Application of Sturm Theorem in the Global Controllability of a Class of High Dimensional Polynomial Systems
Application of Sturm Theorem in the Global Controllability of a Class of High Dimensional Polynomial Systems作者机构：Guangdong Province Key Laboratory of Computational Science School of Mathematics and Computational Science Sun Yat-Sen University
出 版 物：《Journal of Systems Engineering and Electronics》 (系统工程与电子技术（英文版）)
年 卷 期：2015年第26卷第5期
页 面：1049-1057页
核心收录：
学科分类：07[理学] 080202[工学-机械电子工程] 08[工学] 070104[理学-应用数学] 0804[工学-仪器科学与技术] 0802[工学-机械工程] 0701[理学-数学]
基 金：supported by the Natural Science Foundation of China under Grant Nos.60804008,61174048and 11071263 the Fundamental Research Funds for the Central Universities and Guangdong Province Key Laboratory of Computational Science at Sun Yat-Sen University
主 题：Global controllability high dimensional systems number of sign variations polynomial,Sturm theorem.
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.
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