Positivity of discrete singular systems and their stability: An LP-based approach
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Positivity of discrete singular systems and their stability: An LP-based approachData de publicació
2014-01Editor
ElsevierISSN
0005-1098Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.sciencedirect.com/science/article/pii/S0005109813005025Versió
info:eu-repo/semantics/sumittedVersionParaules clau / Matèries
Resum
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. [-]
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Automatica, 2014, Vol. 50, n. 1Drets d'accés
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