Stability analysis of 2-D discrete and continuous state-space systems

被引：10

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, Dept Elect & Comp Engn, Coll Engn & Informat Technol, POB 346, Ajman, U Arab Emirates

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

来源：

IET CONTROL THEORY AND APPLICATIONS | 2022年 / 16卷 / 03期

关键词：

TIME-SYSTEMS; SUFFICIENT CONDITIONS; LYAPUNOV EQUATION; TESTING STABILITY; LMI CONDITIONS; STABILIZATION; MATRIX; POLYNOMIALS;

D O I：

10.1049/cth2.12224

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents new stability conditions for two-dimensional (2-D) systems in state-space description. Both discrete and continuous systems are studied. These results are based on the criteria first presented by Huang, De Carlo, Strintzis, Murray, Delsarte, et al. and on the discrete Lyapunov equation with complex elements for 2-D systems. The stability properties of the Mansour matrix are also used for stability testing in state-space. Criteria for the VSHP property of 2-D polynomials are further presented using the continuous Lyapunov equation with complex elements and the stability properties of the Schwarz matrix form. The stability properties of the Schwarz matrix are also used for testing the VSHP property of 2-D polynomials in state-space. The proposed new criteria are non-conservative for the stability analysis of 2-D discrete and continuous systems and achieve the aim of reducing the original 2-D problem as much as possible to a set of 1-D stability tests. Numerical examples are given to illustrate the utility of the proposed conditions.

引用

页码：273 / 282

页数：10

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