Title :
Comments regarding "Stability margin evaluation for uncertain linear systems" [and counterexample]
Author :
Ooba, T. ; Funahashi, Y. ; Yau-Tarng Juang
Author_Institution :
Dept. of Mech. Eng., Nagoya Inst. of Technol., Japan
Abstract :
The stability bound proposed in the above mentioned paper by Gong and Thompson (IEEE Trans. Automat. Contr. vol.39 (1994)) cannot be applied to all matrices having unstable unitary factor in their polar decompositions. The case study pursued in that paper and the succeeding papers is completed in this note in a rational way. Some basic results about the eigenvalues of unitary polar factor are also presented.
Keywords :
continuous time systems; eigenvalues and eigenfunctions; linear systems; matrix algebra; poles and zeros; stability; uncertain systems; continuous time systems; eigenvalues; linear systems; multiplicative perturbations; polar decompositions; stability bound; stability margin; uncertain systems; unitary polar; Eigenvalues and eigenfunctions; Linear systems; Matrix decomposition; Mechanical engineering; Robust stability; Uncertain systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2000.881003
