用广义胞映射研究参数不确定的多吸引子共存系统*

本文运用广义胞映射对具有参数不确定的多吸引子共存系统进行了分析,指出了参数不确定性对多吸引子共存系统全局特性的影响.并进一步得到可以通过各个吸引子的保护层厚度大小的比较,来判断随着不确定程度的增加,哪一个吸引子将要首先消失.     

On the multiple-attractor coexsting system with parameter uncertainties using generalized cell mapping method

In this paper the generalized cell mapping (GCM) method is used to study multiple-attractor coexisting system with parameter uncertainties. The effects that the uncertain parameters has on the global properties of the system are presented. And It is obtained that the attractor with much smaller value of protect thickness, will disappear firstly with the degree of the uncertainty of parameter increasing. Project supported by the National Natural Science Foundation of China (19672046)     

不确定度的教学实践

在５年教学实践的基础上,总结了在基础物理实验教学中引入不确定度的一些看法．对如何处理误差和不确定度的关系以及以合成标准不确定度为核心的教学方式作了说明．此外对应当注意和改进的一些相关问题也进行了讨论     

不确定混沌系统的直接自适应模糊神经网络控制

提出利用直接自适应模糊神经网络控制一类不确定非线性混沌系统新方法.采用Takagi-Sug eno模糊逻辑系统估计混沌对象中未知函数，然后再对模糊神经网络控制律参数进行在线调 整，在系统所有信号一致有界情形下，解决混沌状态跟踪给定参考轨道控制问题.仿真结果 表明所得结论是正确的. 关键词： 模糊神经网络 自适应控制 混沌 参数不确定性     

An interval perturbation method for exterior acoustic field prediction with uncertain-but-bounded parameters

This paper proposes two interval analysis methods, called the first-order interval parameter perturbation method (FIPPM) and the modified interval parameter perturbation method (MIPPM), for use in exterior acoustic field prediction when there are uncertainties in both the material properties and the external load. Interval variables are used to quantitatively describe the uncertain parameters in the face of limited information. The conventional first-order Taylor expansion and perturbation terms are employed in the FIPPM, while the MIPPM introduces modified Taylor series to approximate the non-linear interval matrix and vector. The high-order terms of the Neumann expansion are retained to calculate the interval matrix inverse. A numerical example is given by comparing the results with a Monte Carlo simulation to demonstrate the feasibility and effectiveness of the proposed methods at evaluating the sound pressure ranges in an exterior acoustic field.     

Patterns in Protein Flexibility: A Comparison of NMR “Ensembles”, MD Trajectories,and Crystallographic B-Factors

Proteins are molecular machines requiring flexibility to function. Crystallographic B-factors and Molecular Dynamics (MD) simulations both provide insights into protein flexibility on an atomic scale. Nuclear Magnetic Resonance (NMR) lacks a universally accepted analog of the B-factor. However, a lack of convergence in atomic coordinates in an NMR-based structure calculation also suggests atomic mobility. This paper describes a pattern in the coordinate uncertainties of backbone heavy atoms in NMR-derived structural “ensembles” first noted in the development of FindCore2 (previously called Expanded FindCore: DA Snyder, J Grullon, YJ Huang, R Tejero, GT Montelione, Proteins: Structure, Function, and Bioinformatics 82 (S2), 219–230) and demonstrates that this pattern exists in coordinate variances across MD trajectories but not in crystallographic B-factors. This either suggests that MD trajectories and NMR “ensembles” capture motional behavior of peptide bond units not captured by B-factors or indicates a deficiency common to force fields used in both NMR and MD calculations.     

Quantitative analysis of trace levels of surface contamination by X‐ray photoelectron spectroscopy. Part II: Systematic uncertainties and absolute quantification

We discuss analyses of trace levels of surface contamination using X‐ray photoelectron spectroscopy (XPS). The problem of quantifying common sources of statistical and systematic uncertainties for these measurements is formulated in terms of the needs of extreme ultraviolet lithography, but the results and conclusions are applicable to a broad range of XPS applications. We quantify the systematic uncertainties introduced by particular cases of overlapping peaks on different substrate structures by simulating measured spectra with the National Institute of Standards and Technology Database for the Simulation of Electron Spectra for Surface Analysis (SESSA). One example demonstrates that the relative atomic concentrations of trace elements such as S, P, and halogens on a Ru surface could be dramatically overestimated if the fitting of the overlapping Ru 3d and C 1s peaks excludes the contribution from carbon. We also show how spectra generated by SESSA can be compared with measured spectra to determine absolute amounts of surface impurities on layered samples of the type used for extreme ultraviolet lithography. We provide estimates of the total uncertainty for such measurements by considering the systematic limitations of SESSA and the statistical uncertainties of the measurements. The same procedure can be employed for other multilayered materials. Finally, we describe two approaches for converting XPS detection limits for an elemental impurity in an elemental matrix to the corresponding detection limits for the impurity as a thin film on the surface of the matrix material.     

模型不确定压电柔性结构的多目标振动控制

以压电柔性结构为对象,考虑其被控模态参数的不确定性和因剔除残余模态所引起的动态不确定性,建立了结构的不确定线性分式模型;根据不确定模型设计了一个对结构进行振动控制的动态输出反馈控制器,使闭环系统满足鲁棒稳定、扰动抑制、极点配置约束及控制输入约束等性能要求;并利用线性矩阵不等式,将具有多个性能要求的振动控制问题转化为具有线性矩阵不等式约束和线性目标函数的凸优化问题。最后以简支压电柔性梁为例,设计了一个融合多性能指标的动态输出反馈非同位控制器,并给出了仿真结果。     

Regional eigenvalue-clustering robustness of linear output feedback systems with both time-varying structured and unstructured uncertainties as well as nonlinear actuators

This paper investigates the regional eigenvalue-clusteringrobustness of linear output feedback systems with both time-varyingstructured (elemental) and unstructured (norm-bounded) parameteruncertainties as well as nonlinear actuators. A sufficient conditionis proposed for ensuring that all the eigenvalues of outputfeedback systems with both time-varying structured and unstructuredparameter uncertainties as well as nonlinear actuators remaininside the specified region. No restriction is imposed on theshapes of the specified region. The proposed method is applicableto both the continuous-time case and the discrete-time case.When all the eigenvalues are just required to locate in thestable region, the proposed criterion will become the stabilityrobustness criterion. Two numerical examples are given to illustratethe application of the proposed sufficient condition.     

Nonfragile Controller Design for Linear Markovian Jumping Parameters Systems

This paper deals with the uncertain class of continuous-time linear systems with Markovian jumping parameters. A design method for a nonfragile robust controller for this class of systems is proposed when the uncertainties in the system matrices are of the norm-bounded type. An LMI based sufficient condition is developed. The methodology used is based mainly on the Lyapunov approach. A numerical example is presented to show the usefulness of the proposed results.