Asymptotic stability of positive 2D linear systems with delays

Journal title

Bulletin of the Polish Academy of Sciences: Technical Sciences




vol. 57


No 2


Divisions of PAS

Nauki Techniczne






ISSN 2300-1917


Roesser R. (1975), A discrete state-space model for linear image processing, IEEE Trans. Autom. Contr, AC-20, 1, ; 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, ; Kurek J. (1985), The general state-space model for a two-dimensional linear digital systems, IEEE Trans. Autom. Contr, AC-30, 600, ; 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, ; 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, ; Gałkowski K. (1997), Elementary operation approach to state space realization of 2D systems, IEEE Trans. on Circuit and Systems, 44, 120, ; 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, ; 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, ; 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, ; 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.