INDUCTIVE APPROACH TO THE STATE SPACE REPRESENTATION OF MULTIDIMENSIONAL SYSTEMS.

Tzafestas, SG; Theodorou, NJ

dc.contributor.author	Tzafestas, SG	en
dc.contributor.author	Theodorou, NJ	en
dc.date.accessioned	2014-03-01T01:39:13Z
dc.date.available	2014-03-01T01:39:13Z
dc.date.issued	1987	en
dc.identifier.issn	09110704	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/22618
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0023593343&partnerID=40&md5=8c5f4db4956f2f12f6b43a047a7ff4a7	en
dc.subject.other	MATHEMATICAL TECHNIQUES - State Space Methods	en
dc.subject.other	COMPUTER MEMORY	en
dc.subject.other	INDUCTIVE PROCEDURE	en
dc.subject.other	INVARIANT TRANSFER FUNCTION	en
dc.subject.other	MULTIDIMENSIONAL SYSTEMS	en
dc.subject.other	STATE SPACE REPRESENTATION	en
dc.subject.other	CONTROL SYSTEMS	en
dc.title	INDUCTIVE APPROACH TO THE STATE SPACE REPRESENTATION OF MULTIDIMENSIONAL SYSTEMS.	en
heal.type	journalArticle	en
heal.publicationDate	1987	en
heal.abstract	The class of single-input single-output linear multidimensional systems which are represented by a real time invariant transfer function is considered. Under the assumption that a canonical state-space representation of any m-dimensional (m-D) system characterized by its m-D transfer function is known, an inductive procedure is designed for deriving a canonical state-space model for any (m plus 1)-D system, characterized by an (m plus 1)-D transfer function. Presently there are available state-space models for up to 3-D systems, and so this procedure can lead to the construction of state-space representations of any dimensions. Special state space representations are also derived and their dimensionality is investigated. A nontrivial example illustrates the validity of the procedure.	en
heal.journalName	Control, theory and advanced technology	en
dc.identifier.volume	3	en
dc.identifier.issue	4	en
dc.identifier.spage	293	en
dc.identifier.epage	322	en