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
• 起止时间: 1985-01-15 至 1986-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8500762&HistoricalAwards=false
• 关键词: Generalized; Linear; Dynamical; Systems; Over

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.

本课题主要研究交换环上的广义线性动力系统。在环上广义系统的背景下，中立型系统(时滞出现在状态的导数以及状态和/或输入-输出中)的实现理论正在发展。引入了“绝对不可约”实现的概念。这一概念保证了一般有界输入有界输出稳定传递函数的绝对不可约实现是内部稳定的。此外，还给出了计算此类实现的构造性步骤。