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有向图的谱半径的一个Sharp上界
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作者 徐光辉 管宇 《江西师范大学学报(自然科学版)》 CAS 2004年第2期159-162,共4页
设D是具有m条弧的阶有向图,不含环及重弧.又设δ+(或δ-)为D的最小出度(或入度),而δ=max(δ+,δ-).记ρ(D)为D的邻接阵的最大特征值,D的谱半径.在本文中,我们得到了ρ(D)的一个Sharp上界,即ρ(D)≤(δ-1+(δ+1)2+4(m-δn))/2,这里等号... 设D是具有m条弧的阶有向图,不含环及重弧.又设δ+(或δ-)为D的最小出度(或入度),而δ=max(δ+,δ-).记ρ(D)为D的邻接阵的最大特征值,D的谱半径.在本文中,我们得到了ρ(D)的一个Sharp上界,即ρ(D)≤(δ-1+(δ+1)2+4(m-δn))/2,这里等号成立当且仅当D满足以下两条件之一:(1)对任意的v∈V(D),要么d+(v)=δ+,要么d-(v)=n-1;(2)对任意的v∈V(D),要么d-(v)=δ-,要么d+(v)=n-1. 展开更多
关键词 有向图 谱半径 Sharp上界 最大特征值 最小出度
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竞赛图中给定长度的点不相交的圈
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作者 梁娟娟 李瑞娟 《云南民族大学学报(自然科学版)》 CAS 2018年第1期43-48,共6页
对Lichiardopol提出的猜想,给定正整数q≥3,r≥1,在竞赛图T中,若最小出度δ+(T)≥(q-1)r-1,则在T中至少存在r个点不相交的q圈.证明了当r≤3时,这个猜想的正确性.
关键词 竞赛图 点不相交的圈 最小半度 最小出度
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Adaptive robust output force tracking control of pneumatic cylinder while maximizing/minimizing its stiffness 被引量:4
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作者 孟德远 陶国良 +1 位作者 班伟 钱鹏飞 《Journal of Central South University》 SCIE EI CAS 2013年第6期1510-1518,共9页
The system considered in this work consists of a cylinder which is controlled by a pair of three-way servo valves rather than a four-way one.Therefore,the cylinder output stiffness is independently controllable of the... The system considered in this work consists of a cylinder which is controlled by a pair of three-way servo valves rather than a four-way one.Therefore,the cylinder output stiffness is independently controllable of the output force.A discontinuous projection based adaptive robust controller (ARC) was constructed to achieve high-accuracy output force trajectory tracking for the system.In ARC,on-line parameter adaptation method was adopted to reduce the extent of parametric uncertainties due to the variation of friction parameters,and sliding mode control method was utilized to attenuate the effects of parameter estimation errors,unmodelled dynamics and disturbance.Furthermore,output stiffness maximization/minimization was introduced to fulfill the requirement of many robotic applications.Extensive experimental results were presented to illustrate the effectiveness and the achievable performance of the proposed scheme.For tracking a 0.5 Hz sinusoidal trajectory,maximum tracking error is 4.1 N and average tracking error is 2.2 N.Meanwhile,the output stiffness can be made and maintained near its maximum/minimum. 展开更多
关键词 servo-pneumatic systems output force control cylinder output stiffness sliding mode control adaptive control
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Soft Direct-Adaptation Based Bidirectional Turbo Equalization for MIMO Underwater Acoustic Communications 被引量:5
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作者 Junyi Xi Shefeng Yan +1 位作者 Lijun Xu Jing Tian 《China Communications》 SCIE CSCD 2017年第7期172-183,共12页
This paper proposes a soft direct-adaptation based bidirectional turbo equalizer for multiple-input multiple-output underwater acoustic communication systems. Soft, rather than hard, direct-adaptation based equalizer ... This paper proposes a soft direct-adaptation based bidirectional turbo equalizer for multiple-input multiple-output underwater acoustic communication systems. Soft, rather than hard, direct-adaptation based equalizer combined with the fast self-optimized least mean square algorithm is employed to achieve a faster convergence rate, and the second-order phase-locked loop is embedded into the equalizer to track the time-varying channel. Meanwhile, by utilizing a weighted linear combining scheme, the conventional soft direct-adaptation based equalizer is combined with the time-reversed soft direct-adaptation based equalizer to exploit bidirectional diversity and mitigate error propagation. Both the simulation and experimental results demonstrate that the soft direct-adaptation based bidirectional turbo equalizer outperforms the single-direction soft direct-adaptation based turbo equalizer, and achieves a faster convergence rate than the hard direct-adaptation based bidirectional turbo equalizer. 展开更多
关键词 soft direct-adaptation based turbo equalizer bidirectional turbo equalizer multipie-input multiple-output underwater acoustic communications
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