ABSOLUTE ASYMPTOTIC STABILITY OF DISCRETE LINEAR INCLUSIONS

Cheban, David; Mammana, Cristiana

dc.contributor.author	Cheban, David
dc.contributor.author	Mammana, Cristiana
dc.date.accessioned	2021-10-18T13:27:45Z
dc.date.available	2021-10-18T13:27:45Z
dc.date.issued	2006
dc.identifier.citation	CHEBAN, David, MAMMANA, Cristiana. Absolute Asymptotic Stability of Discrete Linear Inclusions. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2005, nr. 1(47), pp. 43-68. ISSN 1024-7696.	en
dc.identifier.issn	1024-7696
dc.identifier.uri	http://dspace.usm.md:8080/xmlui/handle/123456789/4935
dc.description.abstract	The article is devoted to the study of absolute asymptotic stability of discrete linear inclusions in Banach (both finite and infinite dimensional) space. We establish the relation between absolute asymptotic stability, asymptotic stability, uniform asymptotic stability and uniform exponential stability. It is proved that for asymptotical compact (a sum of compact operator and contraction) discrete linear inclusions the notions of asymptotic stability and uniform exponential stability are equivalent. It is proved that finite-dimensional discrete linear inclusion, defined by matrices {A1,A2, ...,Am}, is absolutely asymptotically stable if it does not admit nontrivial bounded full trajectories and at least one of the matrices {A1,A2, ...,Am} is asymptotically stable. We study this problem in the framework of non-autonomous dynamical systems (cocyles).	en
dc.language.iso	en	en
dc.publisher	Institutul de Matematică şi Informatică al AŞM	en
dc.subject	absolute asymptotic stability	en
dc.subject	linear non-autonomous dynamical system	en
dc.subject	uniform exponential stability	en
dc.subject	discrete linear inclusions	en
dc.title	ABSOLUTE ASYMPTOTIC STABILITY OF DISCRETE LINEAR INCLUSIONS	en
dc.type	Article	en