Novel stability criteria for neutral systems with multiple time delays

Chaos, Solitons and Fractals

Volumn 32, Issue 5, 2007, Pages 1735-1741

  Xiong, Wenjun ^a   Liang, Jinling ^b  

^a CHINA THREE GORGES UNIVERSITY   (China)

^b SOUTHEAST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; DELAY CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; NEURAL NETWORKS; NUMERICAL METHODS; PROBLEM SOLVING;

CHARACTERISTIC EQUATIONS; MULTIPLE TIME DELAYS;

STABILITY CRITERIA;

EID: 33846396806     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.12.020     Document Type: Article

References (26)

1. Kolmanovskii V., and Myshkis A. Applied theory of functional differential equations (1992), Kluwer Academic Publishers, Dordrecht
2. He P., and Cao D. Algebraic stability criteria of linear neutral systems with multiple time delays. Appl Math Comput 155 (2004) 643-653
3. Hale J., and Verduyn Lunel S.M. Introduction to functional differential equations (1993), Springer-Verlag, New York
4. Zhou J., Chen T., and Xiang L. Robust synchronization of delayed neural networks based on adaptive control and parameters identification. Chaos, Solitons & Fractals 27 (2006) 905-913
5. Hu G., Hu G.D., and Cahlon B. Algebraic criteria for stability of linear neutral systems with a single delay. J Comput Appl Math 135 (2001) 125-133
6. Khusainov D.Y., and Yunkova E.A. Investigation of the stability of linear-systems of neutral type by the Lyapunov function method. Differen Equat 24 (1988) 424-431
7. Lancaster P., and Tismenetsky M. The theory of matrices (1985), Academic Press, Florida
8. Gopalsamy K. Stability and oscillations in delay differential equations of population dynamics (1992), Kluwer Academic Publishers, Boston
9. Lien C., Yu K., and Hsieh J.G. Stability conditions for a class of neutral systems with multiple time delays. J Math Anal Appl 245 (2000) 20-27
10. Chen W. Comment on 'simple criteria for stability of neutral systems with multiple delays'. Int J Syst Sci 30 (1999) 1247-1248
11. Park J.H., and Won S. Asymptotic stability of neutral systems with multiple delays. J Optim Theory Appl 103 (1999) 183-200
12. Fridman E. New Lyapunov Krasovskii functionals for stability of linear retarded and neutral type systems. Syst Control Lett 43 (2001) 309-319
13. Lien C. New stability criterion for a class of uncertain nonlinear neutral time-delay systems. Int J Syst Sci 32 (2001) 215-219
14. He G., and Cao J. Further investigate on periodic solutions of pth order delayed NDEs. Appl Math Comput 132 (2002) 231-248
15. Si J. Discussion on the periodic solutions for linear equation of neutral type with constant coefficients. Appl Math Mech 17 (1996) 29-39
16. Cao J. Periodic solutions of a class of higher order neutral type equations. Appl Math Mech 20 (1999) 647-652
17. Cao J., and He G. Discussion of periodic solutions for pth order delayed NDEs. Appl Math Comput 129 (2002) 391-405
18. Zhang Q., Wei X., and Xu J. Stability analysis for cellular neural networks with variable delays. Chaos, Solitons & Fractals 28 (2006) 331-336
19. Cui B., and Lou X. Global asymptotic stability of BAM neural networks with distributed delays and reaction-diffusion terms. Chaos, Solitons & Fractals 27 (2006) 1347-1354
20. Gopalsamy K., and He X. Delay-independent stability in bidirectional associative memory networks. IEEE Trans Neural Networks 5 (1994) 998-1002
21. Tu F., Liao X., and Zhang W. Delay-dependent asymptotic stability of a two-neuron system with different time delays. Chaos, Solitons & Fractals 28 (2006) 437-447
22. Hui G., and Hu G. Simple criteria for stability of neutral systems with multiple delays. Int J Syst Sci 28 (1997) 1325-1328
23. Bellen A., Guglielmi N., and Ruehli A.E. Methods for linear systems of circuit delay differential equations of neutral type. IEEE Trans Circ Syst-I 46 (1999) 212-216
24. Chen J., Lien C., Fan K., and Chou J. Criteria for asymptotic stability of a class of neutral systems via a LMI approach. IEE Proc-Control Theory Appl 148 (2001) 442-447
25. In: Dugard L., and Verriest E.I. (Eds). Stability and control of time delay systems (1998), Springer, London
26. Sinha A.S.C., El-sharkawy M.A., Rizkalla M.E., and Suzuki D.A. A constructive algorithm for stabilization of nonlinear neutral time-delayed systems occurring in bioengineering. Int J Syst Sci 27 (1996) 17-25