NEW TABLE TO IMPLEMENT ROUTH'S STABILITY TEST AND MATRIX CONTINUED FRACTION EXPANSION AND INVERSION.

Therapos, CP

dc.contributor.author	Therapos, CP	en
dc.date.accessioned	2014-03-01T01:06:55Z
dc.date.available	2014-03-01T01:06:55Z
dc.date.issued	1987	en
dc.identifier.issn	0143-7054	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9677
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0023422763&partnerID=40&md5=7bb5184f5976421b48d7f1b7068507af	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Instruments & Instrumentation	en
dc.subject.other	MATHEMATICAL TECHNIQUES - Matrix Algebra	en
dc.subject.other	CAUERFORM	en
dc.subject.other	CONTINUED FRACTION	en
dc.subject.other	FASTER EXECUTION	en
dc.subject.other	ROUTH'S STABILITY TEST	en
dc.subject.other	TRANSFER FUNCTION MATRIX	en
dc.subject.other	SYSTEM STABILITY	en
dc.title	NEW TABLE TO IMPLEMENT ROUTH'S STABILITY TEST AND MATRIX CONTINUED FRACTION EXPANSION AND INVERSION.	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1987	en
heal.abstract	A new table of numbers, obtained by rearranging the Routh stability array, is used to perform Routh's stability test. The proposed table, with slight modifications, can also be used to expand a known rational transfer function matrix into one of the three Cauer-form continued fractions, or, conversely, to invert a given Cauer-form continued fraction. In the applications, the recursive relations presented for the construction of the proposed table seem better than the relevant Routh-type relations, as one may follow more easily the values of the indices appearing in the formulas, while the number of the variables involved is significantly decreased. From the programming point of view, they guarantee a reduction of the required memory, nearly by half, and a faster execution of the corresponding program. These advantages are achieved without increase of the number of numerical operations or in the complexity of the existing techniques.	en
heal.publisher	IEE-INST ELEC ENG	en
heal.journalName	IEE Proceedings D: Control Theory and Applications	en
dc.identifier.isi	ISI:A1987J994800004	en
dc.identifier.volume	134	en
dc.identifier.issue	5	en
dc.identifier.spage	327	en
dc.identifier.epage	332	en