Optimal Control of Switching Times in Switched Stochastic Systems

In this paper, we solve an optimal control problem for switched stochastic systems using calculus of variations, where the objective is to minimize a cost functional defined on the state and the switching times are the sole control variables. In particular, we focus on the problem in which a pre‐specified sequence of active subsystems is given. For one switching time case, the derivative of the cost functional with respect to the switching time is derived, which has an especially simple form and can be directly used in gradient descent algorithms to locate the optimal switching instant. Then, we propose an approach to deal with the problem with multi‐switching times case. Finally, two numerical examples are given, highlighting the viability and advantages of the proposed methodology.     

基于拉普拉斯分值和超球支持向量机的轴承故障诊断方法设计

针对轴承振动信号中的故障信息往往很微弱,同时振动样本数据分布不平衡即故障样本占总样本数的比例低,从而导致故障诊断模型训练不精确而影响诊断精度的问题,提出了一种基于拉普拉斯分值和超球大间隔支持向量机的故障诊断方法;首先,采用有标签的训练样本数据和拉普拉斯分值法提取原始振动信号中的微弱故障信息,并降低其数据维数,从而得到用于故障诊断的特征向量,然后设计了一种改进的超球大间隔支持向量机的故障诊断模型,通过最小化超球体积和最大化超球边界和故障样本之间的间隔来实现故障诊断,以解决样本的不均衡问题,最终通过将测试样本数据代入决策方程并通过投票机制确定其故障类别;在Matlab环境下对轴承故障诊断进行实验,实验结果证明了文中方法能有效解决样本的不均衡情况下的故障诊断,且相对其它方法,具有诊断精度高和收敛速度快的优点.     

Mbius-invariant curve and surface energies and their applications

Curvature-based surface energies are frequently used in mathematics, physics, thin plate and shell engineering, and membrane chemistry and biology studies. Invariance under rotations and shifts makes curvature-based energies very attractive for modeling various phenomena. In computer-aided geometric design, the Willmore surfaces and the so-called minimum variation surfaces （MVS） are widely used for shape modeling purposes. The Willmore surfaces are invariant w.r.t conformal transformations （Mbius or conformal invariance）, and studied thoroughly in differential geometry and related disciplines. In contrast, the minimum variation surfaces are not conformal invariant. In this paper, we suggest a simple modification of the minimum variation energy and demonstrate that the resulting modified MVS enjoy Mbius invariance （so we call them conformal-invariant MVS or, shortly, CI-MVS）. We also study connections of CI-MVS with the cyclides of Dupin. In addition, we consider several other conformal-invariant curve and surface energies involving curvatures and curvature derivatives. In particular, we show how filtering with a conformal-invariant curve energy can be used for detecting salient subsets of the principal curvature extremum curves used by Hosaka and co-workers for shape quality inspection purposes.     

Almost strictly total positivity of NUAT B-spline basis

Total positivity of spline basis has been well known in the theory of computer aided geometry design, which is highly related with good shape preserving property. Almost strictly total positivity is stronger, which could determine the positive minors while the other is zero. In this paper, a geometrical approach is proposed to prove the collection matrices of NUAT B-spline basis are almost strictly totally positive. In this paper, knot insertion algorithm combined with coefficient variation of NUAT B-spline function, we put forward an intuitive and geometrical method.     

Molecular interaction networks in the analyses of sequence variation and proteomics data

Protein–protein interaction networks are typically generated in standard cell lines or model organisms as it is prohibitively difficult to record large interaction datasets from specific tissues or disease models at a reasonable pace. Although the interaction data are of high confidence, they thus do not reflect in vivo relationships as such. A wealth of physiologically relevant protein information, obtained under different conditions and from different systems, is available including information on genetic variation, protein levels, and PTMs. However, these data are difficult to assess comprehensively because the relationships between the entities remain elusive from the measurements. Here, we exemplarily highlight recent studies that gained deeper insight from genetic variation, protein, and PTM measurements using interaction information pointing toward the importance and potential of interaction networks for the interpretation of sequencing and proteomics data.     

故障诊断专家系统在水电厂的应用

水电机组故障诊断技术是水电厂开展状态检修的基础。水电机组作为大型旋转机械,其振动可以反映机组大部分故障。专家系统是人工智能领域应用比较成熟的技术,现在故障诊断专家系统已在国内水电厂逐步推广。本文在水电机组状态监测的基础上,针对水电机组的振动故障,提出一种基于产生式规则的专家系统。它主要由知识库、推理机、数据库、人机接口等部分组成。最后,利用实际数据进行诊断和分析,并根据机组检修情况对诊断结果进行验证,证明专家诊断系统能够给检修人员提供机组故障产生的可能原因和部位,对机组检修起到一定的指导作用。     

基于离散粒子群算法全局QoS最优的Web服务选择

Web服务选择是Web服务组合中重要问题,也是一个NP难问题,使用离散粒子群算法对该问题进行建模求解并针对粒子群算法后期容易陷入局部最优进行改进,借鉴遗传算法中杂交变异的思想对算法迭代后期的一部分粒子进行杂交变异,实验仿真证明,由于杂交变异的引入,能够求得Web服务组合全局QoS更优的解。     

Rough membership function based illumination classifier for illumination invariant face recognition

This paper proposes a face recognition system to overcome the problem due to illumination variation. The propose system first classifies the image's illumination into dark, normal or shadow and then based on the illumination type; an appropriate technique is applied for illumination normalization. Propose system ensures that there is no loss of features from the image due to a proper selection of illumination normalization technique for illumination compensation. Moreover, it also saves the processing time for illumination normalization process when an image is classified as normal. This makes the approach computationally efficient. Rough Set Theory is used to build rmf illumination classifier for illumination classification. The results obtained as high as 96% in terms of accuracy of correct classification of images as dark, normal or shadow.     

电力载波通信动态组网算法的研究

电力载波通信网络的不确定性使得其无法用一般的通信组网方法来组建网络,针对这一问题,设计了一种适用于路径寻优的改进遗传算法,该算法能够快速准确的对全局通信网络进行组网。首先通过遗传算法对所有的通信节点和通信路径进行全局搜索; 当通信节点出现故障时利用遗传算法全局寻优的特性进行通信网络的组网,在组网过程中引入图的遍历算法思想和Dijkstra 算法来克服遗传算法易收敛到局部最优解和处理规模小等缺点; 最后根据小生境技术最优保留原则得到最优的组网结果。Matlab 仿真实验验证了该算法的收敛性和可行性,该算法提高了组网的快速性和准确性,能够满足电力载波通信动态组网的实时性和正确性要求,具有一定的实用价值。     

漳河水库入库径流序列变化趋势分析

依据漳河水库1963-2008年入库径流资料,采用R/S分析方法和M ann-Kendall参数秩次相关检验法对其未来入库径流变化趋势进行了分析。结果表明:①水库流域未来径流量将呈缓慢下降的趋势,且未来1月和7月的径流量变化趋势的随机性成份可能很大,应采取必要对策和措施,以应对未来可能出现的干旱或暴雨洪涝等自然灾害。②1995年为突变点,前后两个系列的统计特征值均具有明显的差异,已经不符合"一致性"的要求。③对于20世纪70~80年代的持续枯水期,应理解为这只是其径流丰枯周期变化中的一个枯水期。④流域人类活动日趋频繁,使得流域下垫面条件发生了较大的变化,对入库径流量有较大的影响。