Delay-dependent conditions for robust stability and bounded real lemma of systems with multiple time-varying delays

Kongzhi Lilun Yu Yingyong/Control Theory and Applications

Volumn 21, Issue 5, 2004, Pages 735-741

  He, Yong ^a   Wu, Min ^a  

^a CENTRAL SOUTH UNIVERSITY   (China)

Author keywords

Bounded real lemma; Delay dependent conditions; Linear matrix inequality; Multiple time varying delays; Robust stability

Indexed keywords

BOUNDED REAL LEMMA; DELAY-DEPENDENT CONDITIONS; LINEAR MATRIX INEQUALITY; MULTIPLE TIME-VARYING DELAYS; ROBUST STABILITY;

LINEAR SYSTEMS; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); TIME VARYING SYSTEMS;

DELAY CONTROL SYSTEMS;

EID: 11144231811     PISSN: 10008152     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. SU T J, HUANG C G. Robust stability of delay dependence for linear uncertain systems [J]. IEEE Trans on Automatic Control, 1992, 37(10): 1656-1659.
2. LI X, de SOUZA C E. Delay-dependent robust stability and stabilization of uncertain linear delay systems: A Linear Matrix Inequality approach [J]. IEEE Trans on Automatic Control, 1997, 42(8): 1144-1148.
3. CAO Y Y, SUN Y X, CHENG C W. Delay-dependent robust stabilization of uncertain systems with multiple state delays [J]. IEEE Trans on Automatic Control, 1998, 43(11): 1608-1612.
4. de SOUZA C E, LI X. Delay-dependent robust control of uncertain linear state-delayed systems [J]. Automatica, 1999, 35(7): 1313-1321.
5. KIM J H. Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty [J]. IEEE Trans on Automatic Control, 2001, 46(5): 789-792.
6. YUE D, WON S. An improvement on Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty' [J]. IEEE Trans on Automatic Control, 2002, 47(2): 407-408.
7. PARK P. A delay-dependent stability criterion for systems with uncertain time-invariant delays [J]. IEEE Trans on Automatic Control, 1999, 44(4): 876-877.
8. MOON Y S, PARK P, KWON W H, et al. Delay-dependent robust stabilization of uncertain state-delayed systems [J]. Int J Control, 2001, 74(14): 1447-1455.
9. SHAKED U, YAESH I, de SOUZA C E. Bounded real criteria for linear time-delay systems [J]. IEEE Trans on Automatic Control, 1998, 43(7): 1016-1022.
10. ∞ filter design for linear time delay systems [J]. IEEE Trans on Signal Processing, 2001, 49(11): 2839-2843.
11. FRIDMAN E, SHAKED U. New bounded real lemma representations for time-delay systems and their applications [J]. IEEE Trans on Automatic Control, 2001, 46(12): 1973-1979.
12. BOYD S, GHAOUI L El, FERON E, et al. Linear matrix inequality in system and control theory [C] Studies in Applied Mathematics [M]. Philadelphia: SIAM, 1994, 15.
13. XIE L. Output feedback Hoc control of systems with parameter uncertainty [J]. Int J Control 1996, 63(4): 741-750.