Delay-dependent stability criteria for systems with asymmetric bounds on delay derivative

Journal of the Franklin Institute

Volumn 348, Issue 9, 2011, Pages 2674-2688

  Ko, Jeong Wan ^a   Park, Poo Gyeon ^a  

^a Pohang University of Science and Technology (POSTECH)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ALLOWABLE DELAY; ANALYSIS METHOD; DELAY BOUND; DELAY DEPENDENT STABILITY CRITERION; DELAYED SYSTEMS; INTEGRAL INEQUALITIES; LYAPUNOV-KRASOVSKII; PIECE-WISE; TIME-VARYING DELAYED;

SYSTEM STABILITY;

STABILITY CRITERIA;

EID: 80053610848     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2011.08.001     Document Type: Article

References (27)

1. S. Boyd, L.E. Ghaoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia, 1994.
2. C.-Y. Chen, and C.-H. Lee Delay-independent stabilization of linear systems with time-varying delayed state and uncertainties Journal of the Franklin Institute 346 4 2009 378 390
3. K. Gu Discretized LMI set in the stability problem of linear uncertain time-delay systems International Journal of Control 68 4 1997 923 934
4. K. Gu, V.L. Kharitonov, J. Chen, Stability of Time-Delay Systems, Birkhäuser, 2003.
5. Y. He, G.-P. Liu, and D. Rees Augmented functional for the L yapunov calculation of stability interval for time-varying delay IET Conrol Theory & Applications 1 1 2007 381 386 (Pubitemid 46104245)
6. Y. He, Q.-G. Wang, C. Lin, and M. Wu Delay-range-dependent stability for systems with time-varying delay Automatica 43 2 2007 371 376 (Pubitemid 46037586)
7. Y. He, Q.-G. Wang, L. Xie, and C. Lin Further improvement of free-weighting matrices technique for systems with time-varying delay IEEE Transactions on Automatic Control 52 2 2007 293 299 (Pubitemid 46444284)
8. Y. He, M. Wu, J.-H. She, and G.-P. Liu Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays Systems & Control Letters 51 1 2004 57 65
9. Y. He, M. Wu, J.-H. She, and G.-P. Liu Parameter-dependent L yapunov functional for stability of time-delay systems with polytopic-type uncertainties IEEE Transactions on Automatic Control 49 5 2004 828 832
10. X. Jiang, and Q.-L. Han Delay-dependent robust stability for uncertain linear systems with interval time-varying delay Automatica 42 6 2006 1059 1065
11. J.W. Ko, and P. Park Delay-dependent robust stabilization for systems with time-varying delays International Journal of Control, Automation, and Systems 7 5 2009 711 722
12. T. Li, L. Guo, L. Wu, and C. Sun Delay-dependent robust stability criteria for delay neural networks with linear fractional uncertainties International Journal of Control, Automation, and Systems 7 2 2009 281 288
13. C. Lin, Q.-G. Wang, and T.H. Lee A less conservative robust stability test for linear uncertain time-delay systems IEEE Transactions on Automatic Control 51 1 2006 87 91 (Pubitemid 43137933)
14. H ∞ control of singular time-delay systems via discretized Lyapunov functional Journal of the Franklin Institute 348 4 2011 749 762
15. P.-L. Liu Robust exponential stability for uncertain time-varying delay systems with delay dependence Journal of the Franklin Institute 346 10 2009 958 968
16. P.-L. Liu Stabilization criteria for neutral time delay systems with saturating actuators Journal of the Franklin Institute 347 8 2010 1577 1588
17. Y.S. Moon, P. Park, W.H. Kwon, and Y.S. Lee Delay-dependent robust stabilization of uncertain state-delayed systems International Journal of Control 74 14 2001 1447 1455
18. G.-S. Park, H.-L. Choi, and J.-T. Lim On stability of linear time-delay systems with multiple delays International Journal of Systems Science 39 8 2008 839 852
19. P. Park A delay-dependent stability criterion for systems with uncertain time-invariant delays IEEE Transactions on Automatic Control 44 4 1999 876 877
20. P. Park, and J.W. Ko Stability and robust stability for systems with a time-varying delay Automatica 43 10 2007 1855 1858 (Pubitemid 47381431)
21. M.N.A. Parlakçi Robust stability of uncertain time-varying state-delayed systems IEE Proceedings: Control Theory and Applications 153 4 2006 469 477 (Pubitemid 43781901)
22. C. Peng, and Y.-C. Tian Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay Journal of Computational and Applied Mathematics 214 2 2008 480 494 (Pubitemid 351241082)
23. H ∞ control of linear uncertain time-delay systems - a projection approach IEEE Transactions on Automatic Control 51 4 2006 680 685
24. H ∞ control for systems with interval time-varying delay Journal of the Franklin Institute 348 4 2011 555 567
25. M. Wu, Y. He, J.-H. She, and G.-P. Liu Delay-dependent criteria for robust stability of time-varying delay systems Automatica 40 8 2004 1435 1439
26. H. Yan, X. Huang, M. Wang, and H. Zhang New delay-dependent stability criteria of uncertain linear systems with multiple time-varying state delays Chaos, Solitons and Fractals 37 1 2008 157 165 (Pubitemid 351258312)
27. D. Yue, and Q.-L. Han Delayed feedback control of uncertain systems with time-varying input delay Automatica 41 2 2005 233 240 (Pubitemid 41536573)