Title :
An algorithm for designing feedback stabilizers of nonlinear polynomial systems
Author :
Kotsios, Stelios
Author_Institution :
Univ. of Athens, Athens
Abstract :
The aim of this paper is to present a symbolic computational algorithm that will allow us to deal with the feedback stabilization problem for continuous nonlinear polynomial systems. The overall approach is based on a methodology that checks the positivity of a given polynomial.
Keywords :
control system CAD; feedback; nonlinear control systems; polynomials; stability; symbol manipulation; continuous nonlinear polynomial systems; feedback stabilizer design; symbolic computational algorithm; Algorithm design and analysis; Control systems; Eigenvalues and eigenfunctions; Feedback; Lyapunov method; Mathematics; Nonlinear control systems; Nonlinear systems; Polynomials; Stability; Computational Algebraic Methods; Feedback Stabilization; Nonlinear Systems; Positivity; Sum of Squares;
Conference_Titel :
Control & Automation, 2007. MED '07. Mediterranean Conference on
Conference_Location :
Athens
Print_ISBN :
978-1-4244-1282-2
Electronic_ISBN :
978-1-4244-1282-2
DOI :
10.1109/MED.2007.4433809