### Details

#### Title

Pointwise completeness and pointwise degeneracy of standard and positive hybrid linear systems described by the general model#### Journal title

Archives of Control Sciences#### Yearbook

2010#### Numer

No 2#### 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

Busłowicz M. (2008), Pointwise completeness and pointwise degeneracy of linear discrete-time systems of fractional order, Zesz. Nauk. Pol. Slaskiej, Automatyka, 151, 19. ; Busłowicz M. (2006), Pointwise completeness and pointwise degeneracy of positive discrete-time systems with delays, Zesz. Nauk. Pol. Slaskiej, Automatyka, 145, 55. ; Choundhury A. (1972), Necessary and sufficient conditions of pointwise completeness of linear time-invariant delay-differential systems, Int. J. Control, 16, 6, 1083. ; Farina L. (2000), Positive linear systems; Theory and applications, doi.org/10.1002/9781118033029 ; Fornasini E. (1976), State-space realization theory of two-dimensional filters, IEEE Trans. on Automatic Control, AC-21, 484. ; Fornasini E. (1978), Double indexed dynamical systems, Math. Sys. Theory, 12, 59, doi.org/10.1007/BF01776566 ; Kaczorek T. (1985), Two-dimensional linear systems. ; Kaczorek T. (2002), Positive 1D and 2D systems, doi.org/10.1007/978-1-4471-0221-2 ; Kaczorek T. (2010), Pointwise completeness and pointwise degeneracy of standard and positive linear systems with state-feedbacks, JAMRIS, 4, 1, 3. ; Kaczorek T. (2009), Pointwise completeness and pointwise degeneracy of standard and positive fractional linear systems with state-feedbacks, Archives of Control Sciences, 19, 295. ; Kaczorek T. (2010), Pointwise completeness and pointwise degeneracy of 2D standard and positive Fornasini-Marchesini models, COMPEL, 39, 3. ; Kaczorek T. (1998), Reachability and minimum energy control of positive 2D continuous-discrete systems, Bull. Pol. Ac. Techn. Sci, 46, 1, 85. ; Kaczorek T. (2007), Positive 2D hybrid linear systems, Bull. Pol. Ac. Techn. Sci, 55, 4, 351. ; Kaczorek T. (2008), Positive fractional 2D hybrid linear systems, Bull. Pol. Ac. Techn. Sci, 56, 3, 273. ; Kaczorek T. (2008), Realization problem for positive 2D hybrid systems, COMPEL, 2, 3, 613, doi.org/10.1108/03321640810861061 ; Kaczorek T. (2009), Pointwise completeness and pointwise degeneracy of linear continuous-time fractional order systems, J. of Automation, Mobile Robotics & Intelligent Systems, 3, 1, 8. ; Kaczorek T. (2008), Solvability of 2D hybrid liner systems- Comparison of three different methods, Acta Mechanica et Automatica, 2, 2, 59. ; Kurek J. (1985), The general state-space model for a two-dimensional linear digital systems, IEEE Trans. on Automatic Control, AC-30, 600. ; Olbrot A. (1972), On degeneracy and related problems for linear constant time-lag systems, Ricerche di Automatica, 3, 3, 203. ; Popov V. (1972), Pointwise degeneracy of linear time-invariant delay-differential equations, Journal of Diff. Equation, 11, 541. ; Roesser R. (1975), A discrete state-space model for linear image processing, IEEE Trans. on Automatic Control, AC-20, 1, 1. ; Trzasko W. (2007), Pointwise completeness of discrete-time cone-systems with delays, null, 606. ; Weiss L. (1970), Controllability for various linear and nonlinear systems models, Lecture Notes in Mathematics, 144, 250.#### DOI

10.2478/v10170-010-0008-5