Stabilization of Polynomial Nonlinear Systems by Algebraic Geometry Techniques

Transactions on Automatic Control（2015）

引用 12|浏览41

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摘要

This technical note applies methods from Algebraic Geometry, namely polynomial ideals and sub-modules, to find parameterized sets of state-feedback stabilizing control laws for polynomial, continuous-time, affine nonlinear systems. The proposed method is illustrated by simple examples.

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关键词

Polynomials,Lyapunov methods,Closed loop systems,Vectors,Geometry

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