Abstract
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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This work was supported by the Natural Science Foundation of China under Grant Nos. 60804008, 61174048 and 11071263, the Fundamental Research Funds for the Central Universities and Guangdong Province Key Laboratory of Computational Science at Sun Yat-Sen University.
This paper was recommended for publication by Editor HONG Yiguang.
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Xu, X., Li, Q. & Sun, Y. Application of Sturm Theorem in the global controllability of a class of high dimensional polynomial systems. J Syst Sci Complex 28, 1049–1057 (2015). https://doi.org/10.1007/s11424-015-3087-3
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DOI: https://doi.org/10.1007/s11424-015-3087-3