Weak Pullback Attractors of Non-Autonomous Difference Inclusions

Weak pullback attractors are defined for non-autonomous difference inclusions and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and pullback attraction here are required only for (at least) a single trajectory r...

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Detalhes bibliográficos
Autores: Kloeden, Peter E., Marín Rubio, Pedro
Tipo de documento: artigo
Estado:Versión enviada para evaluación y publicación
Data de publicação:2003
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/25957
Acesso em linha:http://hdl.handle.net/11441/25957
https://doi.org/10.1080/1023619031000076515
Access Level:Acceso aberto
Palavra-chave:Difference inclusion
Pullback attraction
Weak invariance
Weak attractor
Descrição
Resumo:Weak pullback attractors are defined for non-autonomous difference inclusions and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and pullback attraction here are required only for (at least) a single trajectory rather than all trajectories at each starting point. The concept is thus useful, in particular, for discrete time control systems.