FINITE-TIME STABILIZATION OF POLYNOMIAL SYSTEMS

[ 31 Jan 2020 | vol. 13 | no.1 | pp. 35-46]

About Authors:

Walid Ben Mabrouk1, Chakib Ben Njima1, Hassani Messaoud1 and Germain Garcia2
-1Ecole Nationale d’Ingénieurs de Monastir, Rue Ibn El Jazzar,Monastir 5019, Tunisia
-2CNRS; LAAS; 7 avenue du colonel Roche, F-31077 Toulouse, France
-2Université Toulouse, UPS; INSA; INP; ISAE; LAAS; 7 avenue du colonel Roche,

Abstract:

In this paper finite-time stabilization of nonlinear polynomial systems, is considered. First we provide a formula for a finite time stabilizing state feedback control law, for a second order polynomial system. Then we extend the result to the case of polynomial systems with multiple inputs. Some extensions concerning asymptotic stabilization are also given.

Keywords:

polynomial systems, finite time stability, non affine systems

 

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