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Positive fractional 2D hybrid linear systems

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Języki publikacji
EN
Abstrakty
EN
A new class of positive fractional 2D hybrid linear systems is introduced. The solution of the hybrid system is derived. The classical Cayley-Hamilton theorem is extended for fractional 2D hybrid systems. Necessary and sufficient conditions for the positivity are established.
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autor
  • Faculty of Electrical Engineering, Bialystok Technical University, 45D Wiejska St, 15-351 Bialystok, Poland, kaczorek@isep.pw.edu.pl
Bibliografia
  • [1] L. Farina and S. Rinaldi, Positive Linear Systems: Theory and Applications, J. Whey, New York, 2000.
  • [2] T. Kaczorek, Positive 1 D and 2D Systems, Springer-Verlag, London, 2002.
  • [3] T. Kaczorek, "Some recent developments in positive systems", Proc. 7th Conf. Dynamical Systems Theory and Applications, 25-35 (2003).
  • [4] L. Benvenuti and L. Farina, "A tutorial on the positive realization problem", IEEE Trans. Autom. Control 49 (5), 651-664, 2004.
  • [5] T. Kaczorek, "A realization problem for positive continuous time linear systems with reduced number of delay", Int. J. Appl. Math. Comp. Sci. 3,325-331,2006.
  • [6] T. Kaczorek, "Realization problem for positive continuous time systems with reduced numbers of delays", Int. J. Appl. Math. Comput. Sci. 16 (3), 101-107 (2006).
  • [7] T. Kaczorek, "Realization problem for positive discrete-time systems with delay", System Science 30 (4), 17-30 (2004).
  • [8] T. Kaczorek, Positive minimal realizations for singular discrete-time systems with delays in state and control, Bull. Pol. Ac.: Tech., 53 (3), 293-298 (2005).
  • [9] T. Kaczorek and M. Buslowicz, "Minimal realization problem for positive multi variable 'linear systems with delay", Int. J. Appl. Math. Comput. Sci. 14 (2), 181-187 (2004).
  • [10] T. Kaczorek and M. Buslowicz, "Reach ability and minimum energy control of positive linear discrete-time systems with multiple delays in state and controls", Measurements Automatics Control 53 (10), 1-5 (2007), (in Polish).
  • [11] V.M. Marchenko and O.N. Poddubnaya, "Relative controllability of stationary hybrid systems", 10th IEEE Int. Conf. Methods and Models in Automation and Robitics, 267-272 (2004).
  • [12] V.M. Marchenko, O.N. Poddubnaya, and Z. Zaczkiewicz, "On the observability of linear differential-algebraic systems with delays", IEEE Trans. Autom. Contr. 51 (8), 1387-1392 (2006).
  • [13] T. Kaczorek, "Positive 2D hybrid linear systems", Bull. Pol. Ac.: Tech. 55 (4), 351-358 (2007).
  • [14] T. Kaczorek, "Fractional positive continuous-time linear systems and their reach ability", Int. J. Appl. Math. Sci 1, (2008).
  • [15] J. Klamka, Controllability of Dynamical Systems, Kluwer Academic Publ., Dordrecht, 1991.
  • [16] RE. Roesser, "A discrete state-space model for linear image processing", IEEE Trans. Autom. Contr. AC-20 (1), 1-10 (1975).
  • [17] J. Kurek, "The general state-space model for a two-dimensional linear digital system", IEEE Trans. Autom. Contr. AC-30, 600-602 (1985).
  • [18] M.E. Valcher, "On the initial stability and asymptotic behaviour of 2D positive systems", IEEE Trans on Circuits and Systems 44 (7), 602-613 (1997).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG5-0034-0015
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