一个线性算子半群的扰动

Disturbing Question about A Linear Operation Semigroup

  • 摘要: 考虑E.Hile-E.Yosida线性算子(半)群和Goldstein算子(半)群;在文献1,2基础上,提出了一个生成算子的扰动产生算子半群,证明了该算子半群的扰动具有的基本特征:算子依范数收敛,强连续性,唯一性及可微分性。从生成算子的角度说明这个算子半群的扰动与四阶闭环分布参数控制系统的关系。

     

    Abstract: Based on Ref.1 and 2,E.Hille-E.Yosida or Goldstein operation (semigroup)group is considered in this paper.A distrurbed linear operation semigroup is discussed which processes convergent operator in norm,stiff continuous,and sole and differential characteristics.The relationship between disturbed linear operation semigroup and 4-order feedback evolution equation is presented in a view of generating operator.

     

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