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A new semi-tensor product of matrices

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Control Theory and Technology 2019年第1期17卷 4-12页

作者： Daizhan CHENG zequn liu The Key Laboratory of Systems and Control Academy of Mathematics and Systems Sciences Chinese Academy of Sciences Beijing 700790 China University of Chinese Academy of Sciences Beijing 100049 China

A new matrix product, called the second semi-tensor product (STP-Ⅱ) of matrices is proposed. It is similar to the classical semi-tensor product (STP-I). First, its fundamental properties are presented. Then, the equivalence relation caused by STP-II is obtained. Using this equivalence, a quotient space is also obtained. Finally, the vector space structure, the metric and the metric topology, the projection and subspaces, etc. of the quotient space are investigated in detail.

关键词： Second sime-tensor product (STP-Ⅱ) equivalence class quotient space topology metric

From STP to game-based control

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Science China(Information Sciences) 2018年第1期61卷 9-27页

作者： Daizhan CHENG Hongsheng QI zequn liu Key Laboratory of Systems and Control Academy of Mathematics and Systems ScienceChinese Academy of Sciences University of Chinese Academy of Sciences

This paper provides a comprehensive survey on semi-tensor product(STP) of matrices and its applications to different disciplines. First of all, the STP and its basic properties are introduced. Meanwhile, its inside physical meaning is explained. Second, its application to conventional dynamic systems is presented. As an example, the region of attraction of stable equilibriums is discussed. Third, its application to logical systems is presented. Particularly, the algebraic state space representation of logical systems and the important role it plays in analysis and control of logical systems are emphasized. Fourth, its application to finite games is discussed. The most interesting problems include potential game, evolutionary game, and game theoretic control. Finally, the mathematical essence of STP is briefly introduced.

关键词： semi-tensor product of matrices Boolean network logical(control) system finite game game theoretic control

Selective catalytic reduction of NO by C_2H_2 over Ce-Al_2O_3 catalyst with rate-determining step of NO oxidation

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Journal of Natural Gas Chemistry 2012年第3期21卷 332-338页

作者： Suhua Yan Xinping Wang Wenchen Wang zequn liu Jiahao Niu State Key Laboratory of Fine Chemicals Dalian University of TechnologyDalian 116024LiaoningChina

Ce-A12O3 catalysts prepared by co-precipitation are investigated both in NO oxidation by 02 and in selective catalytic reduction of NO by C2H2 （C2H2-SCR）. It is found that C2H2-SCR is initiated and controlled by NO oxidation to NO2 over A12O3. Ce loading on A12O3 is almost inactive for NO oxidation below 350℃, since NO2 strongly adsorbs on cerium oxide, leading to the active sites being blocked, which was characterized by temperature-programmed desorption of NO and NO2 and Fourier transform infrared spectroscopy after NO＋O2 coadsorption over the samples. However, in the case of C2H2-SCR, Ce loading on A1203 significantly improves the reaction by accelerating the NO oxidation step in the temperature range of 250-450℃, since the nitrate species produced by NO2 adsorption is an active intermediate required by C2H2-SCR.

关键词： NOx removal NO oxidation nitrate species Ce-A1203 acetylene

Removal of bentazone from micro-polluted water using MIEX resin:Kinetics,equilibrium,and mechanism

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Journal of Environmental Sciences 2011年第3期23卷 381-387页

作者： zequn liu Xiaomin Yan Mary Drikas Danong Zhou DongshengWang Min Yang Jiuhui Qu State Key Laboratory of Environmental Aquatic Chemistry Research Center for Eco-Environmental Sciences Chinese Academy of Sciences Beijing 100085 Australian Water Quality Center South Australia Water Corporation Victoria Square 250 Adelaide SA 5000 Australia No.9 Water Plant Beijing Waterworks Group Beijing 100192 China

The contamination of surface and ground water by bentazone has attracted increasing global concern in recent years. We conducted a detailed investigation using MIEX resin to eliminate bentazone from waters. Batch experiments were carried out to evaluate the effect of process parameters, such as retention time, resin amount, and initial pesticide concentration, on removal efficiency of bentazone. Results showed the sorption process was fast and bentazone could be efficiently removed in 30 minutes. The kinetic process of bentazone sorption on MIEX resin was well described by pseudo second-order model and intraparticle diffusion was the rate controlling step. The MIEX resin possessed the highest sorption capacity of 0.2656 mmol/mL for bentazone according to Langmuir fitting, Bentazone is a hydrophobic ionizable organic compound, and both ionic charge and hydrophobic aromatic structure governed the sorption characteristics on MIEX resin. The different removal efficiencies of ionic and non-ionic pesticides, combined with the charge balance equations of bentazone, SO4^2-, NO3- and Cl-, indicated that removal of bentazone using MIEX resin occurred primarily via ion exchange.

关键词： bentazone MIEX resin ion exchange micro-polluted water

On State-based Evolutionary Games

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On State-based Evolutionary Games

基于MRI直方图模型预测胰腺癌淋巴结转移的初步研究

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作者： zequn liu Zhengping Ji Daizhan Cheng Key Laboratory of Systems and Control Academy of Mathematics and Systems ScienceChinese Academy of Sciences School of Mathematical Sciences University of Chinese Academy of Sciences

The modeling and control of state-based evolutionary games（SEGs） are investigated via algebraic state space approach, which converts the game systems to equivalent classical multi-valued logical systems. Two kinds of state-based evolutionary games are considered: pure strategy and mixed strategy time-varying evolutionary *** auxiliary system is proposed, which is time-invariant. The trajectories of the auxiliary system and the original one are compared. Certain properties of time-varying SEGs are obtained. Particularly, the stability and stabilization problems have been studied in detail. Some numerical examples are also demonstrated.

关键词： State-based evolutionary game(SEG) Time-varying transition matrices Stabilization Semi-tensor product(STP) of matrices

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中国医学计算机成像杂志 2022年第1期28卷 63-67页

作者：刘泽群孙文阁中国医科大学附属第一医院放射科

目的:探讨基于MRI直方图分析术前预测胰腺癌淋巴结转移状态的应用价值。方法:收集经手术病理证实的胰腺癌患者152例,根据淋巴结转移状态将患者分为淋巴结转移组和无淋巴结转移组,并将患者按7∶3的比例分为训练组和验证组。提取MRI图像... 详细信息

目的:探讨基于MRI直方图分析术前预测胰腺癌淋巴结转移状态的应用价值。方法:收集经手术病理证实的胰腺癌患者152例,根据淋巴结转移状态将患者分为淋巴结转移组和无淋巴结转移组,并将患者按7∶3的比例分为训练组和验证组。提取MRI图像三维感兴趣区的体积和直方图特征,通过对训练组进行特征选择和建模构建预测模型,并在验证组中进行验证。结果:体积和7个直方图特征被纳入预测模型,模型预测胰腺癌淋巴结转移状态的ROC曲线在训练组中的曲线下面积为0.907,灵敏度为100.0%,特异度为70.9%,在验证组中曲线下面积为0.895,灵敏度为95.5%,特异度为78.3%。结论:基于MRI的直方图模型能有效预测胰腺癌淋巴结转移状态,有助于临床术前评估、术后预后判断。

关键词：胰腺癌淋巴结转移直方图分析影像组学

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影像组学在胰腺囊性肿瘤中的应用进展

中国医学计算机成像杂志 2022年第2期28卷 221-224页

作者：刘泽群孙文阁中国医科大学附属第一医院放射科

影像组学是指从影像学资料中获取定量特征并分析这些特征以支持临床决策的新兴研究方法。影像组学已广泛应用于与肿瘤良恶性鉴别、术前预测分期、基因突变及生存预后等领域,并发挥巨大价值。胰腺囊性肿瘤需要复杂的临床决策,近年来已成... 详细信息

影像组学是指从影像学资料中获取定量特征并分析这些特征以支持临床决策的新兴研究方法。影像组学已广泛应用于与肿瘤良恶性鉴别、术前预测分期、基因突变及生存预后等领域,并发挥巨大价值。胰腺囊性肿瘤需要复杂的临床决策,近年来已成为影像组学研究的热点和难点。影像组学将成为胰腺囊性肿瘤诊断与治疗的有力工具。

关键词：胰腺囊性肿瘤影像组学胰腺肿瘤纹理分析

基于领机状态估计的多无人机耦合协同编队控制

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北京理工大学学报 2023年第6期43卷 623-632页

作者：刘泽群周军郭宗易郭建国西北工业大学精确制导与控制研究所陕西西安710072

针对无人机编队飞行中领机通信负荷大、多无人机耦合导致动态性能不足的问题,提出了一种基于领机状态估计的多无人机耦合协同编队控制方法.首先,提出了领机状态估计的方法,并为编队中的每架无人机设计了一个领机状态观测器,以实现对领... 详细信息

针对无人机编队飞行中领机通信负荷大、多无人机耦合导致动态性能不足的问题,提出了一种基于领机状态估计的多无人机耦合协同编队控制方法.首先,提出了领机状态估计的方法,并为编队中的每架无人机设计了一个领机状态观测器,以实现对领机状态的实时估计,而不需要每个成员与领机之间进行直接信息交互,从而减少了领机通信负荷,增加了通信冗余度.其次,结合领机状态观测器,提出了一种无人机耦合的协同编队控制方法,实现无人机轨迹控制的同时,分析了编队耦合增益对编队控制的影响并将其应用于轨迹控制.仿真结果表明,该方法能够准确观测领机的实时状态,且无人机编队能够保持期望队形协同飞行,验证了所提出的协同编队控制方法的有效性.

关键词：无人机编队控制协同控制无人机耦合状态观测器

基于生命周期全成本法的绿色GDP区域经济差异性研究

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林业经济 2019年第8期41卷 82-86,101页

作者：刘泽群王立海东北林业大学

党的十八大之后,绿色发展、生态经济成为我国未来发展的方向。绿色GDP将成为一项核算区域经济发展情况的重要指标。文章基于工业产品全生命周期成本法,利用象限图对我国31个地区的绿色GDP进行差异化分析。对我国31个地区的绿色GDP结果... 详细信息

党的十八大之后,绿色发展、生态经济成为我国未来发展的方向。绿色GDP将成为一项核算区域经济发展情况的重要指标。文章基于工业产品全生命周期成本法,利用象限图对我国31个地区的绿色GDP进行差异化分析。对我国31个地区的绿色GDP结果进行回归分析,得出环境污染和经济效益之间的差异化指标。根据差异化指标对31个省(市、自治区)进行分类,针对不同地区的绿色经济发展情况分别给出未来发展建议。

关键词：工业产品全生命周期绿色GDP 绿色经济象限图区域差异