Control schemes for stable teleoperation with communication delay based on IOS small gain theorem

The problem of stabilization of a force-reflecting telerobotic system in presence of time delay in the communication channel is addressed. We introduce an approach that is based on application of the input-to-output stability (IOS) small gain theorem for functional differential equations (FDEs). A version of the stabilization algorithm as well as its two adaptive extensions are proposed. For all these control schemes, the input-to-state stability (ISS) of the overall telerobotic system is guaranteed in the global, global practical, or semiglobal practical sense for any constant communication delay under the assumption that the environmental dynamics satisfy a weak form of finite-gain stability property. As an intermediate step, we formulate and prove a general IOS (ISS) small gain result for FDEs.     

基于孙子定理和欧拉函数口令验证方案

在介绍著名的孙子定理和欧拉函数的基础上,提出了一种新的口令验证方案。介绍了他的数学基础、原理和具体实现过程,进行了方案安全性和可操作性的分析。该方案简便、实用、存储量小、保密性和可操作性较强,克服了以往诸如基于拉格朗日多项式的口令验证方案等方案的缺点,适应于当今系统网络成员不断变化的情况,具有一定的理论和实践意义。     

一种二维金属电磁带隙结构的电磁传输特性

采用时域有限差分法与Floquet定理相结合，对由正方形金属柱构成的二维电磁带隙结构的传输特性进行了分析和计算，得到了不同频率的平面电磁波在不同角度入射时，该结构的传输参数及电磁特性。通过改变金属方柱的边长和间距，得到了电磁带隙结构的阻带中心频率的变化规律，进而得到了拟合公式，该公式计算结果与仿真结果间最大误差不超过2％，具有较好的可靠性和较高精度，可用于EBG结构的应用研究。     

两类脉冲Logistic方程的正周期解

证明了一类具有脉冲Logistic方程的正周期解存在的充要条件和全局吸引性,并讨论相应的具有脉冲和时滞的Logistic方程的正周期解存在性,推广了相应的结论。     

关于随机选择系统的Shannon-McMillan定理

将随机选择的概念引入Shannon-McMillan定理的研究，给出了离散无记忆信源关于随机选择系统的几乎必然Shannon—McMillan型定理，证明中给出了将测度的网微分法应用于强极限定理研究的一种途径.     

Superconductivity in Doped Systems Beyond Migdal''s Theorem

The basic system of equations for a theory of superconductivity in systems with a chaotically distributed paramagnetic impurity of substitution, in which Migdal theorem is violated (it cannot be supposed ₀ E _F), is presented. We take into account electron–phonon and impurity diagrams as well as supplement ones corresponding to intersection of electron–phonon and electron–impurity lines. Decrease of the quantity T _C with increase of impurity concentration is shown to weaken in comparison with the case of usual superconductors. Coefficient of isotope effect , energy gap, and order parameter at T = 0 are also calculated. Behavior of these quantities as a function of impurity concentration depends on Migdal's parameter m and transferred momentum q _c.     

2个新微分中值定理中间点的渐近性质

得取了２个新微分中值是中间点的渐近性质,主要结果为ｌｉｍｘ→ａ＋０ζ－ａ／ｘ－ａ＝１＋λ／３和ｌｉｍｘ→ａ＋０ζ－ａ／ｘ－ａ＝＾ｎ－２√２（１－λ＾ｎ－１）／（１－λ）ｎ（ｎ－１）。     

准晶弹性理论中的几个基本定理和守恒积分

目的推广经典晶体弹性理论中的几个基本定理到准晶弹性理论中去．方法推导中利用了准晶弹性理论的基本控制方程和高斯定理．结果与结论本文导出了准晶弹性理论中的虚功原理和Betti功互易定理等,证明了解的唯一性定理,并给出了准晶弹性理论中的一些守恒积分,如广义J-积分．当相位子场为零时,上述结论退化为经典弹性理论中的结论．