Title: | Determination of Positive Realization of Two Dmensional Systems Using Digraph Theory and GPU Computing Method |
Authors: | Markowski, Konrad Andrzej |
Citation: | ISTET 2013: International Symposiumon Theoretical Electrical Engineering: 24th – 26th June 2013: Pilsen, Czech Republic, p. II-7-II-8. |
Issue Date: | 2013 |
Publisher: | University of West Bohemia |
Document type: | konferenční příspěvek conferenceObject |
URI: | http://hdl.handle.net/11025/11472 |
ISBN: | 978-80-261-0246-5 |
Keywords: | pozitivní systémy;2D systémy;teorie spřežek;GPU computing |
Keywords in different language: | positive systems;2D systems;diagraph theory;GPU computing |
Abstract: | In the recent years many researchers were interested in positive two-dimensional (2D) linear systems. Analysis of positive 2D systems is more difficult than of positive onedimensional (1D) systems. A lot of numerical problems that arised in positive 2D systems are unsolved completely, for examples: minimal positive realization problem, determination of lower and upper index reachability, determination of reachability index set, determination of state matrices from characteristic polynomial, etc. In many case this problems cannot be solved analytically by hand. To solve this problems we can use new computational method based on digraph theory and CPU or GPU computing method. A new method of determination positive realization of two-dimensional systems using digraph theory will be proposed. A procedure for computation of the state matrices will be given. The procedure will be illustrated by a numerical example. |
Rights: | © University of West Bohemia |
Appears in Collections: | ISTET 2013 ISTET 2013 ISTET 2013 |
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File | Description | Size | Format | |
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Markowski.pdf | Plný text | 32,65 kB | Adobe PDF | View/Open |
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