精馏塔时滞过程的分数阶PIλDμ控制器设计

本文针对精馏塔不稳定时滞过程,提出一种基于设定值加权的分数阶PIλDμ控制器设计方法.首先采用比例环节构成内环反馈镇定不稳定时滞过程,然后基于等效的过程模型,依据设定值加权方法设计分数阶PIλDμ控制器,并进行了控制器参数整定.仿真结果表明:分数阶PIλDμ控制器可以使精馏塔不稳定时滞过程系统获得良好的动态响应特性,干扰抑制特性以及克服系统参数变化的鲁棒性.     

基于蕴涵算子族L-λ-R_0的模糊推理α-三I约束算法

提出了基于蕴涵算子族L-λ-R0的模糊推理的思想,这将有助于提高推理结果的可靠性。针对蕴涵算子族L-λ-R0给出了模糊推理的FMP模型及FMT模型的α-三I约束算法。     

基于蕴涵算子族Lλ0λG的反向三I支持算法

提出了基于蕴涵算子族Lλ0λG的模糊推理的思想,这将有助于提高推理结果的可靠性。针对蕴涵算子族Lλ0λG给出了模糊推理的FMP模型及FMT模型的反向三I支持算法。     

Robust skeletonization using the discrete λ-medial axis

Medial axes and skeletons are notoriously sensitive to contour irregularities. This lack of stability is a serious problem for applications in e.g. shape analysis and recognition. In 2005, Chazal and Lieutier introduced the λ-medial axis as a new concept for computing the medial axis of a shape subject to single parameter filtering. The λ-medial axis is stable under small shape perturbations, as proved by these authors. In this article, a discrete λ-medial axis (DLMA) is introduced and compared with the recently introduced integer medial axis (GIMA). We show that DLMA provides measurably better results than GIMA, with regard to stability and sensibility to rotations. We give efficient algorithms to compute the DLMA, and we also introduce a variant of the DLMA which may be computed in linear-time.     

一种非线性模型参考迭代学习控制算法

针对存在周期或非周期不确定干扰的非线性系统,提出一种模型参考迭代学习控制算法(MR-ILC),其目标是在被控系统满足假设条件并采用相应学习律的条件下,使被控系统的状态变量跟踪参考模型的状态变量,且两种模型不需要具有相同的结构和参数。运用λ范数证明了算法的收敛性,仿真结果验证了算法的有效性。     

广义Orlicz空间的λ—性质和一致λ—性质

根据各种不同理论和应用的需要,Orlicz空间有各种不同形式的推广,赋p—Amemiya范数的Orlicz空间是Orlicz空间的推广,记为LM,p空间.λ—性质和一致λ—性质是Banach空间几何理论中的重要概念,它与端点和严格凸性有着紧密的联系.本文中我们得出了LM,p空间具有λ—性质,并给出了LM,p空间具有一致λ—性质的充要条件.     

混凝土单轴压缩CT试验过程定量化分析

当前利用CT技术从细观层面研究混凝土的力学特性大都处于定性的观察和统计分析研究阶段,未能利用恰当的数学理论对宝贵的CT试验结果进行定量化分析。本文将基于集合论的破损演化理论引入混凝土CT试验数据研究中,解决利用CT数定量研究混凝土破坏过程的问题;在破损演化理论的基础上利用(λ1~λ2)截理的定义将CT图像分为孔洞裂纹区(P0~0.35)、硬化水泥石区(P0.35~0.7)及骨料区(P0.7~1),实现了对混凝土各组分的定量化分区研究,进而定量地研究了CT试验过程中全域和感兴区域上P0~0.35、P0.35~0.7及P0.7~1随加载的变化过程。研究结果表明利用本方法可较好地描述混凝土的受力破坏过程,能定量地体现试样破坏过程中应变的局部化。     

q-Rung orthopair fuzzy Choquet integral aggregation and its application in heterogeneous multicriteria two-sided matching decision making

In the real decision making, $q$-rung orthopair fuzzy sets ($q$-ROFSs) as a novel effective tool can depict and handle uncertain information in a broader perspective. Considering the interrelationships among the criteria, this paper extends Choquet integral to the $q$-rung orthopair fuzzy environment and further investigates its application in multicriteria two-sided matching decision making. To determine the fuzzy measures used in Choquet integral, we first define a pair of $q$-rung orthopair fuzzy entropy and cross-entropy. Then, by utilizing $\lambda$-fuzzy measure theory, we propose an entropy-based method to calculate the fuzzy measures upon criteria. Furthermore, we discuss $q$-rung orthopair fuzzy Choquet integral operator and its properties. Thus, with the aid of $q$-rung orthopair fuzzy Choquet integral, we consider the preference heterogeneity of the matching subjects and further explore the corresponding generalized model and approach for the two-sided matching. Finally, a simulated example of loan market matching is given to illustrate the validity and applicability of our proposed approach.     

对称*-λ-半环

Kleene代数在计算机科学中具有基础而特殊的重要性。在计算机工程应用中,Kleene代数及相关*-半环已被成功应用于基础安全分析、底层程序变换以及并行控制等许多领域。论文给出了对称*-λ-半环的定义及其等价刻画,并指出对称*-λ-半环是Kleene代数概念的推广。