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1
Content available Stability of continuous-discrete linear systems described by the general model
Kaczorek T.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2011
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Vol. 59, nr 2
189-193
EN
New necessary and sufficient conditions for asymptotic stability of positive continuous-discrete linear systems described by the general 2D model are established. A procedure for checking the asymptotic stability is proposed. The effectiveness of the procedure is demonstrated on examples.
2
Content available Positive realizations of hybrid linear systems described by the general model using the state variable diagram method
Kaczorek T.
Journal of Automation Mobile Robotics and Intelligent Systems
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2010
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Vol. 4, No. 4
3-10
EN
The realization problem for linear hybrid systems described by the general model is formulated and solved. Sufficient conditions for the existence of positive realizations are established. A procedure based on the state variable diagram method for computation of a positive realization of a given transfer matrix is proposed. Effectiveness of the procedure is demonstrated on two examples.
3
Content available Reachability of linear hybrid systems described by the general model
Kaczorek T., Rogowski K.
Archives of Control Sciences
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2010
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Vol. 20, no. 2
199-207
EN
The reachability of standard and positive hybrid linear systems described by the general model is addressed. Necessary and sufficient conditions for the reachability of the standard general model are established. Sufficient condition is given for the reachability of positive hybrid system described by the general model. The considerations are illustrated by numerical examples.
4
Content available Pointwise completeness and pointwise degeneracy of standard and positive hybrid linear systems described by the general model
Kaczorek T.
Archives of Control Sciences
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2010
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Vol. 20, no. 2
123-131
EN
Necessary and sufficient conditions for the pointwise completeness and pointwise degeneracy of the standard and positive hybrid linear systems described by the general model are established. It is shown that the standard general model is always pointwise complete and it is not pointwise degenerated and the positive general model is pointwise complete if and only if its matrix A2 is diagonal.
5
Content available remote The systemic analysis of injection moulding
Catic I., Rujnic-Sokele M.
Polimery
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2002
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T. 47, nr 1
15-21
EN
Theoretical foundations [3, 4] and Rophol's formal definitions are used to carry out a systemic analysis of injection moulding. Technical systems are classified by function classes and major outputs (table 1) [3]. Primary shaping of products [9], e.g., of thermoplastic melts, is described in terms of function classes (eqns. 1, 2). A general model of injection moulding is given (Figs. 1, 2) and systematic analysis of injection moulding, based on Rophol's formal definitions, is carried out.
PL
Przeprowadzono analizę systemową formowania wtryskowego na podstawie m.in. definicji formalnych Ropohla [3]. Klasyfikację układów technicznych wg [3] przedstawiono w tabeli 1. W tych kategoriach opisano proces pierwotnego formowania produktów, np. stopionych polimerów termoplastycznych [równania (1) i (2)]. Przedstawiono ogólny model formowania wtryskowego (rys. 1, 2) oraz zestaw odpowiednich równań [(3)-(13)].
6
Content available remote Solutions of Standard Models Equivalent to Singular 2D Models
Kaczorek T.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2000
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Vol. 48, nr 1
93-104
EN
A new extended Roesser type model is introduced and its solution is derived. Sufficient conditions are established under which a singular 2D general model can be reduced to standard 2D general models. Solution to the new model is also derived.
7
Content available remote Equivalence of nD Singular Roesser and Fornasini-Marchesini Models
Kaczorek T.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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1999
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Vol. 47, nr 3
235-246
EN
A new nD Roesser model with extended inputs is introduced. nD Roesser models with square matrices and extended inputs equivalent to the singular nD Fornasini-Marchesini models and nD Fornasini-Marchesini models with square matrices equivalent to the singular nD Roesser models are derived. A formula determination the solution of standard 2D Roesser model with extended inputs is also derived.
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