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General Explicit Solution of Planar Weakly Delayed Linear Discrete Systems and Pasting Its Solutions
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-37, 37 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-29
Country of Publication
Egypt
No. of Pages
37
Main Subjects
Abstract EN
Planar linear discrete systems with constant coefficients and delays x(k+1)=Ax(k)+∑l=1nBlxl(k-ml) are considered where k∈ℤ0∞:={0,1,…,∞}, m1,m2,…,mn are constant integer delays, 0 It is assumed that the considered system is weakly delayed. The characteristic equations of such systems are identical with those for the same systems but without delayed terms. In this case, after several steps, the space of solutions with a given starting dimension 2(mn+1) is pasted into a space with a dimension less than the starting one. In a sense, this situation is analogous to one known in the theory of linear differential systems with constant coefficients and special delays when the initially infinite dimensional space of solutions on the initial interval turns (after several steps) into a finite dimensional set of solutions. For every possible case, explicit general solutions are constructed and, finally, results on the dimensionality of the space of solutions are obtained.
American Psychological Association (APA)
Diblík, J.& Halfarová, Hana. 2014. General Explicit Solution of Planar Weakly Delayed Linear Discrete Systems and Pasting Its Solutions. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-37.
https://search.emarefa.net/detail/BIM-1033886
Modern Language Association (MLA)
Diblík, J.& Halfarová, Hana. General Explicit Solution of Planar Weakly Delayed Linear Discrete Systems and Pasting Its Solutions. Abstract and Applied Analysis No. 2014 (2014), pp.1-37.
https://search.emarefa.net/detail/BIM-1033886
American Medical Association (AMA)
Diblík, J.& Halfarová, Hana. General Explicit Solution of Planar Weakly Delayed Linear Discrete Systems and Pasting Its Solutions. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-37.
https://search.emarefa.net/detail/BIM-1033886
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033886