Exponential Stability of Linear Discrete Systems with Multiple Delays
Joint Authors
Baštinec, Jaromír
Diblík, J.
Khusainov, Denys Ya.
Demchenko, H.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-01
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with multiple delays xk+1=Axk+∑i=1sBixk-mi, k=0,1,…, where s∈N, A and Bi are square matrices, and mi∈N.
New criterion for exponential stability is proved by the Lyapunov method.
An estimate of the norm of solutions is given as well and relations to the well-known results are discussed.
American Psychological Association (APA)
Baštinec, Jaromír& Demchenko, H.& Diblík, J.& Khusainov, Denys Ya.. 2018. Exponential Stability of Linear Discrete Systems with Multiple Delays. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1152959
Modern Language Association (MLA)
Baštinec, Jaromír…[et al.]. Exponential Stability of Linear Discrete Systems with Multiple Delays. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-7.
https://search.emarefa.net/detail/BIM-1152959
American Medical Association (AMA)
Baštinec, Jaromír& Demchenko, H.& Diblík, J.& Khusainov, Denys Ya.. Exponential Stability of Linear Discrete Systems with Multiple Delays. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1152959
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152959
