究了离散区间系统的一种特殊形式的稳定性 ,即分支稳定性。分别给出了离散区间系统分支渐近稳定性和指数分支渐近稳定性的定义。证明了离散区间系统是分支渐近稳定的 ,且仅当系统矩阵在每一时刻都将满足一个约束条件的系统状态向量变换成满足另一个约束的向量。 展开更多
关键词 离散系统 区间系统 分支稳定性
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离散区间延迟系统分支稳定性
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作者 赵胜民 李文秀 《哈尔滨工程大学学报》 EI CAS CSCD 2002年第5期62-65,共4页
研究离散区间延迟系统的一种特殊形式的渐近稳定性.即分支渐近稳定性.证明了离散区间延迟系统分支渐近稳定的充要条件是系统矩阵在每一时刻都满足一定约束条件的系统状态向量变换成满足另一个约束的向量.由此给出了区间延迟系统分支渐... 研究离散区间延迟系统的一种特殊形式的渐近稳定性.即分支渐近稳定性.证明了离散区间延迟系统分支渐近稳定的充要条件是系统矩阵在每一时刻都满足一定约束条件的系统状态向量变换成满足另一个约束的向量.由此给出了区间延迟系统分支渐近稳定的充要条件. 展开更多
关键词 离散区延迟系统 分支稳定性 状态向量 判别条件 分支渐近稳定性
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Long-term stability analysis of large-scale underground plant of Xiangjiaba hydro-power station 被引量:3
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作者 徐卫亚 聂卫平 +3 位作者 周先齐 石崇 王伟 冯树荣 《Journal of Central South University》 SCIE EI CAS 2011年第2期511-520,共10页
Numerical analysis of the optimal supporting time and long-term stability index of the surrounding rocks in the underground plant of Xiangjiaba hydro-power station was carried out based on the rheological theory. Firs... Numerical analysis of the optimal supporting time and long-term stability index of the surrounding rocks in the underground plant of Xiangjiaba hydro-power station was carried out based on the rheological theory. Firstly,the mechanical parameters of each rock group were identified from the experimental data; secondly,the rheological calculation and analysis for the cavern in stepped excavation without supporting were made; finally,the optimal time for supporting at the characteristic point in a typical section was obtained while the creep rate and displacement after each excavation step has satisfied the criterion of the optimal supporting time. Excavation was repeated when the optimal time for supporting was identified,and the long-term stability creep time and the maximum creep deformation of the characteristic point were determined in accordance with the criterion of long-term stability index. It is shown that the optimal supporting time of the characteristic point in the underground plant of Xiangjiaba hydro-power station is 5-8 d,the long-term stability time of the typical section is 126 d,and the corresponding largest creep deformation is 24.30 mm. While the cavern is supported,the cavern deformation is significantly reduced and the stress states of the surrounding rock masses are remarkably improved. 展开更多
关键词 large-scale underground plant rheological mechanics optimal supporting time maximum creep deformation long-termstability long-term strength
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