Title : 
Finite-time stabilization of non affine systems a constructive method for polynomial systems
         
        
            Author : 
Ben Mabrouk, Walid ; Ben Njima, Chakib ; Messaoud, Hassani ; Garcia, Germain
         
        
            Author_Institution : 
Ecole Nat. d´´Ing. de Monastir, Monastir, Tunisia
         
        
        
        
        
        
            Abstract : 
In this paper finite-time stabilization of nonlinear non affine 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 given.
         
        
            Keywords : 
Lyapunov methods; asymptotic stability; nonlinear control systems; polynomials; asymptotic stabilization; finite-time stabilization; nonaffine systems; nonlinear systems; second order polynomial system; state feedback control; Communication system control; Control systems; Nonlinear control systems; Oscillators; Polynomials; Process control; Signal processing; Stability; State feedback; Sufficient conditions;
         
        
        
        
            Conference_Titel : 
Communications, Control and Signal Processing (ISCCSP), 2010 4th International Symposium on
         
        
            Conference_Location : 
Limassol
         
        
            Print_ISBN : 
978-1-4244-6285-8
         
        
        
            DOI : 
10.1109/ISCCSP.2010.5463389