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A conjecture on the norm of Lyapunov mapping

A conjecture on the norm of Lyapunov mapping
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摘要 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. 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.
出处 《控制理论与应用(英文版)》 EI 2009年第1期48-50,共3页
基金 supported by the National Natural Science Foundation of China (No.60674022,60736022,60221301)
关键词 Lyapunov mapping Invariant subspace NORM Lyapunov mapping Invariant subspace Norm
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参考文献4

  • 1D.Cheng,H.Qi.Semi-tensor Product of Matrices-Theory and Applications[]..2007
  • 2CHENG D.On Lyapunov mapping and its applications[].Commu-nications in Information and Systems.2001
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  • 4Horn.R.A,Johnson,C R.Topics in matrix analysis[]..1991

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