Title :
On robustness and stabilization of linear systems with delayed nonlinear perturbations
Author :
Trinh, H. ; Aldeen, M.
Author_Institution :
Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia
fDate :
7/1/1997 12:00:00 AM
Abstract :
In this paper, by employing a Razumikhin-type theorem, a robust stability criterion for a class of linear systems subject to delayed time-varying nonlinear perturbations is given. Then, stabilization of a class of linear systems subject to mismatched delayed time-varying nonlinear perturbations by linear controller is considered. For such systems, conditions which ensure closed-loop asymptotic stability are given. Numerical examples are given to illustrate the results
Keywords :
asymptotic stability; closed loop systems; delay systems; linear systems; robust control; time-varying systems; Razumikhin-type theorem; closed-loop asymptotic stability; linear controller; linear systems; mismatched delayed time-varying nonlinear perturbations; robust stability criterion; robustness; stabilization; Asymptotic stability; Control systems; Delay lines; Delay systems; Linear systems; Nonlinear control systems; Robust stability; Robustness; Symmetric matrices; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
