Positivity of discrete singular systems and their stability: An LP-based approach
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Título
Positivity of discrete singular systems and their stability: An LP-based approachFecha de publicación
2014-01Editor
ElsevierISSN
0005-1098Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.sciencedirect.com/science/article/pii/S0005109813005025Versión
info:eu-repo/semantics/sumittedVersionPalabras clave / Materias
Resumen
In this paper we present an efficient approach to the analysis of discrete positive singular systems. One of our main objectives is to investigate the problem of characterizing positivity of such systems. Previously, ... [+]
In this paper we present an efficient approach to the analysis of discrete positive singular systems. One of our main objectives is to investigate the problem of characterizing positivity of such systems. Previously, this issue was not completely addressed. We provide easily checkable necessary and sufficient conditions for such problem to be solved. On the other hand, we study the stability of discrete positive singular systems. Note that this is not a trivial problem since the set of admissible initial conditions is not the whole space but it is represented by a special cone. All the conditions we provide are necessary and sufficient, and are based on a reliable computational approach via linear programming. [-]
Publicado en
Automatica, 2014, Vol. 50, n. 1Derechos de acceso
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