Stability of Linear Discrete Systems with Variable Delays

被引：1
|
作者：
Bastinec, Jaromir [1 ]
Diblik, Josef [1 ]
Khusainov, Denys [1 ]
机构：
[1] Brno Univ Technol, CEITEC, Cent European Inst Technol, Purkynova 656-123, Brno 61200, Czech Republic
来源：
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017) | 2018年 / 1978卷
关键词：
CONSTANT-COEFFICIENTS; EXPONENTIAL STABILITY;
D O I：
10.1063/1.5044020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper studies the stability of linear systems of difference equations with single delay x(k + 1) = Ax (k) + Sigma(l)(s=1) B-s(k)x(k - m(s)(k)), k = 0,1... where l >= 1, A is a constant n x n matrix, B-x(k) are n x n matrices. m(s)(k) is an element of N boolean OR {0} and In m(s) <= m for an m is an element of N. Sufficient conditions for the stability are derived using the method of Lyapunov functions.
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页数：4
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