A delay-dividing approach to stability of neutral system with mixed delays and nonlinear perturbations

Applied Mathematical Modelling

Volumn 34, Issue 11, 2010, Pages 3701-3707

  Qiu, Fang ^a,b   Cui, Baotong ^b   Ji, Yan ^b  

^a BINZHOU UNIVERSITY   (China)

^b JIANGNAN UNIVERSITY   (China)

Author keywords

Mixed delays; Neutral system; Nonlinear perturbation; Robust stability

Indexed keywords

DELAY DEPENDENT STABILITY CRITERION; DELAY-DEPENDENT ROBUST STABILITY; EXISTING METHOD; LYAPUNOV FUNCTIONALS; MIXED DELAYS; NEUTRAL SYSTEMS; NONLINEAR PERTURBATIONS; NUMERICAL EXAMPLE; ROBUST STABILITY;

FUZZY CONTROL; LINEAR MATRIX INEQUALITIES; NUMERICAL METHODS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

STABILITY CRITERIA;

EID: 77952951259     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2010.03.013     Document Type: Article

References (22)

1. Kuang Y. Delay Differential Equations with Applications in Population Dynamics 1993, Academic Press, Boston.
2. Brayton R.K. Bifurcation of periodic solutions in a nonlinear difference-differential equation of neutral type. Q. Appl. Math. 1966, 24:215-224.
3. Niculescu S.I. Delay Effects on Stability: A Robust Control Approach 2001, Springer, Berlin.
4. K. Gu, An integral inequality in the stability problem of time-delay systems, in: Proceedings of 39th IEEE CDC Sydney, Australia, 2000, pp. 2805-2810.
5. He Y., Wang Q.G., Xie L.H., Lin C. Further improvement of free-weighting matrices technique for systems with time-varying delay. IEEE Trans. Autom. Control 2007, 52(2):293-299.
6. He Y., Wu M., She J.H., Liu G.P. Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopictype uncertainties. IEEE Trans. Autom. Control 2004, 49(5):828-832.
7. He Y., Wang Q.G., Lin C., Wu M. Augmented Lyapunov functional and delay-dependent stability criteria for neutral systems. Int. J. Robust Nonlinear Control 2005, 15(18):923-933.
8. Wu M., He Y., She J.H. New delay-dependent stability criteria and stabilizing method for neutral systems. IEEE Trans. Autom. Control 2004, 49(12):2266-2271.
9. ∞ control: constant and time-varying delays. Int. J. Control 2003, 76:48-60.
10. ∞ filtering of linear neutral systems. IEEE Trans. Signal Process. 2004, 52(3):668-673.
11. Park J.H. Novel robust stability criterion for a class of neutral systems with mixed delays and nonlinear perturbations. Appl. Math. Comput. 2005, 161:413-421.
12. Zhang W.A., Yu L. Delay-dependent robust stability of neutral systems with mixed delays and nonlinear perturbations. Acta Autom. Sin. 2007, 33(8):863-866.
13. Han Q.L., Yu L. Robust stability of linear neutral systems with nonlinear parameter perturbations. IEE Proc. Control Theory Appl. 2004, 151(5):539-546.
14. Han Q.L. On robust stability for a class of linear systems with time varying delay and nonlinear perturbations. Comput. Math. Appl. 2004, 47:1201-1209.
15. Cao Y.Y., Lam J. Computation of robust stability bounds for time-delay systems with nonlinear time-varying perturbations. Int. J. Syst. Sci. 2000, 31:359-365.
16. Goubet-Batholomeus A., Dambrine M., Richard J.P. Stability of perturbed systems with time-varying delays. Syst. Control Lett. 1997, 31:155-163.
17. Zou Z., Wang Y. New stability criterion for a class of linear systems with time-varying delay and nonlinear perturbations. IEE Proc. Control Theory Appl. 2006, 153(5):623-626.
18. Yang B., Wang J.C., Pan X.J., Zhong C.Q. Delay-dependent criteria for robust stability of linear neutral systems with time-varying delay and nonlinear perturbations. Int. J. Syst. Sci. 2007, 38(6):511-518.
19. ∞ filtering for delay differential systems of neutral type. IET Control Theory Appl. 2007, 1(3):749-755.
20. Parlakci M.N.A. Robust stability of uncertain neutral systems: a novel augmented Lyapunov functional approach. IET Control Theory Appl. 2007, 1(3):802-809.
21. Shao H.Y. Improved delay-dependent globally asymptotic stability criteria for neural networks with a constant delay. IEEE Trans. Circuit Syst. II 2008, 55(10):1071-1075.
22. Hale J.K., Verduyn Lunel S.M. Introduction to Functional Differential Equations (Applied Mathematical Sciences) 1993, Springer-Verlag, NewYork.