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Universidad de la Costa, CUC. Calle 58 # 55 - 66. Barranquilla, Colombia. 336 22 00. repositorioredicuc@cuc.edu.co. Corporación Universidad de la Costa.

Average reachability of continuous-time Markov jump linear systems and linear Markovian state observers

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Average reachability of continuous-time Markov jump linear systems and linear Markovian state observers (7.002Kb)
Date
2018
Author
Narvaez Alfredo, Roa Rafael
Costa, Eduardo Fontoura
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URI: http://hdl.handle.net/11323/1672
Citar con DOI: DOI: 10.1109/CDC.2017.8264104

Abstract

Stability of state estimators for Markov jump linear systems featuring time-varying and correlated noise processes are studied in this paper. Three conditions for stability are presented, starting with a more general one requiring positiveness of the covariance of the error estimate, and is applicable to a class of filters that contains the well known linear minimum mean square estimators. It is then derived a more strict condition based on the plant parameters only, which may be interpreted as requiring that the state additive noise pervades every system dynamics. Finally, we consider a structural notion linked with the reachability gramian and we show it is a sufficient condition for the previous ones to be fulfilled, thus linking the filter stability with the structure of the plant, and present a simple rank test. Illustrative examples are included.
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Universidad de la Costa, CUC

  • Calle 58 # 55 - 66. Barranquilla, Colombia

  • 336 22 00

  • repositorioredicuc@cuc.edu.co

Corporación Universidad de la Costa CUC, Personería Jurídica con Resolución No. 352 del 23 de abril de 1971 y reconocida como Universidad mediante resolución 3235 del 28 de marzo de 2012 expedida por el MEN. Institución de Educación Superior sujeta a inspección y vigilancia por el Ministerio de Educación Nacional.

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  • Recuperador Primo

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