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Generalized Linear Dynamical Systems Over Commutative Rings

Generalized Linear Dynamical Systems Over Commutative Rings
交换环上的广义线性动力系统
批准号：
8500762
负责人：
Mark Spong
金额：
$0.65万
依托单位：
University of Illinois at Urbana-Champaign
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
1985
资助国家：
美国
项目状态：
已结题
起止时间：
1985-01-15 至 1986-09-30
来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=8500762&HistoricalAwards=false
关键词：
GeneralizedLinearDynamicalSystemsOver

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英文摘要
This project focuses on generalized linear dynamical systems over commutative rings. A realization theory of neutral systems (systems where delays appear in the derivative of the state as well as in the state and/or input-output) is being developed in the context of generalized systems over rings. The concept of an 'absolutely irreducible' realization has been introduced. This concept guarantees that an absolutely irreducible realization of a generic bounded-input-bounded-output stable transfer function is internally stable. In addition, a constructive procedure has been given for computing such realizations.
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