Delay-dependent robust stability of time delay systems

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 5, Issue PART 1, 2006, Pages 453-458

  Gouaisbaut, Frédéric ^a   Peaucelle, Dimitri ^a  

^a LAAS CNRS   (France)

Author keywords

Linear time delay systems; Robustness; Stability

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DELAY CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; NONLINEAR CONTROL SYSTEMS; ROBUST CONTROL; ROBUSTNESS (CONTROL SYSTEMS); TIME DELAY; TIMING CIRCUITS;

CONSERVATISM REDUCTIONS; CONVERGENCE PROPERTIES; DELAY-DEPENDENT ROBUST STABILITY; DISCRETIZATION SCHEME; LINEAR TIME-DELAY SYSTEM; LYAPUNOV-KRASOVSKII FUNCTIONALS; ORIGINAL SYSTEMS;

SYSTEM STABILITY;

EID: 80051593907     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20060705-3-fr-2907.00078     Document Type: Conference Paper

References (22)

1. Bliman, P.A. (2002). Lyapunov equation for the stability of linear delay systems of retarded and neutral type. IEEE Trans. Aut. Control 47(2), 327-335.
2. Castelan, E.B., i. Queinnec and S. Tarbouriech (2003). Delay-independent robust stability conditions of neutral linear time-delay systems. In: Proc. 4th IFAC Workshop on Time Delay Systems (TDS'03). Rocquencourt, France.
3. De Oliveira, M.C. and R.E. Skelton (2001). Stability tests for constrained linear systems. pp. 241- 257. Lecture notes in control and information sciences. Springer. Berlin.
4. Ebihara, Y., D. Peaucelle, D. Arzelier and T. Hagiwara (2005). Robust performance analysis of linear time-invariant uncertain systems by taking higher-order time-derivatives of the states. In: joint IEEE Conference on Decision and Control and European Control Conference. Seville, Spain.
5. Fridman, E. (2002). Stability of linear descriptor systems with delay: A Lyapunov-based approach. Journal of Mathematical Analysis and Applications 273(1), 24-44.
6. Fridman, E. and U. Shaked (2002a). A descriptor system approach to H1 control of linear time-delay systems. IEEE Trans. Aut. Control 47(2), 253-270. (Pubitemid 34291539)
7. Fridman, E. and U. Shaked (2002b). An improved stabilization method for linear time-delay systems. IEEE Trans. Aut. Control 47(11), 1931-1937. (Pubitemid 35426901)
8. Gouaisbaut, F. and D. Peaucelle (2006). A note on the stability of time-delay systems. In: ROCOND. Toulouse.
9. Gu, K., K.L. Kharitonov and J. Chen (2003). Stability of Time-Delay Systems. Control Engineering Series. Birkhauser. Boston USA.
10. Han, Q.L. (2002). Robust stability of uncertain delaydifferential systems of neutral type. Automatica 38, 719-723.
11. Kolmanovskii, V.B. and J.P. Richard (1999). Stability of some linear systems with delay. IEEE Trans. Aut. Control 44(5), 984-989.
12. Lee, Y.S., Y.S. Moon and Park P. (2004). Delaydependent robust H1 control for uncertain systems with a state-delay. Automatica 40, 65-72.
13. Moon, Y. S., P. Park, W. H. Kwon and Y. S. Lee (2001). Delay-dependent robust stabilization of uncertain state-delayed systems. Int. J. Control 74, 1447-1455.
14. Niculescu, S., A. Trofino, J.M. Dion and L. Dugard (1995). Delay dependent stability of linear systems with delayed state: an LMI approach. In: IEEE Conf. on Decision an Control. New Orleans. pp. 1495-1496.
15. Park, P. (1999). A delay-dependent stability criterion for systems with uncertain time-invariant delays. IEEE Trans. Aut. Control 44(4), 876-877.
16. Peaucelle, D. and F. Gouaisbaut (2005). Discussion on "parameter-dependent Lyapunov functions approach to stability analysis and design for uncertain systems with time-varying delay". European J. of Control 11(1), 69-70.
17. Peaucelle, D., D. Arzelier, O. Bachelier and J. Bernussou (2000). A new robust D-stability condition for real convex polytopic uncertainty. Systems & Control Letters 40(1), 21-30.
18. Peaucelle, D., D. Henrion and D. Arzelier (2005). Quadratic separation for feedback connection of an uncertain matrix and an implicit linear transformation. In: 16th IFAC World Congress. Prague, Czech Republic.
19. Peres, P.L.D., S. Tarbouriech, G. Garcia and V.J.S. Leite (2003). Robust stability of time-delay continuous-time systems in polytopic domains. In: European Control Conference (ECC'03). Cambridge (GB).
20. Skelton, R.E., T. Iwazaki and K. Grigoriadis (1998). A unified Approach to Linear Control Design. Taylor and Francis series in Systems and Control.
21. Suplin, V., E. Fridman and U. Shaked (2004). A projection approach to H1 control of time-delay systems. In: Proc. 43th IEEE CDC'04. Atlantis, Bahamas.
22. Xu, S. and J. Lam (2005). Improved delay-dependent stability criteria for time-delay systems. IEEE Trans. Aut. Control 50(3), 384-387. (Pubitemid 40448589)