Exponential Stability of Linear Discrete Systems with Variable Delays via Lyapunov Second Method
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-23
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The paper investigates the exponential stability of a linear system of difference equations with variable delays xk+1=Axk+∑i=1sBikxk-mik, k=0,1,… , where s∈N, A is a constant square matrix, Bik are square matrices, mik∈N∪0, and mik≤m for an m∈N.
New criteria for exponential stability are derived using the method of Lyapunov functions and formulated in terms of the norms of matrices of linear terms and matrices solving an auxiliary Lyapunov equation.
An exponential-type estimate of the norm of solutions is given as well.
The efficiency of the derived criteria is numerically demonstrated by examples and their relations to the well-known results are discussed.
American Psychological Association (APA)
Diblík, Josef. 2017. Exponential Stability of Linear Discrete Systems with Variable Delays via Lyapunov Second Method. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1151729
Modern Language Association (MLA)
Diblík, Josef. Exponential Stability of Linear Discrete Systems with Variable Delays via Lyapunov Second Method. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1151729
American Medical Association (AMA)
Diblík, Josef. Exponential Stability of Linear Discrete Systems with Variable Delays via Lyapunov Second Method. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1151729
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151729
