This paper mainly investigates the semicontinuity of solution mappings for set optimization problems under a partial order set relation instead of upper and lower set less order relations. To this end, we propose two ...This paper mainly investigates the semicontinuity of solution mappings for set optimization problems under a partial order set relation instead of upper and lower set less order relations. To this end, we propose two types of monotonicity definition for the set-valued mapping introduced by two nonlinear scalarization functions which are presented by these partial order relations. Then, we give some sufficient conditions for the semicontinuity and closedness of solution mappings for parametric set optimization problems. The results presented in this paper are new and extend the main results given by some authors in the literature.展开更多
Motion type (or motion pattern) of a mechanism is defined as the set of all rigid motions achievable by the mechanism’s end-effector;the motion type of a parallel mechanism equals the intersection set of all subchain...Motion type (or motion pattern) of a mechanism is defined as the set of all rigid motions achievable by the mechanism’s end-effector;the motion type of a parallel mechanism equals the intersection set of all subchain motion types.The motion type of a non-instantaneous parallel mechanism locally agrees with a regular submanifold (or a Lie subgroup in particular) of the special Euclidean group SE(3).Based on submanifold germs of SE(3), we can define an equivalence relation and a partial order relation for both motion types and parallel mechanisms: two motion types are equivalent if and only if they agree on an open neighbor-hood around the identity element of SE(3);two motion types are comparable if and only if one is a submanifold of the other on an open neighborhood around the identity of SE(3).It is also possible to define equivalence relation and partial ordering on the col-lection of parallel mechanisms.In this paper, we first study properties of the equivalence and partial order relation of both motion types and parallel mechanisms, then we discuss their application in type synthesis, mobility analysis and non-overconstrained ness realization of parallel mechanisms.展开更多
AN INEQUALITY RELATING THE ORDER, MAXIMUM DEGREE, DIAMETER AND CONNECTIVITY OF A STRONGLY CONNECTED DIGRAPH We prove that if there is a strongly connected digraph of order n, maximum degree d,diameter k and connectivi...AN INEQUALITY RELATING THE ORDER, MAXIMUM DEGREE, DIAMETER AND CONNECTIVITY OF A STRONGLY CONNECTED DIGRAPH We prove that if there is a strongly connected digraph of order n, maximum degree d,diameter k and connectivity C, then n≤c(d_k-d)/(d-1)M+d+1. It improves the previous knownresults, and it, in fact, is the best possible for several interesting cases. A similar result for arcconnectivity is also established.展开更多
给出计算偏序集<A,R>的盖住关系的关系矩阵的算法如下:Procedure求哈斯图对应关系阵(MR:n×n偏序关系阵)Q:=MR-I fori:=1ton forj:=1ton fork:=1ton qik:=qik-qik qij qjk end end end{Q=[qij]为Hasse图对应关系}.
局部遮阴时,光伏阵列输出的功率-电压曲线出现多个峰值,传统最大功率点跟踪(maximum power point tracking,MPPT)算法会失效。提出两步型控制模型:第一步由粒子群算法(particle swarm optimization,PSO)寻找最大功率点,第二步通过电导...局部遮阴时,光伏阵列输出的功率-电压曲线出现多个峰值,传统最大功率点跟踪(maximum power point tracking,MPPT)算法会失效。提出两步型控制模型:第一步由粒子群算法(particle swarm optimization,PSO)寻找最大功率点,第二步通过电导增量法(incremental conductance,INC)控制系统稳定输出。此外还研究以下几点:模型的参考曲线更改为光伏阵列功率-占空比(P-D)输出特性曲线(由标准Boost电路调节占空比测得);改进传统PSO算法结构,限制了最大搜索速度;分析模型最适合的粒子数目和粒子搜索顺序。最后在复杂环境下对系统进行仿真和实验。展开更多
文摘This paper mainly investigates the semicontinuity of solution mappings for set optimization problems under a partial order set relation instead of upper and lower set less order relations. To this end, we propose two types of monotonicity definition for the set-valued mapping introduced by two nonlinear scalarization functions which are presented by these partial order relations. Then, we give some sufficient conditions for the semicontinuity and closedness of solution mappings for parametric set optimization problems. The results presented in this paper are new and extend the main results given by some authors in the literature.
基金supported by the National Basic Research Program of China (2006CB705400)Science & Technology Commission of Shanghai Municipality (071111008)Research & Development Program of China (2006AA4z334)
文摘Motion type (or motion pattern) of a mechanism is defined as the set of all rigid motions achievable by the mechanism’s end-effector;the motion type of a parallel mechanism equals the intersection set of all subchain motion types.The motion type of a non-instantaneous parallel mechanism locally agrees with a regular submanifold (or a Lie subgroup in particular) of the special Euclidean group SE(3).Based on submanifold germs of SE(3), we can define an equivalence relation and a partial order relation for both motion types and parallel mechanisms: two motion types are equivalent if and only if they agree on an open neighbor-hood around the identity element of SE(3);two motion types are comparable if and only if one is a submanifold of the other on an open neighborhood around the identity of SE(3).It is also possible to define equivalence relation and partial ordering on the col-lection of parallel mechanisms.In this paper, we first study properties of the equivalence and partial order relation of both motion types and parallel mechanisms, then we discuss their application in type synthesis, mobility analysis and non-overconstrained ness realization of parallel mechanisms.
基金This project is supported by the National Natural Science Foundation of China
文摘AN INEQUALITY RELATING THE ORDER, MAXIMUM DEGREE, DIAMETER AND CONNECTIVITY OF A STRONGLY CONNECTED DIGRAPH We prove that if there is a strongly connected digraph of order n, maximum degree d,diameter k and connectivity C, then n≤c(d_k-d)/(d-1)M+d+1. It improves the previous knownresults, and it, in fact, is the best possible for several interesting cases. A similar result for arcconnectivity is also established.
文摘给出计算偏序集<A,R>的盖住关系的关系矩阵的算法如下:Procedure求哈斯图对应关系阵(MR:n×n偏序关系阵)Q:=MR-I fori:=1ton forj:=1ton fork:=1ton qik:=qik-qik qij qjk end end end{Q=[qij]为Hasse图对应关系}.
文摘局部遮阴时,光伏阵列输出的功率-电压曲线出现多个峰值,传统最大功率点跟踪(maximum power point tracking,MPPT)算法会失效。提出两步型控制模型:第一步由粒子群算法(particle swarm optimization,PSO)寻找最大功率点,第二步通过电导增量法(incremental conductance,INC)控制系统稳定输出。此外还研究以下几点:模型的参考曲线更改为光伏阵列功率-占空比(P-D)输出特性曲线(由标准Boost电路调节占空比测得);改进传统PSO算法结构,限制了最大搜索速度;分析模型最适合的粒子数目和粒子搜索顺序。最后在复杂环境下对系统进行仿真和实验。
