Title :
Maximum singular value and power of an interval matrix
Author :
Ahn, Hyo-Sung ; Chen, YangQuan ; Moore, Kevin L.
Author_Institution :
Dept. of Electr. & Comput. Eng., Utah State Univ., Logan, UT
Abstract :
In this paper we provide solutions for the problems of finding the maximum singular value of an interval matrix and computing the power of an interval matrix at a specified order. First, to calculate the exact value of the maximum singular value of an interval matrix we make use of a solution to finding the eigenvalues of a symmetric interval matrix. Second, we use a sensitivity transfer method to prove that the power of an interval matrix can be found from a set of vertex matrices
Keywords :
maximum principle; robust control; singular value decomposition; uncertain systems; eigenvalues; maximum singular value; sensitivity transfer method; symmetric interval matrix; Artificial intelligence; Automation; Eigenvalues and eigenfunctions; Intelligent systems; Mechatronics; Power engineering and energy; Power engineering computing; Stability; Symmetric matrices; Uncertain systems;
Conference_Titel :
Mechatronics and Automation, Proceedings of the 2006 IEEE International Conference on
Conference_Location :
Luoyang, Henan
Print_ISBN :
1-4244-0465-7
Electronic_ISBN :
1-4244-0466-5
DOI :
10.1109/ICMA.2006.257671
