Representation of solutions of delayed linear discrete systems with permutable or nonpermutable matrices and second-order differences

Nonhomogeneous delayed linear higher-order discrete systems with second-order differences and multiple delays with linear parts defined by permutable or nonpermutable matrices are considered. Representations of their solutions are obtained by using Z -transform. Our results extend previous results....

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Veröffentlicht in:	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2022-04, Vol.116 (2), Article 58
Hauptverfasser:	Elshenhab, Ahmed M., Wang, Xing Tao
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Discrete systems Mathematical analysis Mathematical and Computational Physics Mathematics Mathematics and Statistics Original Paper Representations Theoretical Z transforms
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Nonhomogeneous delayed linear higher-order discrete systems with second-order differences and multiple delays with linear parts defined by permutable or nonpermutable matrices are considered. Representations of their solutions are obtained by using Z -transform. Our results extend previous results. Finally, examples are given to illustrate our theoretical results.
ISSN:	1578-7303 1579-1505
DOI:	10.1007/s13398-021-01204-2