Stability analysis of N-D discrete state-space systems

被引：0

作者：

Kanellakis, Apostolos ^{[1
]}

Tawfik, Ayman ^{[2
]}

Agathoklis, Panajotis ^{[3
]}

机构：

[1] Natl Tech Univ Athens, Sch Elect & Comp Engn, Athens, Greece

[2] Ajman Univ, Coll Engn & Informat Technol, Dept Elect & Comp Engn, Ajman, U Arab Emirates

[3] Univ Victoria, Dept Elect & Comp Engn, Victoria, BC, Canada

来源：

SYSTEMS SCIENCE & CONTROL ENGINEERING | 2024年 / 12卷 / 01期

关键词：

Stability; N-D discrete systems; state-space; TIME-SYSTEMS; EXPONENTIAL STABILITY; SUFFICIENT CONDITIONS; LYAPUNOV EQUATION; MULTIDIMENSIONAL SYSTEMS; FORNASINI-MARCHESINI; PERFORMANCE ANALYSIS; BIBO STABILITY; LMI CONDITIONS; H-INFINITY;

D O I：

10.1080/21642583.2024.2413554

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Several stability criteria for N-dimensional linear shift-invariant discrete systems described in the state-space model are presented. The criteria are the N-D state-space versions of the De Carlo et al., Anderson-Jury and Lyapunov equations with complex elements stability criteria. The criteria provide sufficient and necessary conditions for the stability analysis of N-dimensional (N-D) discrete systems. This study was carried out using the generalized Roesser state-space model for N-D discrete systems. Some stability results in this paper are derived by combining this state-space model with Lyapunov theory. Several simple sufficient conditions for easy stability checking are also presented. An example is presented to illustrate the utility of the proposed analysis.

引用

页数：9

共 50 条

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