### 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#### Publication authors

#### Divisions of PAS

Nauki Techniczne#### Description

Archives of Control Sciences welcomes for consideration papers on topics of significance in broadly understood control science and related areas, including: basic control theory, optimal control, optimization methods, control of complex systems, mathematical modeling of dynamic and control systems, expert and decision support systems and diverse methods of knowledge modelling and representing uncertainty (by stochastic, set-valued, fuzzy or rough set methods, etc.), robotics and flexible manufacturing systems. Related areas that are covered include information technology, parallel and distributed computations, neural networks and mathematical biomedicine, mathematical economics, applied game theory, financial engineering, business informatics and other similar fields.

Aims and Scope: Archives of Control Sciences publishes papers in the broadly understood field of control science and related areas while promoting the closer integration of the Polish, as well as other Central and East European scientific communities with the international world of science.

#### 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