Stability of two-parameter discrete systems with nonnegative coefficients

被引：0

作者：

I. V. Gaishun

机构：

[1] National Academy of Sciences,Institute for Mathematics

来源：

Differential Equations | 2015年 / 51卷

关键词：

Asymptotic Stability; Spectral Radius; Shift Operator; Characteristic Number; Positive Matrix;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For a shift operator in the space of bounded sequences, we prove an analog of the classical Perron theorem on the spectrum of a positive matrix, which is then used to study the asymptotic properties of two-parameter discrete systems with nonnegative coefficients.

引用

页码：586 / 591

页数：5

共 50 条

[1] Stability of two-parameter discrete systems with nonnegative coefficients
Gaishun, I. V.
[J]. DIFFERENTIAL EQUATIONS, 2015, 51 (05) : 586 - 591
[2] Interval and Robust Stability of Two-Parameter Discrete Systems with Interval Coefficients
Gaishun, I. V.
Goryachkin, V. V.
[J]. DIFFERENTIAL EQUATIONS, 2015, 51 (10) : 1267 - 1273
[3] Interval and robust stability of two-parameter discrete systems with interval coefficients
I. V. Gaishun
V. V. Goryachkin
[J]. Differential Equations, 2015, 51 : 1267 - 1273
[4] Stability of two-parameter discrete systems with commuting operators
Gaishun, IV
[J]. DIFFERENTIAL EQUATIONS, 1996, 32 (02) : 219 - 227
[5] State estimation for two-parameter discrete systems
Gaishun, IV
[J]. DIFFERENTIAL EQUATIONS, 2001, 37 (12) : 1761 - 1766
[6] Stability Analysis of Systems with Delay-Dependant Coefficients: a two-Parameter Approach
Jin, Chi
Gu, Keqin
Boussaada, Islam
Niculescu, Silviu-Iulian
[J]. 2017 AMERICAN CONTROL CONFERENCE (ACC), 2017, : 5726 - 5731
[7] State Estimation for Two-Parameter Discrete Systems
I. V. Gaishun
[J]. Differential Equations, 2001, 37 : 1761 - 1766
[8] Research on Stability and Bifurcation for Two-Dimensional Two-Parameter Squared Discrete Dynamical Systems
Liu, Limei
Zhong, Xitong
[J]. MATHEMATICS, 2024, 12 (15)
[9] Canonical forms of linear discrete two-parameter systems
Gaishun, IV
[J]. DIFFERENTIAL EQUATIONS, 1999, 35 (07) : 974 - 978
[10] Two-parameter discrete systems over a residue ring and their properties
Gaishun, IV
[J]. AUTOMATION AND REMOTE CONTROL, 2002, 63 (11) : 1717 - 1723

← 1 2 3 4 5 →