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An LMI approach to checking stability of 2D positive systems

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Abstrakty
EN
Two-dimensional (2D) positive systems are 2D state-space models whose state, input and output variables take only nonnegative values. In the paper we explore how linear matrix inequalities (LMIs) can be used to address the stability problem for 2D positive systems. Necessary and sufficient conditions for the stability of positive systems have been provided. The results have been obtained for most popular models of 2D positive systems, that is: Roesser model, both Fornasini-Marchesini models (FF-MM and SF-MM) and for the general model.
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autor
  • Faculty of Electrical Engineering, Warsaw University of Technology, 75 Koszykowa St., 00-625 Warszawa, Poland, mtwardy@ee.pw.edu.pl
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG5-0028-0016
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