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Positivity and stabilization of fractional 2D Roesser model by state-feedbacks, LMI approach

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Języki publikacji
EN
Abstrakty
EN
LMI approach is applied to compute a gain matrix of state-feedbacks such that the closed-loop system is positive and asymptotically stable. Necessary and suffiecient conditions for the solvability of the problem are established. The proposed method is illustrated by two numerical examples.
Rocznik
Strony
165--177
Opis fizyczny
Bibliogr. 30 poz., rys.
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autor
Bibliografia
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  • [11] T. KACZOREK: Positive ID and 2D systems. Springer-Yerlag, London, 2001.
  • [12] T. KACZOREK: Reachability and minimum energy control of positive 2D systems with delays. Control and Cybernetics, 34(2), (2005), 411-423.
  • [13] T. KACZOREK: Reachability and controllability to zero of positive fractional discrete-time systems. Machinę Intelligence and Robotic Control, 6(4), (2007).
  • [14] T. KACZOREK: Asymptotic stability of positive ID and 2D linear systems, Recent advances in control and automation. Acad. Publ. House EXIT, 2008, 41-52.
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  • [16] T. KACZOREK: Positive different orders fractional 2D linear systems. Acta Me-chanica et Automatica, 2(2), (2008), 51-58.
  • [17] T. KACZOREK: LMI approach to stability of 2D positive systems. Multidimen-sional Systems and Signal Processing, 20( 1), (2009), 39-54.
  • [18] T. KACZOREK: Positive 2D fractional linear systems. COMPEL, 28(2), (2009), 341-352.
  • [19] T. KACZOREK: Positivity and stabilization of 2D linear systems. Control and Optimizaton, (2009).
  • [20] T. KACZOREK: Asymptotic stability of positive 2D linear systems. Proc. XIII Scientific Conference Computer Applications in Electrical Engineering, Poznań, Poland, (2008), 1-5.
  • [21] T. KACZOREK: Stabilization of fractional discrete-time linear systems using state feedbacks. Proc. Conf. LogiTrans, Szczyrk, Poland, (2009).
  • [22] T. KACZOREK and K. ROGOWSKI: Positivity and stabilizaton of fractional 2D linear systems described by Roesser model. Methods and Models in Automation and Robotics, (2009), (sumbitted).
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  • [30] M. E. VALCHER: On the internal stability and asymptotic behavior of 2D positive systems. IEEE Trans, on Circuits and Systems -1, 44(7), (1997), 602-613.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0061-0009
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