LMI stability tests for the Fornasini-Marchesini model

被引：21

作者：

Dumitrescu, Bogdan ^{[1
]}

机构：

[1] Tampere Univ Technol, TICSP, FIN-33101 Tampere, Finland

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2008年 / 56卷 / 08期

关键词：

Fornasini-Marchesini model; linear matrix inequality; robust stability; stability; 2-D systems;

D O I：

10.1109/TSP.2008.921768

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

We present a linear matrix inequality (LMI) for testing the stability of a 2-D system described by the Fornasini-Marchesini first model. The test is based on the properties of sum-of-squares polynomials with matrix coefficients. Although the test implements a sufficient condition, extensive experiments suggest that the gap to necessity is very small. We also derive an LMI describing stability conditions around a given model and useful in robust stability testing.

引用

页码：4091 / 4095

页数：5

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