Title :
Finite-Time Stabilization of Linear Time-Varying Continuous Systems
Author :
Garcia, Germain ; Tarbouriech, Sophie ; Bernussou, Jacques
Author_Institution :
LAAS-CNRS, Univ. of Toulouse Toulouse, Toulouse
Abstract :
In this technical note, the problem of finite time stabilization of linear time-varying continuous systems is considered. Necessary and sufficient conditions, based upon the solution to some Lyapunov differential matrix equations, are proposed for particular cases of interest. From these conditions, the design of time-varying state feedback controller guaranteeing the finite time closed-loop stability is presented. Numerical experiments illustrate the potentialities of the approach.
Keywords :
Lyapunov matrix equations; closed loop systems; continuous time systems; differential equations; linear systems; stability; state feedback; time-varying systems; Lyapunov differential matrix equations; finite time closed-loop stability; finite-time stabilization; linear time-varying continuous systems; time-varying state feedback controller; Continuous time systems; Control design; Control systems; Differential equations; Linear matrix inequalities; Lyapunov method; Stability; State feedback; Sufficient conditions; Time varying systems; Finite-time stability and stabilization; Lyapunov differential equations; Lyapunov stability; linear time-varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2008.2008325
