A matrix-pencil-based interpretation of inconsistent initial conditions and system properties of generalized state-space systems

Kalogeropoulos, G; Arvanitis, KG

dc.contributor.author	Kalogeropoulos, G	en
dc.contributor.author	Arvanitis, KG	en
dc.date.accessioned	2014-03-01T01:47:04Z
dc.date.available	2014-03-01T01:47:04Z
dc.date.issued	1998	en
dc.identifier.issn	02650754	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/25134
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0032022503&partnerID=40&md5=3bca5030f3a3158ea75c88b25b6e925a	en
dc.subject.other	Control systems	en
dc.subject.other	Controllability	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Observability	en
dc.subject.other	State space methods	en
dc.subject.other	Generalized state-space systems	en
dc.subject.other	Control theory	en
dc.title	A matrix-pencil-based interpretation of inconsistent initial conditions and system properties of generalized state-space systems	en
heal.type	journalArticle	en
heal.publicationDate	1998	en
heal.abstract	A matrix-pencil-based approach is presented to interpret transition matrices, inconsistent initial conditions, and systems properties of regular generalized state-space (GSS) systems. On the basis of the well known Weierstrass canonical form of a regular pencil, several definitions of transition matrices for GSS systems are given. Convolution forms of the forced state evolution of GSS systems are also established, both for the case of consistent and of inconsistent initial conditions. Moreover, a fundamental interpretation of inconsistent initial conditions of GSS systems is outlined. Finally, the notion of several types of controllability and observability Gramians of GSS systems is introduced. Relations of these Gramians to the respective controllability and observability properties of GSS systems are examined, and simple and easily checked algebraic criteria based on these Gramians, are established. It is pointed out that these results appear to be first in the field of GSS systems.	en
heal.journalName	IMA Journal of Mathematical Control and Information	en
dc.identifier.volume	15	en
dc.identifier.issue	1	en
dc.identifier.spage	73	en
dc.identifier.epage	91	en