Asymptotic stability of positive fractional 2D linear systems

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Słowa kluczowe

EN

asymptotic stability; fractional; positive; 2D linear system

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2009
• Tom: Vol. 57, nr 3
• Strony: 289--292
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Kaczorek T.

• Faculty of Electrical Engineering, Biatysłok Technical University, 45D Wiejska St., 15-351 Białystok,

Bibliografia

• [1] L. Farina and S. Rinaldi, Positive Linear Systems; Theory and Applications, J. Wiley, New York, 2000.
• [2] T. Kaczorek, Positive ID and 2D Systems, Springer-Verlag, London, 2002.
• [3] R.P. Roesser, "A discrete state-space model for linear image processing", IEEE Trans. Autom. Contr. AC-20 (1), 1-10 (1975).
• [4] E. Fornasini and G. Marchesini, "State-space realization theory of two-dimensional filters", IEEE Trans. Autom. Contr. AC-21, 484-491 (1976).
• [5] E. Fornasini and G. Marchesini, "Double indexed dynamical systems", Math. Sys. Theory 12, 59-72 (1978).
• [6] J. Kurek, "The general state-space model for a two-dimensional linear digital systems", IEEE Trans. Autom. Contr. AC-30, 600-602 (1985).
• [7] T. Kaczorek, "Reachability and controllability of non-negative 2D Roesser type models", Bull Pol. Ac.: Tech. 44 (4), 405-410 (1966).
• [8] M.E, Valchcr, "On the initial stability and asymptotic behavior of 2D positive systems", IEEE Trans, on Circuits and Systems 44(7), 602-613 (1977).
• [9] T. Kaczorek, "Asymptotic stability of positive ID and 2D linear systems", Recent Advances in Control and Automation 1, 41-52 (2008).
• [10] M. Twardy, "An LMI approach to checking stability of 2D positive systems", Bull. Pol. Ac.: Tech. 55 (4), 385-393 (2007).
• [11] M. Busłowicz, "Robust stability of positive discrete-time linear systems with multiple delays with unity rank uncertainty structure or non-negative perturbation matrices". Bull. Pol. Ac.: Tech. 55 (1), 347-350 (2007).
• [12] M. Bustowicz, "Robust stability of convex combination of two fractional degree characteristic polynomials", Ada Mechanics el Automatica 2 (2), 5-10 (2008).
• [13] T. Kaczorek, "Reachability and controllability to zero tests for standard and positive fractional discrete-time systems", J. Automation and System Engineering, (2009), (to be published).
• [14] T. Kaczorek, "Reachability and controllability to zero of positive fractional discrete-time systems". Machine Intelligence an Robotic Control 6 (4), 411-413 (2007).
• [15] T. Kaczorek, "Reachability and controllability to zero of cone fractional linear systems", Archives of Control Sciences 17 (3) 357-367 (2007).
• [16] T. Kaczorek, "Fractional positive continuous-time linear systems and their reachability", Int. .J. Appl. Math. Komput. Sci. 18(2), 223-228 (2008).
• [17] M. Bustowicz and T. Kaczorek, "Simple conditions for practical stability of positive fractional discrete-time linear systems", J. Automation and System Engineering, (2009), (to published).
• [18] T. Kaczorek, "Practical stability of positive fractional 2D linear systems", Bull. Pol. Ac.: Tech. 56
• [19] T. Kaczorek, "Independence of the asymptotic stability of 2D linear systems with delays of their delays", Int. J. Appl. Math. Comput. Sci. 19, (2009), (to be published).
• [20] T. Kaczorek, "LMI approach to stability of 2D positive systems with delays", Multidimensional Systems and Signal Processing 18 (3), 277-279 (2008).
• [21] T. Kaczorek, "Positive different orders fractional 2D linear systems", Acta Mechanica et Automatica 2 (2), 51-58 (2008).
• [22] N.K. Bose, Multidimensional Systems Theory Progress, Discrections and Open Problems, Reidel Publishing Co., Boston 1985.
• [23] T. Kaczorek, "Asymptotic stability of positive 2D linear systems 13th Proc. Scientific Conf. Computer Applications Electrical Engineering 4, 14-16 (2008).