Stability of multidimensional systems: Overview and new results

Tzafestas, SG; Theodorou, NJ; Kanellakis, A

dc.contributor.author	Tzafestas, SG	en
dc.contributor.author	Theodorou, NJ	en
dc.contributor.author	Kanellakis, A	en
dc.date.accessioned	2014-03-01T02:40:53Z
dc.date.available	2014-03-01T02:40:53Z
dc.date.issued	1988	en
dc.identifier.issn	02714310	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30262
dc.subject	Continued Fraction Expansion	en
dc.subject	Discrete System	en
dc.subject	Image Processing	en
dc.subject	lyapunov method	en
dc.subject	Multidimensional System	en
dc.subject	State Space	en
dc.subject.other	Electric Filters, Digital	en
dc.subject.other	Image Processing	en
dc.subject.other	Mathematical Techniques--State Space Methods	en
dc.subject.other	Signal Filtering and Prediction	en
dc.subject.other	Multidimensional Systems	en
dc.subject.other	Two Dimensional Filter Stability	en
dc.subject.other	System Stability	en
dc.title	Stability of multidimensional systems: Overview and new results	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1109/ISCAS.1988.14934	en
heal.identifier.secondary	http://dx.doi.org/10.1109/ISCAS.1988.14934	en
heal.publicationDate	1988	en
heal.abstract	Most of the stability results of 2-D discrete systems using the Lyapunov method and the state-space approach are reviewed. The stability of m-dimensional systems is studied through classification of various regions of analyticity, and several theorems and algebraic tests for checking these regions are reviewed. A stability test is presented for two-dimensional systems using the bilinear continued fraction expansion. Numerical examples are presented which support the results. The present study is pertinent to the analysis of the stability of two-dimensional filters, used extensively in image processing.	en
heal.publisher	Publ by IEEE, Piscataway, NJ, United States	en
heal.journalName	Proceedings - IEEE International Symposium on Circuits and Systems	en
dc.identifier.doi	10.1109/ISCAS.1988.14934	en
dc.identifier.volume	1	en
dc.identifier.spage	337	en
dc.identifier.epage	344	en