On Lyapunov and Upper Bohl Exponents of Diagonal Discrete Linear Time-Varying Systems

被引：2

作者：

Czornik, Adam ^{[1
]}

Konyukh, Alexander ^{[2
]}

Konyukh, Iryna ^{[3
]}

Niezabitowski, Michal ^{[1
,4
]}

Orwat, Justyna ^{[5
,6
]}

机构：

[1] Silesian Tech Univ, Fac Automat Control Elect & Comp Sci, PL-44100 Gliwice, Poland

[2] Belarus State Econ Univ, Minsk 220070, BELARUS

[3] Belarusian State Univ Informat & Radioelect, Minsk 220013, BELARUS

[4] Univ Silesia, Inst Math, Fac Math Phys & Chem, PL-40007 Katowice, Poland

[5] Silesian Tech Univ, Fac Min & Geol, PL-44100 Gliwice, Poland

[6] Silesian Tech Univ, Fac Civil Engn, PL-44100 Gliwice, Poland

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2019年 / 64卷 / 12期

关键词：

Time-varying systems; Linear systems; Control theory; Physics; Sociology; Computer science; Discrete linear time-varying system; Lyapunov exponent; upper Bohl exponent; STABILITY;

D O I：

10.1109/TAC.2019.2911848

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we present necessary and sufficient conditions for two given functions to be the Lyapunov and the upper Bohl exponent of a certain discrete linear system with diagonal coefficients. The obtained conditions have a form of easily verifiable algebraic conditions.

引用

页码：5171 / 5174

页数：4

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