Classification and stabilizability analysis of bimodal piecewise affine systems
Classification and stabilizability analysis of bimodal piecewise affine systems
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双峰分段仿射系统的分类及稳定性分析
DOI：
10.1109/cdc.2000.912055
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
J. Imura
中科院分区：
文献类型：
--
作者：
J. Imura
本文从适定性的角度提出了双峰分段仿射系统的分类。首先，我们解决一类双峰分段仿射系统的适定系统的反馈等价问题，这里称为反馈适定问题。接下来，基于这一结果，我们将所有反馈适定系统分为四类，以系统地解决分段仿射系统的控制问题。最后，作为其应用，讨论了每一类的适定稳定性，并给出了关于稳定性的几点评论。
This paper presents a classification of bimodal piecewise affine systems from the viewpoint of well-posedness. First, we address the problem of feedback equivalence to a well-posed system, called here the feedback well-posedness problem, of a general class of bimodal piecewise affine systems. Next, based on this result, we classify all feedback well-posed systems into four classes to address the control problem of piecewise affine systems in a systematic way. Finally, as its application, the stabilizability with well-posedness is discussed for each class, and several remarks on stabilizability are given.