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arXiv 1107.4255math.OCcs.SYeess.SY
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关于原点处有极点的负虚系统反馈互联的一个新稳定性结果

A New Stability Result for the Feedback Interconnection of Negative Imaginary Systems with a Pole at the Origin

University of New South Wales at the Australian Defence Force Academy(新南威尔士大学澳大利亚国防军学院);University of Manchester(曼彻斯特大学)

Mohamed A. Mabrok, Abhijit G. Kallapur, Ian R. Petersen, Alexander Lanzon

AI总结:

本文推导了负虚引理的推广形式,使其适用于虚轴上(包括原点)有极点的传递函数,并给出了包含原点极点的负虚系统正反馈互联的内部稳定性充分条件。

摘要:

本文关注负虚系统正反馈互联的稳定性条件。推导了负虚引理的一个推广形式,该形式即使传递函数在虚轴上(包括原点)有极点时仍然成立。给出了包含原点极点的负虚系统反馈互联内部稳定性的一个充分条件,并给出了一个说明性例子来支持该结果。

英文摘要:

This paper is concerned with stability conditions for the positive feedback interconnection of negative imaginary systems. A generalization of the negative imaginary lemma is derived, which remains true even if the transfer function has poles on the imaginary axis including the origin. A sufficient condition for the internal stability of a feedback interconnection for NI systems including a pole at the origin is given and an illustrative example is presented to support the result.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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