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近51年海南岛极端气温事件分析
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作者 宾昕 蒋贤玲 任晓玥 《热带气象学报》 CSCD 北大核心 2023年第3期424-432,共9页
利用1970—2020年海南岛18个气象站点逐日气温资料和数字高程数据,选取12个适用于研究区的极端气温指数,结合气候倾向率、相关分析等方法,分析了海南岛近51 a极端气温事件时空分布特征,并探讨极端气温事件与海拔、区域的关系。结果表明:... 利用1970—2020年海南岛18个气象站点逐日气温资料和数字高程数据,选取12个适用于研究区的极端气温指数,结合气候倾向率、相关分析等方法,分析了海南岛近51 a极端气温事件时空分布特征,并探讨极端气温事件与海拔、区域的关系。结果表明:近51 a海南岛极端气温冷事件(霜日日数、冷夜日数、冷昼日数、冷持续日数)呈减少趋势,极端气温暖事件(夏日日数、暖夜日数、暖昼日数、热持续日数)呈增加趋势,且增加幅度明显大于冷事件减少的幅度,极端低温阈值和高温阈值、日最高温极小值和极大值以及日最低温极小值和极大值均存在升温倾向,升温幅度在0.25~0.47℃/(10 a)之间;极端气温冷事件的变化趋势与海拔存在显著负相关关系,极端气温暖事件的变化趋势与海拔相关性较小;各极端气温指数在海南岛不同地区变化趋势的方向一致,但变化幅度的空间差异性较大,大部分极端气温指数在中部山区变化最明显,极端低温、高温阈值、霜日日数和夏日日数在南部地区变化幅度小于其他地区。 展开更多
关键词 极端气温事件 海南岛 极端阈值 变化趋势 海拔
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1975-2016年秦巴山区极端气温事件的空间差异性分析 被引量:13
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作者 香薇 程志刚 +2 位作者 周波涛 宾昕 冯冬蕾 《气候变化研究进展》 CSCD 北大核心 2018年第4期362-370,共9页
利用秦巴山区88个气象站1975—2016年的逐日气温数据,结合16个极端气温指数分析了秦巴山区极端气温阈值的空间分布及极端气温事件变化趋势的海拔依赖性。结果表明:极端气温阈值存在明显的空间分布差异,表现为极端低温阈值与极端高温阈... 利用秦巴山区88个气象站1975—2016年的逐日气温数据,结合16个极端气温指数分析了秦巴山区极端气温阈值的空间分布及极端气温事件变化趋势的海拔依赖性。结果表明:极端气温阈值存在明显的空间分布差异,表现为极端低温阈值与极端高温阈值由西北向东南均有增温趋势;总体来看,极端气温暖事件(SU25、TR20、TX90P、TN90P、WSDI)增加幅度大于冷事件(FD0、ID0、TX10P、TN10P、CSDI)减少幅度,且变化趋势较冷事件更显著;全区霜冻日数、夏日日数、冷夜日数、暖昼日数及高温极值(TXx、TXn)变化均比较显著;区域作物生长期西部增长趋势较东部显著,多数站点变化幅度在3~6 d/10a之间;海拔越高发生极端低温事件的气温越低,极端低温阈值变化趋势为-0.36℃/100m;海拔越低发生极端高温事件的气温越高,极端高温变化趋势达0.5℃/100m,且均通过99%的信度检验;区域极端气温极值指数的变化趋势与海拔呈显著正相关,具有明显的海拔依赖性,表现为海拔越高,极值指数增加趋势越明显。 展开更多
关键词 秦巴山区 极端阈值 极端气温 海拔依赖性
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Hybrid optimization of dynamic deployment for networked fire control system 被引量:7
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作者 Chen Chen Jie Chen bin xin 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2013年第6期954-961,共8页
With applying the information technology to the military field, the advantages and importance of the networked combat are more and more obvious. In order to make full use of limited battlefield resources and maximally... With applying the information technology to the military field, the advantages and importance of the networked combat are more and more obvious. In order to make full use of limited battlefield resources and maximally destroy enemy targets from arbitrary angle in a limited time, the research on firepower nodes dynamic deployment becomes a key problem of command and control. Considering a variety of tactical indexes and actual constraints in air defense, a mathematical model is formulated to minimize the enemy target penetration probability. Based on characteristics of the mathematical model and demands of the deployment problems, an assistance-based algorithm is put forward which combines the artificial potential field (APF) method with a memetic algorithm. The APF method is employed to solve the constraint handling problem and generate feasible solutions. The constrained optimization problem transforms into an optimization problem of APF parameters adjustment, and the dimension of the problem is reduced greatly. The dynamic deployment is accomplished by generation and refinement of feasible solutions. The simulation results show that the proposed algorithm is effective and feasible in dynamic situation. 展开更多
关键词 deployment optimization artificial potential field (APF) constraint handling generation of feasible solutions memetic algorithm
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TRMM 3B42降水产品在秦巴山区的适用性研究 被引量:4
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作者 程志刚 王俊锋 +1 位作者 宾昕 姚闯 《水文》 CSCD 北大核心 2019年第6期46-51,共6页
利用1999~2016年秦巴山区范围内的81个气象站实测逐日降水资料,对TRMM 3B42卫星降水数据在秦巴山区的适用性进行了评估。结果表明:TRMM 3B42数据在月、季、年尺度上具有较高的精度,3~11月精度较高,1月略低,四季中冬季精度较低。TRMM所... 利用1999~2016年秦巴山区范围内的81个气象站实测逐日降水资料,对TRMM 3B42卫星降水数据在秦巴山区的适用性进行了评估。结果表明:TRMM 3B42数据在月、季、年尺度上具有较高的精度,3~11月精度较高,1月略低,四季中冬季精度较低。TRMM所反映的降水变化过程与实测降水过程基本一致,但在降水量上存在一定差异,TRMM有略微高估降水的特征。按不同雨量等级对比,发现卫星资料对中雨及以上级别的降水具有较高的精度,无雨及小雨精度略低,原因是TRMM对0.1~0.9mm微量降水的探测能力较弱。无雨、小雨、暴雨日TRMM估计与站点实测具有相反的年际变化趋势,中雨、大雨日具有相同的年际变化趋势。研究结果对秦巴山区资料缺乏地区的气象过程研究具有重要的应用价值。 展开更多
关键词 秦巴山区 TRMM 3B42 日降水量 适用性
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Structural Characterization of Anhydroicaritin Glycosides Using ESI-FT-ICR Mass Spectrometry 被引量:2
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作者 Shao Xiang XIONG Dan PU +1 位作者 bin xin Guang Hui WANG 《Chinese Chemical Letters》 SCIE CAS CSCD 2002年第11期1103-1106,共4页
Fourier transform ion cyclotron resonance mass spectrometry (FT-ICR-MS) was used to determine the structures of anhydroicaritin glycosides by the MS/MS experiments of anhydroicaritin glycosides and their methylated de... Fourier transform ion cyclotron resonance mass spectrometry (FT-ICR-MS) was used to determine the structures of anhydroicaritin glycosides by the MS/MS experiments of anhydroicaritin glycosides and their methylated derivatives. With high accuracy FT-ICR-MS provides much information about the structures of compounds, FT-ICR-MS shows the great potential application in the structural characterization of unknown compounds. 展开更多
关键词 Mass characterization anhydroicaritin glycosides FT-ICR-MS.
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近17a秦巴山区NDVI季节变化差异及其海拔依赖性特征分析 被引量:4
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作者 宾昕 程志刚 +1 位作者 王俊锋 靳立亚 《成都信息工程大学学报》 2019年第3期302-307,共6页
针对秦巴山区植被特征的研究主要集中在陕西省境内、数据年份较早,难以表现近10 a快速城市化背景下整个山区植被变化特征。利用2001-2017年秦巴山区MODIS NDVI资料,结合MODIS LST数据,对横跨5省1市的整个秦巴山区NDVI的季节变化、海拔... 针对秦巴山区植被特征的研究主要集中在陕西省境内、数据年份较早,难以表现近10 a快速城市化背景下整个山区植被变化特征。利用2001-2017年秦巴山区MODIS NDVI资料,结合MODIS LST数据,对横跨5省1市的整个秦巴山区NDVI的季节变化、海拔依赖性及其对地表温度响应进行了研究。结果表明:17 a秦巴山区NDVI已4.65%/10 a的速率增加,NDVI季节差异明显,表现为夏季>秋季>春季>冬季,冬季植被增长趋势最明显;秦巴山区植被覆盖整体随海拔升高先增加后减小,500~1500 m植被覆盖最大;在不同海拔梯度上,2001-2017年秦巴山区NDVI均呈增加趋势,增长速率随海拔升高先增加后减小,在500~1500 m NDVI增长速率最大为5.5%/10 a;秦巴山区范围内NDVI与地表温度均呈正相关关系,且随着海拔升高,NDVI对地表温度的响应越大。 展开更多
关键词 大气科学 气候变化与数值模拟 NDVI 秦巴山区 海拔 变化趋势
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秦巴山区植被快速变化区典型气候指标的演变特征及其海拔依赖性分析 被引量:3
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作者 张月悦 程志刚 +2 位作者 陈笑笑 宾昕 靳立亚 《成都信息工程大学学报》 2020年第4期471-478,共8页
气候因子对植被生长具有决定性作用,为更好地研究秦巴山区气候因子的变化特征,依据该区域NDVI时空分布特征,选取500~1200 m海拔段35个气象站点1975-2017年的逐日气温、降水数据,分析了植被快速增长区典型气候指标的变化特征及其海拔依... 气候因子对植被生长具有决定性作用,为更好地研究秦巴山区气候因子的变化特征,依据该区域NDVI时空分布特征,选取500~1200 m海拔段35个气象站点1975-2017年的逐日气温、降水数据,分析了植被快速增长区典型气候指标的变化特征及其海拔依赖性。结果表明:35站的温暖指数、寒冷指数,最暖月均温,最冷月均温、10℃积温和积温日数均呈增大趋势,其变化率均与海拔呈正相关,而干湿度指数则呈减小趋势,且指数变化率与海拔呈负相关关系;最高温极大值超过42℃,年代际平均温度保持在12℃~16℃,2005年后最大增温趋势超过1.4℃/10 a;温度极值的变化率与海拔高度呈正相关,最高温的极小值变化率与海拔的正相关性最强,最低温极小值最弱,但均通过95%显著性检验。 展开更多
关键词 大气科学 气候与环境变化 秦巴山区 生物气候指标 温度极值 海拔依赖性
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火力与制导资源联合分配的快速构造算法组合设计
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作者 王加根 辛斌 李冠呈 《中国科学:信息科学》 CSCD 北大核心 2024年第6期1458-1473,共16页
火力与制导资源联合分配问题是军事运筹学研究中典型的NP完全问题,其求解具有较高的实时性要求.精确求解算法难以适用,而近来提出的构造算法的时间开销也相对较大,严重影响算法的实际应用.为了解决该问题,本文将其建模为多阶段传感器–... 火力与制导资源联合分配问题是军事运筹学研究中典型的NP完全问题,其求解具有较高的实时性要求.精确求解算法难以适用,而近来提出的构造算法的时间开销也相对较大,严重影响算法的实际应用.为了解决该问题,本文将其建模为多阶段传感器–武器–目标分配(sensor-weapon-target assignment,S-WTA)问题,并分解成两类作战资源分配子问题.在武器分配阶段采用了一种基于威胁值确定分配优先级的快速构造算法,在传感器分配阶段提出了一种新的基于阶段顺序确定分配优先级的快速构造算法,该算法能充分利用约束条件,大幅度减小时间开销.本文在两种基本构造算法与基于边际损失的构造算法的基础上进一步提出了构造算法序列化组合,对多阶段S-WTA问题进行求解.计算实验验证了新提出的基本构造算法的快速性以及构造算法序列化组合相比于各种基本构造算法的性能优势. 展开更多
关键词 异构资源联合分配 传感器– 武器– 目标分配 启发式算法 构造算法 协同作战
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An adaptive large neighborhood search for the multi-point dynamic aggregation problem
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作者 Shengyu Lu bin xin +1 位作者 Jie Chen Miao Guo 《Control Theory and Technology》 EI CSCD 2024年第3期360-378,共19页
The multi-point dynamic aggregation(MPDA)problem is a challenging real-world problem.In the MPDA problem,the demands of tasks keep changing with their inherent incremental rates,while a heterogeneous robot fleet is re... The multi-point dynamic aggregation(MPDA)problem is a challenging real-world problem.In the MPDA problem,the demands of tasks keep changing with their inherent incremental rates,while a heterogeneous robot fleet is required to travel between these tasks to change the time-varying state of each task.The robots are allowed to collaborate on the same task or work separately until all tasks are completed.It is challenging to generate an effective task execution plan due to the tight coupling between robots abilities and tasks'incremental rates,and the complexity of robot collaboration.For effectiveness consideration,we use the variable length encoding to avoid redundancy in the solution space.We creatively use the adaptive large neighborhood search(ALNS)framework to solve the MPDA problem.In the proposed algorithm,high-quality initial solutions are generated through multiple problem-specific solution construction heuristics.These heuristics are also used to fix the broken solution in the novel integrated decoding-construction repair process of the ALNS framework.The results of statistical analysis by the Wilcoxon rank-sum test demonstrate that the proposed ALNS can obtain better task execution plans than some state-of-the-art algorithms in most MPDA instances. 展开更多
关键词 Adaptive large neighborhood search(ALNS) Multi-point dynamic aggregation(MPDA) Heuristic solution construction Multi-robot collaboration
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A joint mid-course and terminal course cooperative guidance law for multi-missile salvo attack 被引量:14
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作者 Jie ZENG Lihua DOU bin xin 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2018年第6期1311-1326,共16页
Salvo attacking a surface target by multiple missiles is an effective tactic to enhance the lethality and penetrate the defense system. However, existing cooperative guidance laws in the midcourse or terminal course a... Salvo attacking a surface target by multiple missiles is an effective tactic to enhance the lethality and penetrate the defense system. However, existing cooperative guidance laws in the midcourse or terminal course are not suitable for long-and medium-range missiles or stand-off attacking. Because the initial conditions of cooperative terminal guidance that are generally generated from the mid-course flight may not lead to a successful cooperative terminal guidance without proper mid-course flight adjustment. Meanwhile, cooperative guidance in the mid-course cannot solely guarantee the accuracy of a simultaneous arrival of multiple missiles. Therefore, a joint mid-course and terminal course cooperative guidance law is developed. By building a distinct leader-follower framework, this paper proposes an efficient coordinated Dubins path planning method to synchronize the arrival time of all engaged missiles in the mid-course flight. The planned flight can generate proper initial conditions for cooperative terminal guidance, and also benefit an earliest simultaneous arrival. In the terminal course, an existing cooperative proportional navigation guidance law guides all the engaged missiles to arrive at a target accurately and simultaneously.The integrated guidance law for an intuitive application is summarized. Simulations demonstrate that the proposed method can generate fast and accurate salvo attack. 展开更多
关键词 Cooperative systems Dubins path Mid-course flight Missile guidance Salvo attack
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A review of cooperative path planning of an unmanned aerial vehicle group 被引量:14
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作者 Hao ZHANG bin xin +2 位作者 Li-hua DOU Jie CHEN Kaoru HIROTA 《Frontiers of Information Technology & Electronic Engineering》 SCIE EI CSCD 2020年第12期1671-1694,共24页
As a cutting-edge branch of unmanned aerial vehicle(UAV)technology,the cooperation of a group of UAVs has attracted increasing attention from both civil and military sectors,due to its remarkable merits in functionali... As a cutting-edge branch of unmanned aerial vehicle(UAV)technology,the cooperation of a group of UAVs has attracted increasing attention from both civil and military sectors,due to its remarkable merits in functionality and flexibility for accomplishing complex extensive tasks,e.g.,search and rescue,fire-fighting,reconnaissance,and surveillance.Cooperative path planning(CPP)is a key problem for a UAV group in executing tasks collectively.In this paper,an attempt is made to perform a comprehensive review of the research on CPP for UAV groups.First,a generalized optimization framework of CPP problems is proposed from the viewpoint of three key elements,i.e.,task,UAV group,and environment,as a basis for a comprehensive classification of different types of CPP problems.By following the proposed framework,a taxonomy for the classification of existing CPP problems is proposed to describe different kinds of CPPs in a unified way.Then,a review and a statistical analysis are presented based on the taxonomy,emphasizing the coordinative elements in the existing CPP research.In addition,a collection of challenging CPP problems are provided to highlight future research directions. 展开更多
关键词 Unmanned aerial vehicle group COOPERATION Path planning Optimization problem
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A-STC: auction-based spanning tree coverage algorithm for motion planning of cooperative robots 被引量:6
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作者 Guan-qiang GAO bin xin 《Frontiers of Information Technology & Electronic Engineering》 SCIE EI CSCD 2019年第1期18-31,共14页
The multi-robot coverage motion planning(MCMP) problem in which every reachable area must be covered is common in multi-robot systems. To deal with the MCMP problem, we propose an efficient, complete, and off-line alg... The multi-robot coverage motion planning(MCMP) problem in which every reachable area must be covered is common in multi-robot systems. To deal with the MCMP problem, we propose an efficient, complete, and off-line algorithm, named the "auction-based spanning tree coverage(A-STC)" algorithm. First, the configuration space is divided into mega cells whose size is twice the minimum coverage range of a robot. Based on connection relationships among mega cells, a graph structure can be obtained. A robot that circumnavigates a spanning tree of the graph can generate a coverage trajectory. Then, the proposed algorithm adopts an auction mechanism to construct one spanning tree for each robot. In this mechanism, an auctioneer robot chooses a suitable vertex of the graph as an auction item from neighboring vertexes of its spanning tree by heuristic rules. A bidder robot submits a proper bid to the auctioneer according to the auction vertexes' relationships with the spanning tree of the robot and the estimated length of its trajectory. The estimated length is calculated based on vertexes and edges in the spanning tree. The bidder with the highest bid is selected as a winner to reduce the makespan of the coverage task. After auction processes, acceptable coverage trajectories can be planned rapidly. Computational experiments validate the effectiveness of the proposed MCMP algorithm and the method for estimating trajectory lengths. The proposed algorithm is also compared with the state-of-the-art algorithms. The comparative results show that the A-STC algorithm has apparent advantages in terms of the running time and the makespan for large crowded configuration spaces. 展开更多
关键词 COVERAGE motion planning MULTI-ROBOT system AUCTION ALGORITHM SPANNING tree COVERAGE ALGORITHM
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Representations of a Noncommutative Associative Algebra Related to Quantum Torus of Rank Three 被引量:6
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作者 Shang Yuan LIN bin xin 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第6期1521-1524,共4页
In this paper, we present some modules over the rank-three quantized Weyl algebra, which are closely related to modules over some vertex algebras. The isomorphism classes among these modules are also determined.
关键词 Quantum torus Quantized Weyl algebra MODULE ISOMORPHISM
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MSSSA:a multi-strategy enhanced sparrow search algorithm for global optimization 被引量:4
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作者 Kai MENG Chen CHEN bin xin 《Frontiers of Information Technology & Electronic Engineering》 SCIE EI CSCD 2022年第12期1828-1847,共20页
The sparrow search algorithm(SSA) is a recent meta-heuristic optimization approach with the advantages of simplicity and flexibility. However, SSA still faces challenges of premature convergence and imbalance between ... The sparrow search algorithm(SSA) is a recent meta-heuristic optimization approach with the advantages of simplicity and flexibility. However, SSA still faces challenges of premature convergence and imbalance between exploration and exploitation, especially when tackling multimodal optimization problems. Aiming to deal with the above problems, we propose an enhanced variant of SSA called the multi-strategy enhanced sparrow search algorithm(MSSSA) in this paper. First, a chaotic map is introduced to obtain a high-quality initial population for SSA, and the opposition-based learning strategy is employed to increase the population diversity. Then, an adaptive parameter control strategy is designed to accommodate an adequate balance between exploration and exploitation. Finally, a hybrid disturbance mechanism is embedded in the individual update stage to avoid falling into local optima. To validate the effectiveness of the proposed MSSSA, a large number of experiments are implemented, including 40 complex functions from the IEEE CEC2014 and IEEE CEC2019 test suites and 10 classical functions with different dimensions. Experimental results show that the MSSSA achieves competitive performance compared with several state-of-the-art optimization algorithms. The proposed MSSSA is also successfully applied to solve two engineering optimization problems. The results demonstrate the superiority of the MSSSA in addressing practical problems. 展开更多
关键词 Swarm intelligence Sparrow search algorithm Adaptive parameter control strategy Hybrid disturbance mechanism Optimization problems
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Precedence-constrained path planning of messenger UAV for air-ground coordination 被引量:2
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作者 Yulong DING bin xin Jie CHEN 《Control Theory and Technology》 EI CSCD 2019年第1期13-23,共11页
This paper addresses an unmanned aerial vehicle (UAV) path planning problem for a team of cooperating heterogeneous vehicles composed of one UAV and multiple unmanned ground vehicles (UGVs). The UGVs are used as mobil... This paper addresses an unmanned aerial vehicle (UAV) path planning problem for a team of cooperating heterogeneous vehicles composed of one UAV and multiple unmanned ground vehicles (UGVs). The UGVs are used as mobile actuators and scattered in a large area. To achieve multi-UGV communication and collaboration, the UAV serves as a messenger to fly over all task points to collect the task information and then flies all UGVs to transmit the information about tasks and UGVs. The path planning of messenger UAV is formulated as a precedence-constrained dynamic Dubins traveling salesman problem with neighborhood (PDDTSPN). The goal of this problem is to find the shortest route enabling the UAV to fly over all task points and deliver information to all requested UGVs. When solving this path planning problem, a decoupling strategy is proposed to sequentially and rapidly determine the access sequence in which the UAV visits task points and UGVs as well as the access location of UAV in the com mu nication n eighborhood of each task point and each UGV. The effectiveness of the proposed approach is corroborated through computational experiments on randomly generated instances. The computational results on both small and large in stances dem on strate that the proposed approach can generate high-quality solutions in a reasonable time as compared with two other heuristic algorithms. 展开更多
关键词 Air-ground COORDINATION curvature-constrained path planningz precedence constraints Dubins TRAVELING SALESMAN problem
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Overview of Research on Transformation of Multi-AUV Formations 被引量:3
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作者 bin xin Junxi Zhang +2 位作者 Jie Chen Qing Wang Yun Qu 《Complex System Modeling and Simulation》 2021年第1期1-14,共14页
Because of their wide detection range and rich functions,autonomous underwater vehicles(AUVs)are widely used for observing the marine environment,for exploring natural resources,for security and defense purposes,and i... Because of their wide detection range and rich functions,autonomous underwater vehicles(AUVs)are widely used for observing the marine environment,for exploring natural resources,for security and defense purposes,and in many other fields of interest.Compared with a single AUV,a multi-AUV formation can better perform various tasks and adapt to complex underwater environments.With changes in the mission or environment,a change in the UAV formation may also be required.In the last decade,much progress has been made in the transformation of multi-AUV formations.In this paper,we aim to analyze the core concepts of multi-AUV formation transformation;summarize the effects of the AUV model,underwater environment,and communication between AUVs within formations on formation transformation;and elaborate on basic theories and implementation approaches for multi-AUV formation transformation.Moreover,this overview includes a bibliometric analysis of the related literature from multiple perspectives.Finally,some challenging issues and future research directions for multi-AUV formation transformation are highlighted. 展开更多
关键词 autonomous underwater vehicle multi-AUV formation formation transformation formation control
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Lie Bialgebras of a Family of Lie Algebras of Block Type
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作者 Junbo LI Yucai SU bin xin 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2008年第5期487-500,共14页
Lie bialgebra structures on a family of Lie algebras of Block type are shown to be triangular coboundary.
关键词 Lie bialgebras Yang-Baxter equation Lie algebra of Block type
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Left-Symmetric Superalgebra Structures on a Super Virasoro Type Algebra
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作者 Xiansheng Dai Haibo Cher bin xin 《Algebra Colloquium》 SCIE CSCD 2020年第4期753-760,共8页
In this note we classify the compatible left-symmetric superalgebra structures over a super Virasoro type algebra,whose even part is the centerless twisted Heisenberg–Virasoro algebra,with some natural grading condit... In this note we classify the compatible left-symmetric superalgebra structures over a super Virasoro type algebra,whose even part is the centerless twisted Heisenberg–Virasoro algebra,with some natural grading conditions. 展开更多
关键词 super Virasoro type algebra left-symmetrie superalgebra Virasoro algebra
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The σ-Derivations of C[x^±1, y±1]
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作者 Guang'ai Song Yuezhu Wu bin xin 《Algebra Colloquium》 SCIE CSCD 2015年第2期251-258,共8页
In the present paper, the σ-derivations of C[x^±1, y±1] are determined, and their applications are considered.
关键词 σ-derivation inner σ-derivation a-deformed Witt type algebra
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