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TOMÁŠEK, P.
Original Title
Asymptotic stability regions for certain two parametric full-term linear difference equation
Type
conference paper
Language
English
Original Abstract
We introduce an efficient form of necessary and sufficient conditions for asymptotic stability of the k-th order linear difference equation y(n+k)+a\sum_{j=1}^{k-1}(-1)^j y(n+k-j) + by(n)=0, where a,b are real parameters. The asymptotic stability region in (a,b) plane for this equation will be constructed and discussed with respect to some related linear difference equations.
Keywords
Difference equation; Stability; The Schur-Cohn criterion
Authors
Released
1. 10. 2016
Publisher
Springer
Location
New York
ISBN
978-3-319-32855-3
Book
Differential and Difference Equations with Applications
Edition
Springer Proceedings in Mathematics and Statistics
Edition number
164
2194-1009
Periodical
Springer Proceedings in Mathematics & Statistics
Year of study
State
Federal Republic of Germany
Pages from
323
Pages to
330
Pages count
8
BibTex
@inproceedings{BUT122444, author="Petr {Tomášek}", title="Asymptotic stability regions for certain two parametric full-term linear difference equation", booktitle="Differential and Difference Equations with Applications", year="2016", series="Springer Proceedings in Mathematics and Statistics", journal="Springer Proceedings in Mathematics & Statistics", volume="164", number="164", pages="323--330", publisher="Springer", address="New York", doi="10.1007/978-3-319-32857-7\{_}30", isbn="978-3-319-32855-3", issn="2194-1009" }