M-dimensional Cayley-Hamilton theorem.

Theodorou, NJ

dc.contributor.author	Theodorou, NJ	en
dc.date.accessioned	2014-03-01T01:07:31Z
dc.date.available	2014-03-01T01:07:31Z
dc.date.issued	1989	en
dc.identifier.issn	0018-9286	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10044
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.other	Mathematical Techniques--Matrix Algebra	en
dc.subject.other	Cayley-Hamilton Theorem	en
dc.subject.other	Matrix Characteristic Polynomial	en
dc.subject.other	Multidimensional Systems	en
dc.subject.other	State Space Matrix	en
dc.subject.other	Control Systems	en
dc.title	M-dimensional Cayley-Hamilton theorem.	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/9.24217	en
heal.identifier.secondary	http://dx.doi.org/10.1109/9.24217	en
heal.language	English	en
heal.publicationDate	1989	en
heal.abstract	This theorem states that every block square matrix satisfies its own m-D (m-dimensional, m ≥ 1) matrix characteristic polynomial. The exact statement and a simple proof of this theorem are given. The theorem refers to a matrix A subdivided into m blocks, and hence having dimension at least m. The conclusion is that every square matrix A with dimension M satisfies several m-D characteristic matrix polynomials with degrees N1,..., Nm, such that N1 + ... + Nm ≤ M.	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE Transactions on Automatic Control	en
dc.identifier.doi	10.1109/9.24217	en
dc.identifier.isi	ISI:A1989U703000019	en
dc.identifier.volume	34	en
dc.identifier.issue	5	en
dc.identifier.spage	563	en
dc.identifier.epage	565	en