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		Daizhan CHENG,Yahong ZHU,Hongsheng QI.[en_title][J].Control Theory and Technology,2009,7(1):48~50.[Copy]

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DaizhanCHENG,YahongZHU,HongshengQI
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Received:June 18, 2007Revised:January 17, 2008

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A conjecture on the norm of Lyapunov mapping

Daizhan CHENG, Yahong ZHU, Hongsheng QI

(Institute of Systems Science, Chinese Academy of Sciences, Beijing 100190, China; Department of Mathematics, Suzhou University, Suzhou Jiangsu 215006, China)

Abstract:

A conjecture that the norm of Lyapunov mapping LA equals to its restriction to the symmetric set, S, i.e., LA = LA|S was proposed in [1]. In this paper, a method for numerical testing is provided first. Then, some recent progress on this conjecture is presented.

Key words: Lyapunov mapping Invariant subspace Norm