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Study on matrix equations over a Laurent polynomial ring obtained from differential equations with a time-delay

Study on matrix equations over a Laurent polynomial ring obtained from differential equations with a time-delay
时滞微分方程洛朗多项式环上矩阵方程的研究
批准号：
19540128
负责人：
ITO Naoharu
金额：
$1.16万
依托单位：
Nara University of Education
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2007
资助国家：
日本
项目状态：
已结题
起止时间：
2007 至 2009
来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19540128/
关键词：
ローラン多項式環時間遅れ線形微分方程式系行列方程式自己相反行列多項式線形微分方程式ローラン多項式微分差分作用素

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英文摘要
In this research, a Laurent polynomial ring obtained from differential equations with a time-delay is investigated. Then, the existence conditions and computation methods of solutions for matrix equations over the ring are studied. We can apply these results to the investigation of qualitative properties of the differential equations with a time-delay. Moreover, the distribution of zeros of a self-reciprocal polynomial is also studied.
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COMPUTATION OF SOLUTIONS TO POLYNOMIAL MATRIX RICCATI EQUATIONS AND OPTIMAL REGULATOR FOR TIME-DELAY SYSTEMS
  • 批准号：
    14550446
  • 项目类别：
    Grant-in-Aid for Scientific Research (C)
  • 资助金额：
    $0.9万
  • 财政年份：
    2002
  • 负责人：
    ITO Naoharu
  • 依托单位：
    NARA UNIVERSITY OF EDUCATION
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