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广义Oldroyd-B流体作MHD旋转流动时的精确解
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作者 T·哈亚特 S·翟贝 +3 位作者 S·阿斯哈 A·A·亨迪 吴承平 张禄坤 《应用数学和力学》 CSCD 北大核心 2012年第4期390-405,共16页
对充满多孔空间的广义Oldroyd-B流体,研究有滑移时磁流体动力学(MHD)的旋转流动.数学建模时采用了分式积分法.给出平板振荡和周期性压力梯度诱导的3个示例,并得到了每种情况下的精确解.比较了有滑移和没有滑移条件下两种情况的结果.曲... 对充满多孔空间的广义Oldroyd-B流体,研究有滑移时磁流体动力学(MHD)的旋转流动.数学建模时采用了分式积分法.给出平板振荡和周期性压力梯度诱导的3个示例,并得到了每种情况下的精确解.比较了有滑移和没有滑移条件下两种情况的结果.曲线图表表明,滑移对速度分布的影响是巨大的. 展开更多
关键词 滑移条件 精确解 分式积分
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全纯函数空间上几个量的等价刻画问题 被引量:1
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作者 唐鹏程 张学军 吕睿昕 《数学物理学报(A辑)》 CSCD 北大核心 2019年第6期1291-1299,共9页
该文改进了多复变量单位球上一个常用函数在分式型微分和分式型积分作用后的表达式.同时该文改进了两个全纯函数空间上分式型微分的等价范数,去掉了等价范数中分式型微分R^s,t和R^β,t的约束条件β=s+N,其中N为某正整数.
关键词 分式型导数 分式积分 等价刻画 单位球
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State feedback control for Lurie networked control systems 被引量:1
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作者 陈刚 朱红求 +1 位作者 阳春华 胡春华 《Journal of Central South University》 SCIE EI CAS 2012年第12期3510-3515,共6页
The problem of the stability analysis and controller design which the network-induced delays and data dropout problems network-induced delays are assumed to be time-varying and bounded, for Lurie networked control sys... The problem of the stability analysis and controller design which the network-induced delays and data dropout problems network-induced delays are assumed to be time-varying and bounded, for Lurie networked control systems (NCSs) is investigated, in are simultaneously considered. By considering that the and analyzing the relationship between the delay and its upper bound, employing a Lyapunov-Krasovskii function and an integral inequality approach, an improved stability criterion for NCSs is proposed. Furthermore, the resulting condition is extended to design a less conservative state feedback controller by employing an improved cone complementary linearization (ICCL) algorithm. Numerical examples are provided to show the effectiveness of the method. 展开更多
关键词 networked control systems stability and stabilization network-induced delay cone complementary linearizationalgorithm
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Robust user equilibrium model based on cumulative prospect theory under distribution-free travel time 被引量:3
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作者 王伟 孙会君 吴建军 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第2期761-770,共10页
The assumption widely used in the user equilibrium model for stochastic network was that the probability distributions of the travel time were known explicitly by travelers. However, this distribution may be unavailab... The assumption widely used in the user equilibrium model for stochastic network was that the probability distributions of the travel time were known explicitly by travelers. However, this distribution may be unavailable in reality. By relaxing the restrictive assumption, a robust user equilibrium model based on cumulative prospect theory under distribution-free travel time was presented. In the absence of the cumulative distribution function of the travel time, the exact cumulative prospect value(CPV) for each route cannot be obtained. However, the upper and lower bounds on the CPV can be calculated by probability inequalities.Travelers were assumed to choose the routes with the best worst-case CPVs. The proposed model was formulated as a variational inequality problem and solved via a heuristic solution algorithm. A numerical example was also provided to illustrate the application of the proposed model and the efficiency of the solution algorithm. 展开更多
关键词 user equilibrium cumulative prospect theory distribution-free travel time variational inequality
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