Stabilization of Polynomial Nonlinear Systems by Algebraic Geometry Techniques

Stabilization of Polynomial Nonlinear Systems by Algebraic Geometry Techniques

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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Veröffentlicht in:IEEE transactions on automatic control 2015-09, Vol.60 (9), p.2482-2487
Hauptverfasser: Menini, Laura, Tornambe, Antonio
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algebraic Geometry
Automatic control
Closed loop systems
Control systems
Dynamical systems
Geometry
Lyapunov methods
Nonlinear dynamics
Polynomial systems
Polynomials
Stabilization
statefeedback stabilization
Vectors
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Beschreibung
Zusammenfassung: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2014.2375751