Title :
(A, B)-stabilizability conditions with respect to certain Lyapunov functions
Author :
Tarbouriech, S. ; Burgat, C.
Author_Institution :
Lab. d´´Autom. et d´´Anal. des Syst., CNRS, Toulouse, France
Abstract :
This paper shows under certain conditions a static state feedback ensures the controlled system xk+1=(A+BF)xk(resp.x˙(t)=(A+BF)x(t)) to have certain common Lyapunov functions with the autonomous system xk+1 =Axk(resp.x˙(t)=Ax(t)). This notion is called (A, B)-stabilizability with respect to certain Lyapunov functions. The relations between this notion and the classical (A, B)-stabilizability are studied. The results obtained are then used to study the global stabilization of linear systems with bounded inputs by means of a saturated control law
Keywords :
Lyapunov methods; closed loop systems; linear systems; stability; state feedback; Lyapunov functions; autonomous system; global stabilization; linear systems; saturated control; stabilizability conditions; static state feedback; Control systems; Eigenvalues and eigenfunctions; Linear systems; Lyapunov method; State feedback; Tin;
Conference_Titel :
Systems, Man and Cybernetics, 1993. 'Systems Engineering in the Service of Humans', Conference Proceedings., International Conference on
Conference_Location :
Le Touquet
Print_ISBN :
0-7803-0911-1
DOI :
10.1109/ICSMC.1993.384763
