Title :
Stabilization of Polynomial Nonlinear Systems by Algebraic Geometry Techniques
Author :
Menini, Laura ; Tornambe, Antonio
Author_Institution :
Dipartimenti di Ing. Civile e Ing. Inf., Univ. di Roma Tor Vergata, Rome, Italy
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.
Keywords :
continuous time systems; geometry; nonlinear control systems; polynomials; stability; state feedback; affine nonlinear systems; algebraic geometry techniques; continuous-time system; parameterized sets; polynomial ideals; polynomial nonlinear system stabilization; state-feedback stabilizing control laws; submodules; Closed loop systems; Geometry; Lyapunov methods; Polynomials; Vectors; Algebraic Geometry; Algebraic geometry; Polynomial systems; polynomial systems; state-feedback stabilization; statefeedback stabilization;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2014.2375751
