Strongly autonomous interconnections and stabilization of 2D behaviors
Strongly autonomous interconnections and stabilization of 2D behaviors
复制标题
强自主互连和二维行为的稳定性
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
P. Rocha
中科院分区：
文献类型：
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作者：
D. Napp;P. Rocha
在本文中，我们研究了行为背景下的线性离散二维系统，其中控制被视为相互联系。在这个框架内，J.C.Willems引入了规则互连的自然概念。在这里，我们研究产生有限维行为的规则互连，使用以前开发的工具来分析几乎实现问题。我们证明了当一个给定的行为可以通过规则互连得到一个有限维（子）行为时，原始行为的可控部分是可纠正的，并且在这种情况下，所有其他子行为几乎都是规则实现的。我们应用这些结果来描述所有可稳定的行为。版权所有©2010约翰威利父子亚洲有限公司和中国自动控制学会
In this paper we study linear discrete two‐dimensional systems in the behavioral context where control is viewed as interconnection. Within this framework the natural concept of regular interconnection has been introduced by J.C.Willems. Here we investigate regular interconnections that yield finite dimensional behaviors using tools previously developed to analyze almost implementation problems. We prove that when a finite dimensional (sub‐) behavior can be achieved from a given behavior by regular interconnection then the controllable part of the original behavior is rectifiable, moreover, in this case all the other sub‐behaviors are almost regularly implementable. We apply these results to characterize all stabilizable behaviors. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society