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
中文摘要
翻译
本文研究了一个由时滞微分方程得到的洛朗多项式环。然后，研究了环上矩阵方程解的存在性条件和计算方法。我们可以把这些结果应用于研究含时滞微分方程的定性性质。此外，还研究了自倒易多项式的零点分布。
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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会议论文
COMPUTATION OF SOLUTIONS TO POLYNOMIAL MATRIX RICCATI EQUATIONS AND OPTIMAL REGULATOR FOR TIME-DELAY SYSTEMS
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批准号：14550446
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项目类别：Grant-in-Aid for Scientific Research (C)
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资助金额：$0.9万
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财政年份：2002
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负责人：ITO Naoharu
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依托单位：
海外基金
