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关于正实线性系统的一种新的迭代法
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作者 邵新慧 李长军 李岩 《东北大学学报(自然科学版)》 EI CAS CSCD 北大核心 2003年第9期827-827,共1页
针对系数矩阵A是大型稀疏非对称的且AT+A是对称正定的,或者等价地说A是正实矩阵的线性系统AU=b给出了一种新的迭代解法.该迭代法的构成是基于矩阵A的混合形式的分解A=M-S,其中M是对称正定矩阵及S是斜对称矩阵.迭代法需要选择一个对称正... 针对系数矩阵A是大型稀疏非对称的且AT+A是对称正定的,或者等价地说A是正实矩阵的线性系统AU=b给出了一种新的迭代解法.该迭代法的构成是基于矩阵A的混合形式的分解A=M-S,其中M是对称正定矩阵及S是斜对称矩阵.迭代法需要选择一个对称正定矩阵D,通过适当选取矩阵D,新迭代法是收敛的,并且以定理的形式给出了两种选择D的方法,又通过例题给出了迭代法的计算过程.可以看出,对于用迭代法求解正实线性系统,新迭代方法要比其他的迭代方法如SOR法更容易实现. 展开更多
关键词 正实线性系统 迭代法 系数矩阵 稀疏阵 对称定矩阵
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Pole-placement self-tuning control of nonlinear Hammerstein system and its application to pH process control 被引量:1
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作者 邹志云 赵丹丹 +4 位作者 刘兴红 郭宇晴 管臣 冯文强 郭宁 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2015年第8期1364-1368,共5页
By taking advantage of the separation characteristics of nonlinear gain and dynamic sector inside a Hammerstein model, a novel pole placement self tuning control scheme for nonlinear Hammerstein system was put forward... By taking advantage of the separation characteristics of nonlinear gain and dynamic sector inside a Hammerstein model, a novel pole placement self tuning control scheme for nonlinear Hammerstein system was put forward based on the linear system pole placement self tuning control algorithm. And the nonlinear Hammerstein system pole placement self tuning control(NL-PP-STC) algorithm was presented in detail. The identi fication ability of its parameter estimation algorithm of NL-PP-STC was analyzed, which was always identi fiable in closed loop. Two particular problems including the selection of poles and the on-line estimation of model parameters, which may be met in applications of NL-PP-STC to real process control, were discussed. The control simulation of a strong nonlinear p H neutralization process was carried out and good control performance was achieved. 展开更多
关键词 Nonlinear system Hammerstein model Pole placement Self tuning control pH control
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