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The bang-bang principle for a class of uncertain evolution linear differential in Hilbert spaces

El principio de todo o nada para una clase de ecuaciones diferenciales de evolución inciertas en espacios de Hilbert

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Trabajos de Investigacion Operativa

Abstract

This paper deals with the problem of time-varying differential systems when unmodeled dynamics in present. The questions related to when unmodeled dynamics (in fact when parametrical and order errors) does not affect for problems like controllability and related ones with respect to the foreseen results for a correct modelling are investigated for a wide class of typical situations. The presented results seem to be of interest in Physics when modelling uncertainties are present. Only the linear case in considered.

Resumen

Este trabajo estudia el problema de ecuaciones diferenciales y sistemas variables en el tiempo cuando existe dinámica no modelizada. Esta dinámica se cuantifica en términos de cambios en los parámetros u oŕdenes de la ecuación diferencial. Se estudia el mantenimiento de la controlabilidad con respecto al caso lineal. El estudio se restringe al caso lineal.

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Authors and Affiliations

  1. Departmento de Automática e Informatica Facultad de Ciencias, Universidad del País Vasco, Leioa (Bizkaia), Spaña

    Sen M. De La

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  1. Sen M. De La
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De La Sen, M. The bang-bang principle for a class of uncertain evolution linear differential in Hilbert spaces. Trabajos de Investigacion Operativa 4, 83–97 (1989). https://doi.org/10.1007/BF02888342

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  • DOI: https://doi.org/10.1007/BF02888342

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