Title :
A new result on the robust stability of uncertain systems with time-varying delay
Author :
Yan, Jun-Juh ; Tsai, Jason Sheng-Hong ; Kung, Fan-Chu
Author_Institution :
Dept. of Electr. Eng., Far-East Coll., Hsin-Shih Town, Taiwan
fDate :
7/1/2001 12:00:00 AM
Abstract :
A stability criterion for uncertain systems with time-varying delay is derived via the Lyapunov functional approach. By checking the Hamiltonian matrix and solving an algebraic Riccati equation, a new bound on allowable stability preserving nonlinear perturbations is presented. The result obtained here is shown to be less conservative than others reported in the literature
Keywords :
Lyapunov methods; Riccati equations; delay systems; perturbation techniques; robust control; stability criteria; time-varying systems; uncertain systems; Hamiltonian matrix; Lyapunov functional approach; algebraic Riccati equation; allowable stability; nonlinear perturbations; robust stability; stability criterion; time-varying delay; uncertain systems; Delay effects; Delay systems; Eigenvalues and eigenfunctions; Nonlinear equations; Riccati equations; Robust stability; Robustness; Stability criteria; Time varying systems; Uncertain systems;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
