Details Details PDF BIBTEX RIS Title Asymptotic stability of positive 2D linear systems with delays Journal title Bulletin of the Polish Academy of Sciences Technical Sciences Yearbook 2009 Volume vol. 57 Issue No 2 Authors Kaczorek, T. Divisions of PAS Nauki Techniczne Coverage 133-138 Date 2009 Identifier DOI: 10.2478/v10175-010-0113-4 ; ISSN 2300-1917 Source Bulletin of the Polish Academy of Sciences: Technical Sciences; 2009; vol. 57; No 2; 133-138 References Roesser R. (1975), A discrete state-space model for linear image processing, IEEE Trans. Autom. Contr, AC-20, 1, doi.org/10.1109/TAC.1975.1100844 ; Fornasini E. (1976), State-space realization theory of two-dimensional filters, IEEE Trans, Autom. Contr, AC-21, 481. ; Fornasini E. (1978), Double indexed dynamical systems, Math. Sys. Theory, 12, 59, doi.org/10.1007/BF01776566 ; Kurek J. (1985), The general state-space model for a two-dimensional linear digital systems, IEEE Trans. Autom. Contr, AC-30, 600, doi.org/10.1109/TAC.1985.1103998 ; Kaczorek T. (1996), Reachability and controllability of non-negative 2D Roesser type models, Bull. Pol. Ac.: Tech, 44, 4, 405. ; Valcher M. (1997), On the internal stability and asymptotic behavior of 2D positive systems, IEEE Trans. on Circuits and Systems, 44, 7, 602, doi.org/10.1109/81.596941 ; Kaczorek T. (2005), Reachability and minimum energy control of positive 2D systems with delays, Control and Cybernetics, 34, 2, 411. ; Kaczorek T. (2001), Positive 1D and 2D Systems. ; Bose N. (1982), Applied Multidimensional System Theory. ; Bose N. (1985), Multidimensional Systems Theory Progress, Directions and Open Problems, doi.org/10.1007/978-94-009-5225-6 ; Gałkowski K. (1997), Elementary operation approach to state space realization of 2D systems, IEEE Trans. on Circuit and Systems, 44, 120, doi.org/10.1109/81.554329 ; Gałkowski K. (2001), State Space Realizations of Linear 2D Systems with Extensions to the General nD (n > 2) Case. ; Kaczorek T. (1985), Two-dimensional Linear Systems. ; Farina L. (2000), Positive Linear Systems; Theory and Applications, doi.org/10.1002/9781118033029 ; Kaczorek T. (2007), Choice of the forms of Lyapunov functions for positive 2D Roesser model, Int. J. Applied Math. and Comp. Science, 17, 4, 471, doi.org/10.2478/v10006-007-0039-7 ; Kaczorek T. (2006), Positive 2D systems with delays, null, 28. ; Kaczorek T. (2006), Minimal positive realizations for discrete-time systems with state time-delays, The Int. J. Comp. and Math. in Elec. and Electronics Eng, 25, 4, 812, doi.org/10.1108/03321640610684015 ; Kaczorek T. (2003), Realizations problem for positive discrete-time systems with delays, Systems Science, 29, 1, 15. ; Kaczorek T. (2004), Realization problem for positive 2D systems with delays, Machine Intelligence and Robotic Control, 6, 2, 61. ; Hmamed A. (2009), Controller synthesis for positive 2D systems described by the Roesser model, IEEE Trans. on Circuits and Systems. ; Kaczorek T. (2008), Asymptotic stability of positive 2D linear systems, null.