ASYMPTOTIC STABILITY OF AUTONOMOUSAND NON-AUTONOMOUS DISCRETE LINEAR INCLUSIONS
Date
2004
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Institutul de Matematică şi Informatică al AŞM
Abstract
The article is devoted to the study of absolute asymptotic stability ofdiscrete linear inclusions (both autonomous and non-autonomous) in Banach space.We establish the relation between absolute asymptotic stability, uniform asymptoticstability and uniform exponential stability. It is proved that for compact (completelycontinuous) discrete linear inclusions these notions of stability are equivalent. Westudy this problem in the framework of non-autonomous dynamical systems (cocyles).
Description
Keywords
absolute asymptotic stability, uniform exponential stability, cocycles
Citation
CHEBAN, David, MAMMANA, Cristiana. Asymptotic Stability of autonomous and Non-Autonomous Discrete Linear Inclusions. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2004, nr. 3(46), pp. 41-52. ISSN 1024-7696.