Details Details PDF BIBTEX RIS Title Asymptotic stability of positive fractional 2D linear systems Journal title Bulletin of the Polish Academy of Sciences Technical Sciences Yearbook 2009 Volume vol. 57 Issue No 3 Authors Kaczorek, T. Divisions of PAS Nauki Techniczne Coverage 289-292 Date 2009 Identifier DOI: 10.2478/v10175-010-0131-2 ; ISSN 2300-1917 Source Bulletin of the Polish Academy of Sciences: Technical Sciences; 2009; vol. 57; No 3; 289-292 References Farina L. (2000), Positive Linear Systems; Theory and Applications. ; Kaczorek T. (2002), Positive 1D and 2D Systems. ; Roesser R. (1975), A discrete state-space model for linear image processing, IEEE Trans. Autom. Contr, AC-20, 1, 1. ; Fornasini E. (1976), State-space realization theory of two-dimensional filters, IEEE Trans. Autom. Contr, C-21, 484. ; Fornasini E. (1978), Double indexed dynamical systems, Math. Sys. Theory, 12, 59. ; Kurek J. (1985), The general state-space model for a two-dimensional linear digital systems, IEEE Trans. Autom. Contr, AC-30, 600. ; Kaczorek T. (1966), Reachability and controllability of non-negative 2D Roesser type models, Bull. Pol. Ac.: Tech, 44, 4, 405. ; Valcher M. (1977), On the initial stability and asymptotic behavior of 2D positive systems, IEEE Trans. on Circuits and Systems, 44, 7, 602. ; Kaczorek T. (2008), Asymptotic stability of positive 1D and 2D linear systems, Recent Advances in Control and Automation, 1, 41. ; Twardy M. (2007), An LMI approach to checking stability of 2D positive systems, Bull. Pol. Ac.: Tech, 55, 4, 385. ; Busłowicz M. (2007), 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. ; Busłowicz M. (2008), Robust stability of convex combination of two fractional degree characteristic polynomials, Acta Mechanica et Automatica, 2, 2, 5. ; Kaczorek T. (2009), Reachability and controllability to zero tests for standard and positive fractional discrete-time systems, J. Automation and System Engineering. ; Kaczorek T. (2007), Reachability and controllability to zero of positive fractional discrete-time systems, Machine Intelligence and Robotic Control, 6, 4, 411. ; Kaczorek T. (2007), Reachability and controllability to zero of cone fractional linear systems, Archives of Control Sciences, 17, 3, 357. ; Kaczorek T. (2008), Fractional positive continuous-time linear systems and their reachability, Int. J. Appl. Math. Comput. Sci, 18, 2, 223. ; Busłowicz M. (2009), Simple conditions for practical stability of positive fractional discrete-time linear systems, J. Automation and System Engineering. ; Kaczorek T. (2008), Practical stability of positive fractional 2D linear systems, Bull. Pol. Ac.: Tech, 56, 4, 405. ; Kaczorek T. (2009), Independence of the asymptotic stability of the 2D linear systems with delays of their delays, Int. J. Appl. Math. Comput. Sci, 19. ; Kaczorek T. (2008), LMI approach to stability of 2D positive systems with delays, Multidimensional Systems and Signal Processing, 18, 3, 277. ; Kaczorek T. (2008), Positive different orders fractional 2D linear systems, Acta Mechanica et Automatica, 2, 2, 51. ; Bose N. (1985), Multidimensional Systems Theory Progress, Directions and Open Problems. ; Kaczorek T. (2008), Asymptotic stability of positive 2D linear systems, null, 4, 14.