时间尺度上线性时变系统的状态反馈镇定

2010 42nd Southeastern Symposium on System Theory (SSST) Pub Date : 2010-03-07 DOI:10.1109/SSST.2010.5442794

John M. Davis, I. Gravagne, Billy Jackson, R. Marks

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引用次数: 11

摘要

线性系统理论的一个基本成果是在适当的可控性约束下，发展了时变系统的线性状态反馈稳定器。这一结果以前仅限于系统运行在连续(R)和均匀离散(hZ)时域上，且步长为恒定h。利用时间尺度上的动态方程框架，我们构造了任意时域上时变系统的线性状态反馈稳定器s1。

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State feedback stabilization of linear time-varying systems on time scales

A fundamental result in linear system theory is the development of a linear state feedback stabilizer for time-varying systems under suitable controllability constraints. This result was previously restricted to systems operating on the continuous (R) and uniform discrete (hZ) time domains with constant step size h. Using the framework of dynamic equations on time scales, we construct a linear state feedback stabilizer for time-varying systems on arbitrary time domains1.

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2010 42nd Southeastern Symposium on System Theory (SSST)

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