论文信息 - A conjecture on the norm of Lyapunov mapping

A conjecture on the norm of Lyapunov mapping

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.

[1] Charles R. Johnson,et al. Topics in Matrix Analysis , 1991 .

[2] Tyler Haynes. CHANGES IN SIGNATURE INDUCED BY THE LYAPUNOV MAPPING 2A X AX + XA* , 1989 .

[3] D. Cheng,et al. Semi-tensor Product of Matrices , 2011 .

[4] Daizhan Cheng. On Lyapunov mapping and its applications , 2001, Commun. Inf. Syst..