Title :
On the eigenvalues of matrix A+B and its application in robustness analysis of uncertain state space systems
Author :
Xu, S.J. ; Rachid, A.
Author_Institution :
Aerosp. Sch., Harbin Inst. of Technol., China
Abstract :
This paper deals with the eigenvalues problem of matrix A+B. Several relationships among the eigenvalues of matrices A, B and A+B are proposed. Some simplified formulas for the eigenvalues of low order matrices are also proposed. These results are applied to the robustness analysis of uncertain state space systems
Keywords :
eigenvalues and eigenfunctions; matrix algebra; stability; state-space methods; uncertain systems; eigenvalues; low order matrices; matrix algebra; robustness analysis; state space systems; uncertain systems; Eigenvalues and eigenfunctions; Linear systems; Robustness; Space technology; State-space methods; Symmetric matrices;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.649811
