具有结构不确定性的线性系统的鲁棒稳定性分析

本文基于一种非线性向量幂变换将结构不确定线性系统的鲁棒稳定性问题转化成相应参数矩阵的非奇异性问题，得到了保证系统鲁棒稳定的充分条件，以及保证系统稳定的参数允许界．本文考虑了摄动矩阵结构上的特点，使得系统的鲁棒稳定区域大大扩大，最后通过实例和已有结果进行了比较．

用正电子寿命谱研究铋系超导体的结构不稳定性

室温下测量了铋系２２１２相超导体的正电子寿命参数随时间的变化，发现正电子寿命、平均寿命和体寿命都随着时间的延长而减小．直到１３０天以后各个正电子寿命参数才稳定。这说明氧化物超导体即使在室温下也是不稳定的。对由这种结构不稳定性引起的样品的电子结构。

一类P(e^z)型动力系统的结构不稳定性

本文研究满足某种条件的 P( ez)型动力系统 .我们证明了这类系统的动力结构是不稳定的 .

带有非线性不确定参数的线性时滞系统的鲁棒稳定性

研究一类带有非线性不确定参数的线性时滞系统的鲁棒稳定性问题,针对不确定矩阵满足非结构不确定性、强结构不确定性、矩阵多胞形结构不确定性等情形,利用Lyapunov方法、不等式技巧及线性矩阵不等式,获得该系统渐近稳定的一系列充分条件。

不稳定结构鞋具的运动生物力学研究进展

不稳定结构鞋具的使用改变了人体运动系统的动力学、运动学和肌肉群的运动强度,使运动系统更加充分的调动。大量的生物力学实验已证实,不稳定结构的鞋具可以对人体下肢运动系统进行改变。本文较完善的总结了近期国内外研究文献对于不稳定鞋具的功能论证,探讨了各种不稳定结构设计的鞋具在加强肌肉力量训练、改善运动稳定和损失预防的不同效果。对于长期穿着稳定结构鞋具的人群,为其运动习惯的变化提供了一种有效途径。

电子束辐照下单壁碳纳米管的结构不稳定性

利用透射电镜(TEM)原位观察了一端固定一端自由和两端固定的单壁碳纳米管(SWNT(s))在电子束辐照下的结构不稳定性。研究发现,一端固定一端自由的SWNT优先轴向和径向收缩后颈缩,最后形成一个个碳笼紧密相连的收缩结构("碳笼-碳笼"结构);两端固定的SWNT仅径向收缩后颈缩,最后形成许多碳笼相连的类似结构。此外,后者在电子束辐照下断开后又会重新粘合起来,表现出很强的表面塑性流变或湿润效应。这些电子束辐照诱导SWNTs非热激活结构不稳定性现象可以用我们最近提出的表面纳米曲率效应和能量束超快诱导软模和点阵失稳进行全新、全面、正确的解释。

天然地震形成的一种机制:地壳结构不稳定性

对于天然地震的成因研究多关注于板块相互作用以及流体、断裂等因素.震区地壳结构本身的不稳定性是发生地震的重要因素.伽师地区位于塔里木盆地西端,为塔里木地块、天山造山带、西昆仑造山带、帕米尔构造结的交接部位,具有典型的地壳结构不稳定性,地震频发.地震宽角反射/折射、近垂直反射等地震资料显示伽师地区地壳结构具有特殊的不稳定性.地震宽角反射/折射资料提供了盆地约75 km以上的二维速度结构剖面,地壳速度结构较为复杂,可以识别出高速块体和低速块体相间与堆叠的形态.近垂直地震反射剖面展示了20 s双程到时深度以上更为精细的结构特征,盆地盖层为成层性较好的反射,反射事件C,D构成了地壳之下的稳定带,而反射事件A,B,E则为地壳不稳定结构.建立了伽师地区地壳结构不稳定性的模型,地壳高速块、低速块(即刚性强、弱)相间并堆叠构成的不稳定带置于反射事件C,D构成的稳定带之上,挤压作用与近垂直的隐伏断裂加剧了这种不稳定性.地壳结构不稳定是导致天然地震的重要因素,同样表现存在于日本列岛以及鄂尔多斯盆地等地.

资本结构不稳定性研究评述与展望

Modigliani和Miller在1958年提出了MM理论,揭开了现代企业资本结构理论研究的新篇章,而关于资本结构是稳定还是非稳定的研究一直是学术界研究的重点,同时也是一个颇有争议的话题。为把握该领域的研究动态,本文基于资本结构理论,对MM理论,权衡理论,啄序理论等相关理论进行系统化的梳理与评述,最后对资本结构不稳定性的相关研究提出展望。

原位观察电子束辐照下双壁碳纳米管的不稳定性

室温下利用高分辨透射电子显微镜原位观察了两端固定和一端固定、另一端自由的双壁碳纳米管在电子束辐照下的结构不稳定性.实验发现,在相同辐照条件下,两端固定的双壁碳纳米管首先径向持续均匀收缩,然后局部颈缩,最后在颈缩处断裂;一端固定、另一端自由的双壁碳纳米管轴向长度持续快速缩小,而径向收缩相对缓慢.我们利用最近提出的表面纳米曲率效应和能量束诱导非热激活效应基础上新发展的碳原子"融蒸"和"扩散"机制,对上述电子束辐照下双壁碳纳米管结构不稳定现象进行了全新、合理的解释.

聚合物纳米粒子界面限域结晶连续化制备大面积MOFs杂化膜

金属有机框架(MOFs)作为一种新型结晶性多孔材料,具有高的比表面积和可调控的孔道结构,逐渐被用于制备高性能分离膜.近年来,已有大量的研究报道采用不同方法制备MOFs膜,其对溶液体系中物质的分离表现出高渗透性和分离选择性.然而,由于MOFs成膜结晶过程通常难以控制,易产生晶界缺陷,膜层较厚(一般为几百纳米至几微米);同时,MOFs结晶材料固有脆性以及在水溶液中结构不稳定性等问题,极大限制了MOFs分离膜的规模化制备及其在水溶液分离体系中应用.

人体动脉瘤生成与破裂的力学分析

在大变形超弹性理论框架下研究了内压、轴向拉伸和扭转联合作用下人体动脉壁的力学响应,应用结构不稳定性理论对动脉瘤生成的可能性进行了解释,应用材料强度理论对动脉瘤破裂的可能性进行了分析.考虑动脉壁中残余应力和平滑肌主动作用的影响,用纤维加强各向异性不可压超弹性复合材料两层厚壁圆筒模型来模拟动脉壁的力学特性.给出了正常和几种非正常状态下动脉壁的变形曲线和应力分布.变形和稳定性分析结果表明该文模型可以模拟正常状态下动脉壁的均匀变形,还可以模拟在动脉壁中弹性蛋白纤维和胶原蛋白纤维强度降低的非正常状态下动脉瘤生成的可能性及动脉瘤的增长.应力和强度分析结果表明该文模型可以模拟当动脉瘤中的最大应力超过管壁的强度时动脉瘤破裂的可能性.

细菌hok/sok解离后致死系统研究进展

由于编码特定基因的重组质粒增加了细胞本身的代谢负担,因此,含有质粒的重组菌通常不稳定。质粒不稳定性（Plasnid instability）,包括分离不稳定性（Segregational instability）和结构不稳定性（Structural instability）两个方面,其中质粒的分离不稳定性是质粒不稳定性的主要因素。一旦丢失外源质粒,细胞将迅速增长，

Instability characteristics of the cracked roof rock beam under shallow mining conditions

To establish the movement relationship for the roof breaking under shallow mining conditions, the mechanical model of the roof rock beam was built, then the structure instability process of the roof rock beam was analyzed. The changing criterion of the vertical displacement was established and the relationship between the deflection and the rotary motion of roof block was determined. Regarding a mining face in Shangwan Mine, the responsing laws of the deflection and horizontal thrust of the roof rock beam were obtained through FLAC3D numerical analysis. The results show that the structure instability of the cracked roof rock beam depends on the interaction between the vertical load and the horizontal thrust.For the roof rock beam, when the vertical load keeps constant, the horizontal thrust fluctuating rises with increasing deflection. The horizontal thrust increases constantly with the deeper buried depth and the smaller span.

Features of trinucleotide repeat instability in vivo

Unstable repeats are associated with various types of cancer and have been implicated in more than 40 neurode-generative disorders. Trinucleotide repeats are located in non-coding and coding regions of the genome. Studies of bacteria, yeast, mice and man have helped to unravel some features of the mechanism of trinucleotide expansion. Looped DNA structures comprising trinucleotide repeats are processed during replication and/or repair to generate deletions or expansions. Most in vivo data are consistent with a model in which expansion and deletion occur by different mechanisms. In mammals, microsatellite instability is complex and appears to be influenced by genetic, epigenetic and developmental factors.

Instability mechanism and control technology of soft rock roadway affected by mining and high confined water

Based on deformation and failure characteristics of the second belt conveyor roadway at level II of Zhuxianzhuang coal mine, laboratory experiments, numerical calculation and field test were adopted to analyze the composition and microstructure of mudstone, the law of mudstone hydration and its strength weakening induced by water, the characteristics of surrounding rock deformation and failure under the action of confined water. Results showed that montmorillonite clay minerals accounted for as much as 76% of mudstone, with a large number of pores existing in the microstructure. Besides, as the molecular structure of montmorillonite changed, mudstone microstructure damage occurred with the macroscopic manifestation of its theological instability. Weakening degree of confined water on residual strength of mudstone was almost 50%. The instability mechanism of soft rock roadway caused by high confined water is that surrounding rock circulates the process of ＂fracture-seepage-mud ding-closed＂ twice, which weakens its strength and leads to roadway instability. A combined support technology, namely the, ＂high-toughness sealing layer ＋ hollow grouting cables ＋ full-length anchoring bolts with deep borehole＂ was proposed. Based on field observation, the soft rock roadway was controlled effectively, which also verified the effectiveness of new control technology for surrounding rock.

Investigation of effective dimensionless numbers on initiation of instability in combustion of moisty organic dust

In this work, the effect of various effective dimensionless numbers and moisture contents on initiation of instability in combustion of moisty organic dust is calculated. To have reliable model, effect of thermal radiation is taken into account. One- dimensional flame structure is divided into three zones： preheat zone, reaction zone and post-flame zone. To investigate pulsating characteristics of flame, governing equations are rewritten in dimensionless space-time （（, r/, ~） coordinates. By solving these newly achieved governing equations and combining them, which is completely discussed in body of article, a new expression is obtained. By solving this equation, it is possible to predict initiation of instability in organic dust flame. According to the obtained results by increasing Lewis number, threshold of instability happens sooner. On the other hand, pulsating is postponed by increasing Damk6hler number, pyrolysis temperature or moisture content. Also, by considering thermal radiation effect, burning velocity predicted by our model is closer to experimental results.

Control Lyapunov Stabilization of Nonlinear Systems with Structural Uncertainty

This paper deals with global stabilization problem for the nonlinear systems with structural uncertainty. Based on control Lyapunov function, a sufficient and necessary condition for the globally and asymptotically stabilizing the equailibrium of the closed system is given. Moreovery, an almost smooth state feedback control law is constructed. The simulation shows the effectiveness of the method.

Stabilization of nonlinear systems based on robust control Lyapunov function

This paper deals with the robust stabilization problem for a class of nonlinear systems with structural uncertainty. Based on robust control Lyapunov function, a sufficient and necessary condition for a function to be a robust control Lyapunov function is given. From this condition, simply sufficient condition for the robust stabilization （robust practical stabilization） is deduced. Moreover, if the equilibrium of the closed-loop system is unique, the existence of such a robust control Lyapunnv function will also imply robustly globally asymptotical stabilization. Then a continuous state feedback law can be constructed explicitly. The simulation shows the effectiveness of the method.

β型烧绿石氧化物超导体AOs_2O_6(A=K,Rb)的声子软化与超导电性

运用基于密度泛函理论的第一性原理计算方法,研究两种β型烧绿石氧化物超导体AOs_2O_6(A=K,Rb)的结构稳定性,声子软化以及与超导电性的关系.通过计算发现,AOs_2O_6中碱金属原子A(=K,Rb)沿〈111〉晶向具有不稳定性,且以K原子的不稳定性更为突出.同时,计算得到的KOs2_O_6在布里渊区中心的卢子频率普遍比RbOs_2O_6的低,使得KOs_2O_6的电声子耦合常数比RbOs_2O_6的大.本文计算结果表明,较小的碱金属原子K位于较大的氧笼子中,活动性较强,导致声子的软化,是引起KOs_2O_6具有较强的电声子耦合及较高的超导转变温度的根本原因.这些结果对解释两种β型烧绿石氧化物超导体AOs_2O_6(A=K,Rb)的超导电性具有重要意义.

The dynamic stability of the flow in a meander channel

The meander channel is one of the most common channel patterns in nature.The characteristics of the flow and sediment in a meander channel which have significant effect on the development of watercourse are important subjects in river dynamics.The transition of the flow patterns in a meander channel concerns with the development mode of the channel pattern and the river regime including the generation conditions of the three-dimensional coherent vortex and secondary flow,the hierarchical scale of coherent vortex in different flow conditions,the large-scale turbulent eddy structure adapted to a meander,etc.In this paper we study the laminar flow instability of the two-dimensional channel in a meander channel.It is essentially different from that in a straight channel:The neutral curve will move forward and the critical Reynolds number will decrease.The flow is unstable in response to a wider range of the disturbance wave number,or the laminar flow instability can happen more easily.The above results could not be obtained in the traditional hydrodynamic stability theory so that our work in this paper would make up for the deficiency and blank in this aspect.