Simplified approach to the asymptotical stability of linear systems with interval time-varying delay

IET Control Theory and Applications

Volumn 3, Issue 2, 2009, Pages 252-260

  Li, T ^a   Guo, L ^b   Wu, L ^a  

^a SOUTHEAST UNIVERSITY   (China)

^b BEIHANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

HELIUM; LINEAR CONTROL SYSTEMS; SYSTEM STABILITY; THREE TERM CONTROL SYSTEMS; TIME VARYING CONTROL SYSTEMS;

ASYMPTOTICAL STABILITIES; COMPUTATIONAL BURDENS; FREE-WEIGHTING MATRICES; INTEGRAL INEQUALITIES; INTERVAL TIME-VARYING DELAYS; LINEAR MATRICES; NUMERICAL EXAMPLES; STABILITY RESULTS;

LINEAR MATRIX INEQUALITIES;

EID: 60749131591     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta:20080009     Document Type: Article

References (26)

1. YUE D., WON S.: 'An improvement on 'delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty', IEEE Trans. Automat. Control, 2002, 47, pp. 407-408
2. WU M., HE Y., SHE J.H., LIU G.P.: 'Delay-dependent criteria for robust stability of time-varying delay systems', Automatica, 2004, 40, pp. 1435-1439
3. HAN Q.L.: 'On robust stability of neutral systems with time-varying discrete delay and norm-bounded uncertainty', Automatica, 2004, 40, pp. 1087-1092
4. XU S., JAMES L., ZOU Y.: 'Simplified descriptor system approach to delay-dependent stability and performance analyses for time-delay systems', IEE Proc. Control Theory Appl., 2005, 152, pp. 147-151
5. PARLAKCI M.N.A.: 'Robust stability of uncertain time-varying state-delayed systems', IEE Proc. Control Theory Appl., 2006, 153, pp. 469-477
6. PARLAKCI M.N.A.: 'Robust stability of uncertain neutral systems: a novel augmented Lyapunov functional approach', IET Control Theory Appl., 2007, 1, pp. 802-809
7. PARK P., KO J.W.: 'Stability and robust stability for systems with a time-varying delay', Automatica, 2007, 43, pp. 1855-1858
8. FRIDMAN E., SHAKED U.: 'An improved stabilization method for linear time-delay systems', IEEE Trans. Automat. Control, 2002, 47, pp. 1931-1937
9. LI X., SPUZA C.E.: 'Delay-dependent robust stability and stabilization of uncertain linear delay systems: a linear matrix inequality', IEEE Trans. Automat. Control, 1997, 40, pp. 1144-1148
10. MOON Y.S., PARK P., KWON W.H., LEE Y.S.: 'Delay-dependent robust stabilization of uncertain state-delayed systems', Int. J. Control, 2001, 74, pp. 1447-1455
11. KIM J.H.: 'Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty', IEEE Trans. Automat. Control, 2001, 46, pp. 789-792
12. PARK P.: 'A delay-dependent stability criterion for systems with uncertain time-invariant delays', IEEE Trans. Automat. Control, 1999, 44, pp. 876-877
13. HE Y., WU M., SHE J.H., LIU G.P.: 'Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays', Systems Control Lett., 2004, 51, pp. 57-65
14. HE Y., WU M., SHE J.H., LIU G.P.: 'Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopictype uncertainties', IEEE Trans. Automat. Control, 2004, 49, pp. 828-832
15. ∞ control for linear systems with interval time-varying delay', Automatica, 2005, 41, pp. 2099-2106
16. KHARITONOV V.L., NICULESCU S.I.: 'On the stability of linear systems with uncertain delay', IEEE Trans. Automat. Control, 2003, 48, pp. 127-132
17. HE Y., WANG Q.G., LIN C., WU M.: 'Delay-range-dependent stability for systems with time-varying delay', Automatica, 2007, 43, pp. 371-376
18. JIANG X.F., HAN Q.L.: 'Delay-dependent robust stability for uncertain linear systems with interval time-varying delay', Automatica, 2006, 42, pp. 1059-1065
19. GAO H.J., CHEN T.W.: 'New results on stability of discrete-time systems with time-varying state delay', IEEE Trans. Automat. Control, 2007, 52, pp. 328-334
20. GAO H.J., CHEN T.W., JAMES L.: 'A new delay system approach to network-based control', Automatica, 2008, 44, pp. 39-52
21. GU K.: 'An integral inequality in the stability problem of time-delay systems'. Proc. IEEE Conf. Decision Control, Sydney, Australia, 2000, pp. 2805-2810
22. HE Y., WANG Q.G., XIE L., LIN C.: 'Further improvement of free-weighting matrices technique for systems with time-varying delay', IEEE Trans. Automat. Control, 2007, 52, pp. 293-299
23. XU S., LAM J.: 'Improved delay-dependent stability criteria for time-delay systems', IEEE Trans. Automat. Control, 2005, 50, pp. 384-387
24. LIN C., WANG Q.G., LEE T.H.: 'A less conservative robust stability test for linear uncertain time-delay systems', IEEE Trans. Automat. Control, 2006, 51, pp. 87-91
25. JING X.J., TAN D.L., WANG Y.C.: 'An LMI approach to stability of systems with severe time-delay', IEEE Trans. Automat. Control, 2004, 49, pp. 1192-1195
26. LEE Y.S., MOON Y.S., KWON W.H., PARK P.G.: 'Delay-dependent robust H∞ control for uncertain systems with a state-delay', Automatica, 2004, 40, pp. 65-72