Balancing transformations for unstable nonminimal linear systems.

Therapos Constantine, P

dc.contributor.author	Therapos Constantine, P	en
dc.date.accessioned	2014-03-01T01:07:23Z
dc.date.available	2014-03-01T01:07:23Z
dc.date.issued	1989	en
dc.identifier.issn	0018-9286	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9970
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.other	Mathematical Techniques--Eigenvalues and Eigenfunctions	en
dc.subject.other	System Stability--Lyapunov Methods	en
dc.subject.other	Balancing Transformations	en
dc.subject.other	Lyapunov Matrix Equations	en
dc.subject.other	Similarity Transformation	en
dc.subject.other	Unstable Nonminimal Linear Systems	en
dc.subject.other	Control Systems, Linear	en
dc.title	Balancing transformations for unstable nonminimal linear systems.	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/9.28023	en
heal.identifier.secondary	http://dx.doi.org/10.1109/9.28023	en
heal.language	English	en
heal.publicationDate	1989	en
heal.abstract	It is shown that an unstable nonminimal continuous (discrete) realization (A, B, C) can be transformed via a similarity transformation into a balanced one if and only if the product of the controllability, observability Gramians is similar to a real diagonal matrix Λ. If, in addition, the eigenvalues of A, say λ, satisfy the relation λi + λj ≠ 0(λiλj ≠ 1) then the matrix Λ will always be positive semidefinite, and a balanced realization with its minimal part in the internally balanced form can always be obtained.	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE Transactions on Automatic Control	en
dc.identifier.doi	10.1109/9.28023	en
dc.identifier.isi	ISI:A1989T791700011	en
dc.identifier.volume	34	en
dc.identifier.issue	4	en
dc.identifier.spage	455	en
dc.identifier.epage	457	en