Title :
An extension of the Cayley-Hamilton theorem for a standard pair of block matrices
Author :
Kaczorek, Tadeusz
Author_Institution :
Inst. of Control & Ind. Electron., Warsaw Univ. of Technol., Poland
Abstract :
The Cayley-Hamilton theorem is extended for a standard pair of matrices partitioned into blocks that commute in pairs. Victoria´s theorem (1982) is a particular case for E=I of the extended Cayley-Hamilton theorem
Keywords :
control system analysis; control system synthesis; matrix algebra; Cayley-Hamilton theorem; block matrices; Automatic control; Control system synthesis; Eigenvalues and eigenfunctions; Equations; Industrial electronics; Linear algebra; Linear systems; Notice of Violation; Polynomials; Symmetric matrices;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.577580
