New exponential estimates for time-delay systems

IEEE Transactions on Automatic Control

Volumn 51, Issue 9, 2006, Pages 1501-1505

  Xu, Shengyuan ^a   Lam, James ^b   Zhong, Maiying ^c  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

^c SHANDONG UNIVERSITY   (China)

Author keywords

Exponential stability; Linear matrix inequality (LMI); Time delay systems; Uncertain systems

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; PARAMETER ESTIMATION; ROBUSTNESS (CONTROL SYSTEMS); UNCERTAIN SYSTEMS;

EXPONENTIAL STABILITY; LINEAR MATRIX INEQUALITIES; TIME-DELAY SYSTEMS;

DELAY CONTROL SYSTEMS;

EID: 33749020858     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2006.880783     Document Type: Article

References (16)

1. J. Chen, "On computing the maximal delay intervals for stability of linear delay systems," IEEE Trans. Autom. Control, vol. 40, no. 6, pp. 1087-1093, Jun. 1995.
2. E. Fridman and U. Shaked, "An improved stabilization method for linear time-delay systems," IEEE Trans. Autom. Control, vol. 47, no. 11, pp. 1931-1937, Nov. 2002.
3. ∞ filtering for a class of uncertain nonlinear time-delay systems," IEEE Trans. Autom. Control, vol. 48, no. 9, pp. 1661-1666, Sep. 2003.
4. ∞ filtering for uncertain discrete-time state-delayed systems," IEEE Trans. Signal Process., vol. 52, no. 6, pp. 1631-1640, Jun. 2004.
5. A. Hmamed, "Comments on 'On an estimate of the decay rate for stable linear delay systems'," Int. J. Control, vol. 42, pp. 539-540, 1996.
6. ∞-output feedback controller design for linear systems with time-varying delayed state," IEEE Trans. Autom. Control, vol. 43, no. 7, pp. 971-974, Jul. 1998.
7. V. B. Kolmanovskii and A. D. Myshkis, Introduction to the Theory and Applications of Functional Differential Equations. Dordrecht, The Netherlands: Kluwer, 1999.
8. P.-L. Liu, "Exponential stability for linear time-delay systems with delay dependence," J. Franklin Inst., vol. 340, pp. 481-488, 2003.
9. S. Mondié and V. L. Kharitonov, "Exponential estimates for retarded time-delay systems: An LMI approach," IEEE Trans. Autom. Control, vol. 50, no. 2, pp. 268-273, Feb. 2005.
10. T. Mori, N. Fukuma, and M. Kuwahara, "On an estimate of the decay rate for stable linear delay systems," Int. J. Control, vol. 36, pp. 95-97, 1982.
11. S.-I. Niculescu, Delay Effects on Stability: A Robust Control Approach. Berlin, Germany: Springer-Verlag, 2001.
12. S.-I. Niculescu, C. E. de Souza, L. Dugard, and J.-M. Dion, "Robust exponential stability of uncertain systems with time-varying delays," IEEE Trans. Autom. Control, vol. 43, no. 5, pp. 743-748, May 1998.
13. S. S. Wang, B. S. Chen, and T. P. Lin, "Robust stability of uncertain time-delay systems," Int. J. Control, vol. 46, pp. 963-976, 1987.
14. M. Wu, Y. He, and J.-H. She, "New delay-dependent stability criteria and stabilizing method for neutral systems," IEEE Trans. Autom. Control, vol. 49, no. 12, pp. 2266-2271, Dec. 2004.
15. S. Xu and J. Lam, "Improved delay-dependent stability criteria for time-delay systems," IEEE Trans. Autom. Control, vol. 50, no. 3, pp. 384-387, Mar. 2005.
16. S. Xu, J. Lam, and C. Yang, "Quadratic stability and stabilization of uncertain linear discrete-time systems with state delay," Syst. Control Lett., vol. 43, pp. 77-84, 2001.