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SM ISO690:2012 CHEBAN, David, MAMMANA, Cristiana. Asymptotic Stability of autonomous and Non-Autonomous Discrete Linear Inclusions. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2004, nr. 3(46), pp. 41-52. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 3(46) / 2004 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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Pag. 41-52 | ||||||
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The article is devoted to the study of absolute asymptotic stability of discrete linear inclusions (both autonomous and non-autonomous) in Banach space. We establish the relation between absolute asymptotic stability, uniform asymptotic stability and uniform exponential stability. It is proved that for compact (completely continuous) discrete linear inclusions these notions of stability are equivalent. We study this problem in the framework of non-autonomous dynamical systems (cocyles). |
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Cuvinte-cheie Absolute asymptotic stability, set-valued dynam- ical systems, cocycles, global attractors, uniform exponential stability |
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