Properties of convergence of a class of iterative processes generated by sequences of self-mappings with applications to switched dynamic systems
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 b...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universidad del País Vasco |
| Repositorio: | Addi. Archivo Digital para la Docencia y la Investigación |
| OAI Identifier: | oai:addi.ehu.eus:10810/15738 |
| Acceso en línea: | http://hdl.handle.net/10810/15738 |
| Access Level: | acceso abierto |
| Palabra clave: | 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 ANALYSIS DISCRETE MATHEMATICS AND COMBINATORICS MATHEMATICS, APPLIED |
| Sumario: | 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. |
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