Sum-of-squares polynomials and the stability of discrete-time systems

被引：2
|
作者：
Dumitrescu, B [1 ]
机构：
[1] Tampere Univ Technol, Tampere Int Ctr Signal Proc, FIN-33101 Tampere, Finland
来源：
Fourth International Workshop on Multidimensional Systems - NDS 2005 | 2005年
关键词：
D O I：
10.1109/NDS.2005.195358
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The purpose of this paper is to gather several recent applications of sum-of-squares polynomials in analyzing the stability of discrete-time systems, as well as to present a new one. We review a stability test for multidimensional systems. Also, a method to describe a convex stability domain is presented in the general case. The new application regards a robust stability test for polynomials whose coefficients depend polynomially on some bounded parameters. The test uses a Positivstellensatz relaxation in the form of a semidefinite programming problem. We give some examples and point out possible applications.
引用
收藏
页码：223 / 228
页数：6
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