Title :
On improved delay-dependent robust stability criteria for uncertain systems with multiple-state delays
Author :
Lu, Chien-Yu ; Tsai, Jason Sheng-Horng ; Su, Te-Jen
Author_Institution :
Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan
fDate :
2/1/2002 12:00:00 AM
Abstract :
This brief provides new stability criteria for a class of uncertain linear time-delay systems with time-invariant delays. Based on Lyapunov-Krasovskii functionals combining with LMI techniques, simple and improved delay-dependent robust stability criteria. which are given in terms of quadratic forms of state and LMI, are derived. Our results shown by two examples are less conservative than the existing stability criteria
Keywords :
Lyapunov matrix equations; control system synthesis; delays; matrix algebra; robust control; Lyapunov-Krasovskii functional; asymptotic stability; robust stability; stability; time-delay; uncertainty; Chemical processes; Delay systems; Linear matrix inequalities; Milling machines; Robust stability; Stability analysis; Stability criteria; Transmission line matrix methods; Uncertain systems; Uncertainty;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on