Simplified descriptor system approach to delay-dependent stability and performance analyses for time-delay systems

IEE Proceedings: Control Theory and Applications

Volumn 152, Issue 2, 2005, Pages 147-151

  Xu, S ^a   Lam, J ^b   Zou, Y ^a  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; FUNCTIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; THEOREM PROVING; VECTORS;

DELAY DEPENDENT STABILITY ANALYSIS; LINEAR MATRIX INEQUALITIES (LMI); PERFORMANCE ANALYSIS; TIME DELAY SYSTEMS;

SYSTEM STABILITY;

EID: 17444399001     PISSN: 13502379     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1049/ip-cta:20045023     Document Type: Article

References (15)

1. Cao, Y.-Y., and Sun, Y.-X.: 'Robust stabilization of uncertain systems with time-varying multistate delay', IEEE Trans. Autom. Control, 1998, 43, pp. 1484-1488
2. Hale, J.K.: 'Theory of functional differential equations' (Springer-Verlag, New York, 1977)
3. Han, Q.-L.: 'Robust stability of uncertain delay-differential systems of neutral type', Automatica, 2002, 38, pp. 719-723
4. Kolmanovskii, V.B., and Myshkis, A.D.: 'Introduction to the Theory and applications of functional differential equations' (Kluwer Academic Publishers, Dordrecht, 1999)
5. ∞ observer design of linear state delayed systems with parametric uncertainty: the discrete-time case', Automatica, 1999, 35, pp. 1161-1167
6. Wang, Z., and Unbehauen, H.: 'Nonlinear observers for a class of continuous-time uncertain state delayed systems', Int. J. Syst. Sci., 2000, 31, pp. 555-562
7. Yue, D., and Won, S.: 'Delay-dependent robust stability of stochastic systems with time delay and nonlinear uncertainties', Electron. Lett., 2001, 37, pp. 992-993
8. Li, X., and de Souza, C.E.: 'Criteria for robust stability and stabilization of uncertain linear systems with state-delay', Automatica, 1997, 33, pp. 1657-1662
9. ∞ and positive real control for linear neutral delay systems', IEEE Trans. Autom. Control, 2001, 46, pp. 1321-1326
10. ∞ control of linear time-delay systems', IEEE Trans. Autom. Control, 2002, 47, pp. 253-270
11. Moon, Y.S., Park, P., Kwon, W.H., and Lee, Y.S.: 'Delay-dependent robust stabilization of uncertain state-delayed systems', Int. J. Control, 2001, 74, pp. 1447-1455
12. Fridman, E., and Shaked, U.: 'An improved stabilization method for linear time-delay systems', IEEE Trans. Autom. Control, 2002, 47, pp. 1931-1937
13. ∞ control of linear time-delay systems"', IEEE Trans. Autom. Control, 2003, 48, pp. 520-525
14. ∞ filtering for a class of uncertain nonlinear time-delay systems', IEEE Trans. Autom. Control, 2003, 48, pp. 1661-1666
15. Lee, Y.S., and Kwon, W.H.: 'Delay-dependent robust stabilization of uncertain discrete-time state-delayed systems'. Preprints of the 15th IFAC World Congress, Barcelona, Spain, 2002