Stability analysis and H∞ filtering for delay differential systems of neutral type

IET Control Theory and Applications

Volumn 1, Issue 3, 2007, Pages 749-755

  Zhang, X M ^a   Han, Q L ^b  

^a CENTRAL SOUTH UNIVERSITY   (China)

^b CENTRAL QUEENSLAND UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

FILTRATION; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; MATRIX ALGEBRA;

DELAY DIFFERENTIAL SYSTEMS; LINEAR NEUTRAL SYSTEMS; LUENBERGER OBSERVER; LYAPUNOV-KRASOVSKII FUNCTIONAL;

LINEAR STABILITY ANALYSIS;

EID: 34248380482     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta:20060121     Document Type: Article

References (20)

1. Gu, K., Kharitonov, V.L., and Chen, J.: ' Stability of time-delay systems ', (Birkhauser, Boston, 2003)
2. ∞ filter design for uncertain linear systems with multiple time-varying state delays ', IEEE Trans. Signal Process., 2001, 49, p. 569-576 1053-587X
3. 1 filtering for a class of uncertain nonlinear time-delay systems ', IEEE Trans. Autom. Control, 2003, 48, p. 1661-1666 0018-9286
4. ∞ filtering for uncertain discrete-time state-delayed systems ', IEEE Trans. Signal Process., 2004, 52, p. 1631-1640 1053-587X
5. ∞ filtering for uncertain discrete-time state-delayed systems ', IEEE Trans. Signal Process., 2001, 49, p. 1696-1703 1053-587X
6. Bellen, A., Guglielmi, N., and Ruehli, A.E.: ' Methods for linear systems of circuit delay differential equations of neutral type ', IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., 1999, 46, p. 212-216 1057-7122
7. Han, Q.-L.: ' Stability analysis for a partial element equivalent circuit (PEEC) model of neutral type ', Int. J. Circuit Theory Appl., 2005, 33, p. 321-332 0098-9886
8. Brayton, R.K.: ' Bifurcation of periodic solutions in a nonlinear difference-differential equation of neutral type ', Q. Appl. Math., 1966, 24, p. 215-224 0033-569X
9. ∞ filtering for a class of uncertain nonlinear neutral systems ', Circuits Syst. Signal Process., 2004, 23, p. 215-230 0278-081X
10. Zhang, X.-M., Wu, M., She, J.-H., and He, Y.: ' Delay-dependent stabilization of linear systems with time-varying state and input delays ', Automatica, 2005, 41, p. 1405-1412 0005-1098
11. He, Y., Wu, M., She, J.-H., and Liu, G.P.: ' Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays ', Syst. Control Lett., 2004, 51, p. 57-65 0167-6911
12. Luenberger, D.G.: ' An introduction to observers ', IEEE Trans. Autom. Control, 1971, 16, p. 596-603 0018-9286
13. Gu, K.: ' An integral inequality in the stability problem of time-delay systems ', Proc. IEEE Control and Decision Conf., December, 2000, Australia, p. 2805-2810
14. Gu, K.: ' A further refinement of discretized Lyapunov functional method for the stability of time-delay systems ', Int. J. Control, 2001, 74, p. 967-976 0020-7179
15. ∞ control ', Int. J. Robust Nonlinear Control, 1994, 4, p. 421-448 1049-8923
16. Hale, J.K., and Verduyn Lunel, S.-M.: ' Introduction to functional differential equations ', (Springer-Verlag, New York, 1993)
17. Wu, M., He, Y., and She, J.-H.: ' New delay-dependent stability criteria and stabilizing method for neutral systems ', IEEE Trans. Autom. Control, 2004, 49, p. 2266-2271 0018-9286
18. Han, Q.-L.: ' Robust stability of uncertain delay-differential systems of neutral type ', Automatica, 2002, 38, p. 719-723 0005-1098
19. Han, Q.-L.: ' On stability of linear neutral systems with mixed time-delays: a discretized Lyapunov functional approach ', Automatica, 2005, 41, p. 1209-1218 0005-1098
20. Han, Q.-L., Yu, X., and Gu, K.: ' On computing the maximum time-delay bound for stability of linear neutral systems ', IEEE Trans. Autom. Control, 2004, 49, p. 2281-2286 0018-9286