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.
Menini, L., Tornambe', A. (2015). Stabilization of polynomial nonlinear systems by algebraic geometry techniques. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 60(9), 2482-2487 [10.1109/TAC.2014.2375751].
Stabilization of polynomial nonlinear systems by algebraic geometry techniques
MENINI, LAURA;TORNAMBE', ANTONIO
2015-01-01
Abstract
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.File in questo prodotto:
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