### Details

#### Title

Asymptotic stability of positive fractional 2D linear systems

#### Journal title

Bulletin of the Polish Academy of Sciences: Technical Sciences

#### Yearbook

#### Numer

#### Publication authors

#### Divisions of PAS

#### Publisher

#### Date

#### Identifier

ISSN 0239-7528, eISSN 2300-1917

#### 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.

#### DOI

10.2478/v10175-010-0131-2