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区间动力系统的离散稳定性
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作者 梅正阳 陈水林 《应用数学》 CSCD 1997年第2期123-124,共2页
本文获得了一般非对称区间动力系统的离散稳定的充分判据,改进了文[3,5]的有关结果.
关键词 区间动力系统 区间矩阵 离散稳定 动力系统
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离散动态系统稳定与不稳定的简捷判据 被引量:2
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作者 韩金舫 王清印 李永伟 《系统工程与电子技术》 EI CSCD 北大核心 2004年第9期1254-1256,1326,共4页
运用矩阵特征值分析技巧研究了区间矩阵及一类离散动态系统的稳定性问题。在无需任何附加条件的情况下,仅用区间矩阵的界阵元素给出了一般区间矩阵及离散动态系统混合稳定、渐进(离散)稳定与不稳定的简便代数判据(含充分条件、必要条件... 运用矩阵特征值分析技巧研究了区间矩阵及一类离散动态系统的稳定性问题。在无需任何附加条件的情况下,仅用区间矩阵的界阵元素给出了一般区间矩阵及离散动态系统混合稳定、渐进(离散)稳定与不稳定的简便代数判据(含充分条件、必要条件与充要条件),弃掉了对区间矩阵的下(上)界阵为非负(正)的条件要求。相对于现存结果,提出判据不仅明显具有普适性强实用范围广且保守性小的特性,而且还涵盖了一些原有的稳定性判据。 展开更多
关键词 离散动态系统 渐近稳定 特征值分析 区间矩阵 离散稳定 混合稳定
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有源滤波器LCL并联虚拟阻尼控制策略及离散域稳定性分析 被引量:10
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作者 侯睿 武健 徐殿国 《电力系统自动化》 EI CSCD 北大核心 2015年第4期116-122,共7页
有源滤波器LCL滤波系统存在谐振,需要引入阻尼。通过对比分析,发现当有源滤波器采用电流定时比较控制时,滤波电容并联虚拟阻尼策略最为适宜。该策略检测滤波电容的谐波电压,通过比例环节等效于电容并联虚拟谐波电阻,增强系统的阻尼作用... 有源滤波器LCL滤波系统存在谐振,需要引入阻尼。通过对比分析,发现当有源滤波器采用电流定时比较控制时,滤波电容并联虚拟阻尼策略最为适宜。该策略检测滤波电容的谐波电压,通过比例环节等效于电容并联虚拟谐波电阻,增强系统的阻尼作用,整个策略实现简单且避免了微分运算。通过建立离散域的数学模型,根据朱利稳定性判据求得虚拟阻尼系数的稳定域条件:即采样频率需大于滤波器谐振频率的6倍,以保证系统的稳定性;进而,系统的稳定域随采样频率的提高而增大,随滤波器谐振频率或滤波器网侧总电感值的增大而减小。仿真和实验分析证明了所提出的虚拟阻尼策略及理论分析的正确性。 展开更多
关键词 有源滤波器 LCL滤波器 虚拟阻尼 离散稳定
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有限容积法对流项离散格式的稳定性与有界性研究 被引量:1
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作者 宇波 焦开拓 +4 位作者 陈宇杰 李敬法 邓雅军 王鹏 孙东亮 《西安交通大学学报》 EI CAS CSCD 北大核心 2023年第4期107-121,共15页
对于流动传热问题,控制方程对流项处理不当会导致模拟结果出现无物理意义的振荡或越界现象。针对有限容积法对流项离散格式的稳定性和有界性开展深入研究,并提出了一种新的高阶有界格式。在对流项离散格式稳定性方面,指出在均分网格条件... 对于流动传热问题,控制方程对流项处理不当会导致模拟结果出现无物理意义的振荡或越界现象。针对有限容积法对流项离散格式的稳定性和有界性开展深入研究,并提出了一种新的高阶有界格式。在对流项离散格式稳定性方面,指出在均分网格条件下,边界相邻节点的对流稳定性条件与内部节点不同,并给出了边界相邻节点处常见对流项离散格式的稳定性条件;指出绝对稳定的SGSD格式权重系数计算方法不唯一,并给出了两种适合于强对流问题的权重系数表达式。在对流项离散格式有界性方面,提出了高阶有界格式的通用分段线性形式——GHB格式(general high-order bounded scheme),可提高程序的通用性;高阶有界格式计算精度、收敛速率和健壮性等性能互相制约,根据规正变量图中不同区域线型对这些性能的影响,提出了含有两个可调参数的性能可控的高阶有界格式——AHB格式(adjustable high-order bounded scheme);在此基础上,通过优化参数得到了计算精度、有界性、收敛速率和健壮性兼顾的ABC格式(accuracy,boundedness and convergence rate-balanced scheme),并通过多个典型算例验证了该格式计算性能。 展开更多
关键词 对流项离散格式的稳定 对流项离散格式的有界性 SGSD格式 通用高阶有界格式 ABC格式
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基于离散非稳定状态马尔可夫链和t-Copula的零售住房抵押贷款压力测试
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作者 王筠权 郭敏 刘畅 《金融监管研究》 2012年第3期21-42,共22页
本文采用商业银行真实数据,建立离散非稳定状态马尔可夫链模型,研究零售住房贷款的风险迁徙概率,度量并预测商业银行零售住房贷款风险分布状况。根据该风险模型,我们通过多元t-Copula蒙特卡罗模拟,估算了银行零售住房抵押贷款在极端宏... 本文采用商业银行真实数据,建立离散非稳定状态马尔可夫链模型,研究零售住房贷款的风险迁徙概率,度量并预测商业银行零售住房贷款风险分布状况。根据该风险模型,我们通过多元t-Copula蒙特卡罗模拟,估算了银行零售住房抵押贷款在极端宏观风险因子冲击下的贷款风险分布状况和银行抗击风险的能力。研究结果显示,我国商业银行能够抵御轻度和中度的宏观经济因子的冲击,但仍需采取必要风险缓释措施抵御重度冲击。在宏观经济总体向好但仍有诸多不确定性的情况下,上述研究方法与结论对业界和监管层有着重要的警示与借鉴意义。 展开更多
关键词 离散稳定状态马尔可夫链 压力测试 零售住房抵押贷款 风险迁徙概率
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地基雷达干涉测量的环境改正方法研究 被引量:18
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作者 徐亚明 周校 +1 位作者 王鹏 邢诚 《大地测量与地球动力学》 CSCD 北大核心 2013年第3期41-43,51,共4页
地基雷达常采用高频信号作为传播信号,而高频信号易受大气影响,利用地基雷达干涉测量技术进行高精度目标变形监测时,为获取优于毫米级的监测精度需对雷达信号进行环境改正。针对小范围场景提出一种基于离散稳定点的全局环境改正方法,实... 地基雷达常采用高频信号作为传播信号,而高频信号易受大气影响,利用地基雷达干涉测量技术进行高精度目标变形监测时,为获取优于毫米级的监测精度需对雷达信号进行环境改正。针对小范围场景提出一种基于离散稳定点的全局环境改正方法,实验证明该方法可优化测量结果。 展开更多
关键词 地基雷达 SF-CW 干涉测量 环境改正 离散稳定
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Hetero-metallic lithiophilic sites to assist sustained diffusion-deposition of Li^(+) toward stable lithium metal anodes
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作者 HUANG Shao-zhen HE Pan +2 位作者 YU Hua-ming LI Hui-miao CHEN Li-bao 《Journal of Central South University》 CSCD 2024年第12期4437-4448,共12页
Lithium metal stands out as an exceptionally promising anode material,boasting an extraordinarily high theoretical capacity and impressive energy density.Despite these advantageous characters,the issues of dendrite fo... Lithium metal stands out as an exceptionally promising anode material,boasting an extraordinarily high theoretical capacity and impressive energy density.Despite these advantageous characters,the issues of dendrite formation and volume expansion of lithium metal anodes lead to performance decay and safety concerns,significantly impeding their advancement towards widespread commercial viability.Herein,a lithium-rich Li-B-In composite anode with abundant lithophilic sites and outstanding structural stability is reported to address the mentioned challenges.The evenly distributed Li-In alloy in the bulk phase of anodes act as mixed ion/electron conductors and nucleation sites,facilitating accelerated Li ions transport dynamics and suppressing lithium dendrite formation.Additionally,these micron-sized Li-In particles in LiB fibers framework can enhance overall structural integrity and provide sufficient interior space to accommodate the volume changes during cycling.The electrochemical performance of Li-B-In composite anode exhibits long-term cyclability,superior rate performance and high-capacity retention.This work confirms that the synergy between a 3 D skeleton and hetero-metallic lithiophilic sites can achieve stable and durable lithium metal anodes,offering innovative insights for the practical deployment of lithium metal batteries. 展开更多
关键词 lithium metal anodes lithiophilic sites intermetallic phase enhanced structural stability fast ion diffusion
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巴东县城白土坡裂隙岩体等效渗透系数数值分析 被引量:2
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作者 简文星 丁志雷 李世金 《水文地质工程地质》 CAS CSCD 北大核心 2015年第3期64-70,共7页
对三峡库区巴东县城白土坡岩体的裂隙进行了详细的野外调研与系统测量,根据裂隙网络模拟技术Monte Carlo法,使用VB语言编制了裂隙网络计算模型生成程序,对白土坡岩体的裂隙分布进行网络模拟。将裂隙网络模拟成果导入离散元稳定流渗流分... 对三峡库区巴东县城白土坡岩体的裂隙进行了详细的野外调研与系统测量,根据裂隙网络模拟技术Monte Carlo法,使用VB语言编制了裂隙网络计算模型生成程序,对白土坡岩体的裂隙分布进行网络模拟。将裂隙网络模拟成果导入离散元稳定流渗流分析模块(UDEC),生成裂隙网络数值模型,通过对模型周边设置定水头边界并提取边界上裂隙的流量,然后根据立方定理和Darcy定律对白土坡岩体的等效渗透系数进行了求解分析。数值分析结果表明:巴东县城白土坡裂隙岩体等效渗透特征单元体REVK=20 m×20 m;等效主渗透系数最大值为K1=1.15×10-4m/s,最小主渗透系数为K2=8×10-6m/s;主渗方向与岸坡倾向水平反方向的夹角为-40°左右。 展开更多
关键词 白土坡 裂隙网络 表征单元体REVK 等效渗透系数 离散稳定流渗流分析
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Mechanical response and stability analysis of rock mass in high geostress underground powerhouse caverns subjected to excavation 被引量:20
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作者 LI Biao DING Quan-fu +4 位作者 XU Nu-wen LEI Yi-fan XU Yuan ZHU Zhong-ping LIU Jing-fei 《Journal of Central South University》 SCIE EI CAS CSCD 2020年第10期2971-2984,共14页
To investigate the stability of rock mass in high geostress underground powerhouse caverns subjected to excavation,a microseismic(MS)monitoring system was established and the discrete element method(DEM)-based numeric... To investigate the stability of rock mass in high geostress underground powerhouse caverns subjected to excavation,a microseismic(MS)monitoring system was established and the discrete element method(DEM)-based numerical simulation was carried out.The tempo-spatial damage characteristics of rock mass were analyzed.The evolution laws of MS source parameters during the formation of a rock collapse controlled by high geostress and geological structure were investigated.Additionally,a three-dimensional DEM model of the underground powerhouse caverns was built to reveal the deformation characteristics of rock mass.The results indicated that the MS events induced by excavation of high geostress underground powerhouse caverns occurred frequently.The large-stake crown of the main powerhouse was the main damage area.Prior to the rock collapse,the MS event count and accumulated energy release increased rapidly,while the apparent stress sharply increased and then decreased.The amount and proportion of shear and mixed MS events remarkably increased.The maximum displacement was generally located near the spandrel areas.The MS monitoring data and numerical simulation were in good agreement,which can provide significant references for damage evaluation and disaster forecasting in high geostress underground powerhouse caverns. 展开更多
关键词 high geostress underground powerhouse caverns microseismic monitoring discrete element modelling stability analysis
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Consensus and formation control of discrete-time multi-agent systems 被引量:6
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作者 王婧 年晓红 王海波 《Journal of Central South University》 SCIE EI CAS 2011年第4期1161-1168,共8页
Consensus problems for discrete-time multi-agent systems were focused on. In order to design effective consensus protocols, which were aimed at ensuring that the concerned states of agents converged to a common value,... Consensus problems for discrete-time multi-agent systems were focused on. In order to design effective consensus protocols, which were aimed at ensuring that the concerned states of agents converged to a common value, a new consensus protocol for general discrete-time multi-agent system was proposed based on Lyapunov stability theory. For discrete-time multi-agent systems with desired trajectory, trajectory tracking and formation control problems were studied. The main idea of trajectory tracking problems was to design trajectory controller such that each agent tracked desired trajectory. For a type of formation problem with fixed formation structure, the formation structure set was introduced. According to the formation structure set, each agent can track its individual desired trajectory. Finally, simulations were provided to demonstrate the effectiveness of the theoretical results. The mlmerical results show that the states of agents converge to zero with consensus protocol, which is said to achieve a consensus asymptotically. In addition, through designing appropriate trajectory controllers, the simulation results show that agents converge to the desired trajectory asymptotically and can form different formations. 展开更多
关键词 multi-agent system CONSENSUS trajectory tracking FORMATION
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Stabilization of a class of nonlinear discrete time systems with time varying delay
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作者 Maryam Fattahi Nastaran Vasegh Hamid Reza Momeni 《Journal of Central South University》 SCIE EI CAS 2014年第10期3769-3776,共8页
The stability and stabilization of a class of nonlinear discrete time delayed systems(NDTDS) with time-varying delay and norm-bounded nonlinearity are investigated. Based on discrete time Lyapunov–Krasovskii function... The stability and stabilization of a class of nonlinear discrete time delayed systems(NDTDS) with time-varying delay and norm-bounded nonlinearity are investigated. Based on discrete time Lyapunov–Krasovskii functional method, a sufficient delaydependent condition for asymptotic stability of nonlinear systems is offered. Then, this condition is used to design a new efficient delayed state feedback controller(DSFC) for stabilization of such systems. These conditions are in the linear matrix inequality(LMI) framework. Illustrative examples confirm the improvement of the proposed approach over the similar cases. Furthermore, the obtained stability and stabilization conditions will be extended to uncertain discrete time delayed systems(UDTDS) with polytopic parameter uncertainties and also with norm-bounded parameter uncertainties. 展开更多
关键词 nonlinear discrete time delayed systems Lyapunov–Krasovskii functional delayed state feedback linear matrix inequality(LMI) polytopic parameter uncertainties norm bounded parameter uncertainties
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