Application of Sturm Theorem in the Global Controllability of a Class of High Dimensional Polynomial Systems

被引：2

作者：

Xu Xueli ^{[1
]}

Li Qianqian ^{[1
]}

Sun Yimin ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangdong Prov Key Lab Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2015年 / 28卷 / 05期

关键词：

Global controllability; high dimensional systems; number of sign variations; polynomial; Sturm theorem;

D O I：

10.1007/s11424-015-3087-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the global controllability for a class of high dimensional polynomial systems has been investigated and a constructive algebraic criterion algorithm for their global controllability has been obtained. By the criterion algorithm, the global controllability can be determined in finite steps of arithmetic operations. The algorithm is imposed on the coefficients of the polynomials only and the analysis technique is based on Sturm Theorem in real algebraic geometry and its modern progress. Finally, the authors will give some examples to show the application of our results.

引用

页码：1049 / 1057

页数：9

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