Title :
Exact Maximum Singular Value of a Complex Interval Matrix
Author_Institution :
Dept. of Mechatron., Gwangju Inst. of Sci. & Technol. (GIST), Gwangju
Abstract :
This paper shows that exact maximum singular value of a complex interval matrix can be found from a set of selected matrices. The results include both square interval matrix and generalized non-square interval matrix. Three illustrative examples are presented to verify the validity and utility of the proposed method.
Keywords :
singular value decomposition; complex interval matrix; exact maximum singular value; generalized nonsquare interval matrix; square interval matrix; Control engineering computing; Control systems; Eigenvalues and eigenfunctions; Linear algebra; Lyapunov method; Mechatronics; Robust control; Robust stability; Uncertainty; Complex interval matrix; maximum singular value;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2008.930198
