Title :
Absolute stability of Lur´e systems with time-varying delay
Author :
Han, Q.-L. ; Yue, D.
Author_Institution :
Sch. of Comput. Sci., Central Queensland Univ., Rockhampton, Qld.
fDate :
5/1/2007 12:00:00 AM
Abstract :
The problem of the absolute the stability of Lur´e systems with time-varying delay is addressed. Full consideration is given to two cases of time-varying delays - one being continuous-uniformly bounded and the other being differentiable-uniformly bounded with the derivative of the delay bounded by a constant. Some delay-dependent absolute-stability criteria are derived and formulated in the form of linear matrix inequalities. The relationship between the absolute stability criteria for the two cases of time-varying delays is built. A numerical example shows the effectiveness of the obtained results
Keywords :
absolute stability; delays; linear matrix inequalities; nonlinear control systems; time-varying systems; Lur´e systems; continuous-uniformly bounded time-varying delay; delay-dependent absolute-stability criteria; differentiable-uniformly bounded time-varying delay; linear matrix inequalities;
Journal_Title :
Control Theory & Applications, IET
