### Details

#### Title

Computation of positive realization of MIMO hybrid linear systems in the form of second Fornasini-Marchesini model#### Journal title

Archives of Control Sciences#### Yearbook

2010#### Numer

No 3#### Authors

#### Divisions of PAS

Nauki Techniczne#### Publisher

Committee of Automatic Control and Robotics PAS#### Date

2010#### Identifier

ISSN 1230-2384#### References

Benvenuti L. (2004), A tutorial on the positive realization problem, IEEE Trans. Autom. Control, 49, 5, 651. ; Farina L. (2000), Positive linear systems. Theory and applications, doi.org/10.1002/9781118033029 ; Kaczorek T. (2004), Reachability and minimum energy control of positive linear discrete-time systems with one delay, null. ; Kaczorek T. (2003), Some recent developments in positive systems, null, 25. ; Kaczorek T. (2002), Positive 1D and 2D systems, doi.org/10.1007/978-1-4471-0221-2 ; Kaczorek T. (2006), A realization problem for positive continuous-time linear systems with reduced numbers of delay, Int. J. Appl. Math. Comp. Sci, 16, 3, 325. ; Kaczorek T. (2006), Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs, Int. J. Appl. Math. Comp. Sci, 16, 2, 101. ; Kaczorek T. (2004), Realization problem for positive discrete-time systems with delay, System Science, 30, 4, 117. ; Kaczorek T. (2005), Positive minimal realizations for singular discrete-time systems with delays in state and delays in control, Bull. Pol. Acad. Sci. Techn, 53, 3, 293. ; Kaczorek T. (2004), Minimal realization problem for positive multivariable linear systems with delay, Int. J. Appl. Math. Comput. Sci, 14, 2, 181. ; Kaczorek T. (2007), Positive 2D hybrid linear systems, Bull. Pol. Acad. Sci. Techn, 55, 4, 351. ; Kaczorek T. (2008), Realization problem for positive 2D hybrid systems, COMPEL: The Int. J. for Computation and Mathematics in Electrical and Electronic Engineering, 27, 3, 613. ; Klamka J. (1991), Controllability of dynamical systems. ; Kurek J. (1985), The general state-space model for a two-dimensional linear digital system, IEEE Trans. Austom. Contr, AC-30, 600. ; Marchenko V. (2004), Relative controllability of stationary hybrid systems, null, 267. ; Marchenko V. (2006), On the observability of linear differential-algebraic systems with delays, IEEE Trans. Autom. Contr, 51, 8, 1387. ; Roesser R. (1975), A discrete state-space model for linear image processing, IEEE Trans. Autom. Contr, AC-20, 1, 1. ; Valcher M. (1997), On the initial stability and asymptotic behavior of 2D positive systems, IEEE Trans. on Circuits and Systems, I, 44, 7, 602.#### DOI

10.2478/v10170-010-0017-4