Properties of convergence of a class of iterative processes generated by sequences of self-mappings with applications to switched dynamic systems
| Data(s) |
01/10/2015
01/10/2015
15/12/2014
|
|---|---|
| Resumo |
This article investigates the convergence properties of iterative processes involving sequences of self-mappings of metric or Banach spaces. Such sequences are built from a set of primary self-mappings which are either expansive or non-expansive self-mappings and some of the non-expansive ones can be contractive including the case of strict contractions. The sequences are built subject to switching laws which select each active self-mapping on a certain activation interval in such a way that essential properties of boundedness and convergence of distances and iterated sequences are guaranteed. Applications to the important problem of stability of dynamic switched systems are also given. |
| Identificador |
Journal of Inequalities and Applications 15 2014 : (2014) // ID Article 498 1029-242X http://hdl.handle.net/10810/15738 10.1186/1029-242X-2014-498 |
| Idioma(s) |
eng |
| Publicador |
Springer International Publishing |
| Relação |
http://www.journalofinequalitiesandapplications.com/content/2014/1/498/abstract |
| Direitos |
2014 Sen and Ibeas; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited. info:eu-repo/semantics/openAccess |
| Palavras-Chave | #discrete-continuous systems #time-invariant systems #proximity points #differential-equations #adaptive-control #cyclic mappings #metric-spaces #stability #delays #positivity #expansive #non-expansive #contractive and strictly contractive self-mappings #switched dynamic systems #convergence #fixed point |
| Tipo |
info:eu-repo/semantics/article |
