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具有内部构造安全保障体系的冗余机器系统的特征值分布
The Distribution of Eigenvalue for a Redundant Robot Configuration with a Built-in Safety System
【摘要】 给出了具有内部构造安全保障体系的冗余机器系统算子预解式特性,对任意给定的δ>0,r=a+bi,固定a1,a2,使得(-μ+δ<a1≤a≤a2)得出lim b→∞‖R(r;A+E)‖=0,从而得到在r≥a1的右半平面内相应于系统算子A+E的谱点由有限个孤立特征值组成.
【Abstract】 The property of operator′s resolvent of a redundant robot configuration with a built-in safety system is discussed in this paper.We randomly present δ>0 and r=a+bi,Set Rer in area (-μ+δ<a1≤a≤a2),There fore(lim)|b|→∞‖R(r;A+E)‖=0 can be verified.And then we obtain that in the right plane of r≥a1 is composed of the finite isolated eigenvalue corresponding spectrum of operator A+E system.
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2006年10期
- 【分类号】O213.2
- 【被引频次】9
- 【下载频次】44