关于随机微分系统的M_0—稳定性

本文的目的是将确定性常微系统的M_0—稳定性概念与结果,推广到一般随机微分系统.然后,利用这些结果来研究随机受扰确定性系统M_0—稳定性的条件;借助未受扰确定性系统的Lynpunov一型函数及比较方法,得到了随机受扰系统M_0—几乎必然一致渐近稳定性与M_0—p阶矩一致渐近稳定性的充分条件.     

扰动对天敌有多食性模型稳定性的影响

本文主要讨论了扰动对天敌具有多食性模型 x_1=x_1(r_1-a_1y), x_2=x_2(r_2-a_2y), y=y(-r_3+b_1x_1+b_2x_2)稳定性的影响。利用Liapunov函数得到了昆虫种类内部的密度制约,将促使昆虫与天敌系统进一步稳定化,进而得出同一食饵水平上的竞争是不稳定化的结论。其中后一种情况与J.M,Smith的结论完全一致。     

OFG29桩架的稳定性计算分析

介绍了CFG29桩架的设计参数，同时对其稳定性进行了分析计算，对同类桩架的设计有参考价值。     

市场的稳定性取决于人心

传统的市场经济的金科玉律——供求关系影响价格,价格围绕价值上下波动,使许多人误认为市场的稳定性也是由供求关系或价格决定。但是利用蛛网模型可得出结论:市场的稳定性取决于人心,即人们对商品的敏感程度。     

一类多步Runge-Kutta方法的保单调性

在对步长作了一定的限制下研究了一类多步Runge-Kutta方法的保单调性,并得到了此类多步Runge-Kutta方法的保单调的充分条件,最后给出了试验方程y′=λ(t)y的情况.     

空间结构热-动力学耦合系统稳定性的有限元分析

针对在轨航天器柔性附件的热-动力学耦合系统,提出了一种稳定性分析有限元方法。该系统的状态方程既包括考虑辐射换热且耦合了结构变形的非线性瞬态热传导方程,也包括与瞬态温度场相联系的结构动力学方程。由于结构变形对于受热条件的耦合影响以及辐射换热的存在,该系统具有高度非线性。借助于非线性振动理论,给出了系统热诱发振动的稳定性准则。针对不同的结构,可以计算出不同的运动稳定边界,该边界将参数空间分成了稳定区域和不稳定区域。对哈勃太空望远镜太阳帆板进行了稳定性分析,该方法所得数值解与文献结果一致。对更为复杂的卫星天线,用该方法给出其发生热颤振的参数条件,探讨了结构参数、加热条件对其热-动力学耦合系统稳定性的影响。     

A Novel Polymethyl Methacrylate （PMMA）TiO2 Nanocomposite and Its Thermal and Photic Stability

A new kind of polymethyl methacrylate （PMMA）-TiO2 nanocomposite was synthesized through polymerization. The thermal and photic stability of this PMMA TiO2 nanocomposites were investigated. The as prepared samples were characterized by scanning electron microscopy （SEM）, UV-Vis spectroscopy, differential thermal analysis （DTA） and the photo-induced weight loss, The results show that the photostability of the PMMA-TiO2 nanocomposite is higher than that of the pure PMMA under UV-light irradiation, The weight loss of the pure PMMA reaches 30 % after 300 h UVirradiation, while the composite only 0.3% under the identical experimental condition. The glass transition temperature （TR） of pure PMMA is only 80℃, while the Tg of the composite reaches 258℃. Compared with pure PMMA, the thermal stability of the composite is greatly enhanced.     

PEAK COVARIANCE STABILITY OF A RANDOM RICCATI EQUATION ARISING FROM KALMAN FILTERING WITH OBSERVATION LOSSES

We consider the stability of a random Riccati equation with a Markovian binary jump coefficient. More specifically, we are concerned with the boundedness of the solution of a random Riccati difference equation arising from Kalman filtering with measurement losses. A sufficient condition for the peak covariance stability is obtained which has a simpler form and is shown to be less conservative in some cases than a very recent result in existing literature. Furthermore, we show that a known sufficient condition is also necessary when the observability index equals one.