Application of Sturm theorem in the global controllability of a class of high dimensional polynomial systems

DOI10.1007/s11424-015-3087-3zbMath1327.93089OpenAlexW2346060805MaRDI QIDQ905141

Xueli Xu, Qianqian Li, Yi-min Sun

Publication date: 14 January 2016

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-015-3087-3

zbMATH Keywords

high dimensional systemspolynomialSturm theoremglobal controllabilitynumber of sign variations

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by ordinary differential equations (93C15) Large-scale systems (93A15)

Cites Work

• Nonlinear control systems: An introduction
• Necessary and sufficient condition for global controllability of a class of affine nonlinear systems
• Nonlinear Controllability via Lie Theory
• System Theory on Group Manifolds and Coset Spaces
• Algorithms in real algebraic geometry
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