Delay-dependent stability for systems with fast-varying neutral-type delays via a PTVD compensation

Zidonghua Xuebao/ Acta Automatica Sinica

Volumn 36, Issue 1, 2010, Pages 147-152

  Liu, Zhen Wei ^a,b   Zhang, Hua Guang ^a,b  

^a BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^b NORTHEASTERN UNIVERSITY   (China)

Author keywords

Delay dependent; Fast varying neutral type delay; Linear neutral systems; Polynomials with time varying delay (PTVD) compensation technique; Stability

Indexed keywords

COMPENSATION TECHNIQUES; DELAY-DEPENDENT; LINEAR NEUTRAL SYSTEMS; NEUTRAL-TYPE DELAY; TIME-VARYING DELAY;

LYAPUNOV FUNCTIONS; NONLINEAR CONTROL SYSTEMS; POLYNOMIALS; SYSTEM STABILITY; THREE TERM CONTROL SYSTEMS; TIME VARYING CONTROL SYSTEMS;

STABILITY CRITERIA;

EID: 77649198069     PISSN: 02544156     EISSN: None     Source Type: Journal    
DOI: 10.3724/SP.J.1004.2010.00147     Document Type: Article

References (28)

1. Kuang Y. Delay Differential Equations with Applications in Population Dynamics. Boston: Academic Press, 1993.
2. Brayton R K. Small-signal stability criterion for electrical networks containing lossless transmission lines. IBM Journal of Research and Development, 1968, 12(6): 431-440.
3. Niculescu S I. Delay Effects on Stability: A Robust Control Approach. Berlin: Springer, 2001.
4. Yue D, Han Q L. A delay-dependent stability criterion of neutral systems and its application to a partial element equivalent circuit model. IEEE Transactions on Circuits and Systems II: Express Briefs, 2004, 51(12): 685-689.
5. Hale J K, Lunel S M V. Introduction to Functional Differential Equations. New York: Springer, 1993.
6. ∞ control of linear time-delay systems. IEEE Transactions on Automatic Control, 2002, 47(2): 253-270.
7. ∞ control: constant and time-varying delays. International Journal of Control, 2003, 76(1): 48-60.
8. Han Q L. On robust stability of neutral systems with time-varying discrete delay and norm-bounded uncertainty. Automatica, 2004, 40(6): 1087-1092.
9. Han Q L. On stability of linear neutral systems with mixed time delays: a discretized Lyapunov functional approach. Automatica, 2005, 41(7): 1209-1218.
10. He Y, Wu M, She J H, Liu G P. Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays. Systems and Control Letters, 2004, 51(1): 57-65.
11. Wu M, He Y, She J H. New delay-dependent stability criteria and stabilitzing method for neutral systems. IEEE Transactions on Automatic Control, 2004, 49(12): 2266-2271.
12. Fu P L, Niculescu S I, Chen J. Stability of linear neutral time-delay systems: exact conditions via matrix pencil solutions. IEEE Transactions on Automatic Control, 2006, 51(6): 1063-1069.
13. Hu G D, Liu M Z. Stability criteria of linear neutral systems with multiple delays. IEEE Transactions on Automatic Control, 2007, 52(4): 720-724.
14. He Y, Wang Q G, Xie L H, Lin C. Further improvement of free-weighting matrices technique for systems with time-varying delay. IEEE Transactions on Automatic Control, 2007, 52(2): 293-299.
15. He Y, Liu G P, Rees D, Wu M. Stability analysis for neural networks with time-varying interval delay. IEEE Transactions on Neural Networks, 2007, 18(6): 1850-1854.
16. He Y, Wang Q G, Lin C, Wu M. Augmented Lyapunov functional and delay-dependent stability criteria for neutral systems. International Journal of Robust and Nonlinear Control, 2005, 15(18): 923-933.
17. Parlakci M, Null M N. Extensively augmented Lyapunov functional approach for the stability of neutral time-delay systems. IET Control Theory and Applications, 2008, 2(5): 431-436.
18. Li X G, Zhu X J. Stability analysis of neutral systems with distributed delays. Automatica, 2008, 44(8): 2197-2201.
19. Zhao Z R, Wang W, Yang B. Delay and its time-derivative dependent robust stability of neutral control system. Applied Mathematics and Computation, 2007, 187(2): 1326-1332.
20. Zhang Wen-An, Yu Li. Delay-dependent robust stability of neutral systems with mixed delays and nonlinear perturbations. Acta Automatica Sinica, 2007, 33(8): 863-866.
21. Chen W H, Zheng W X. Delay-dependent robust stabilization for uncertain neutral systems with distributed delays. Automatica, 2007, 43(1): 95-104.
22. Yu K W, Lien C H. Stability criteria for uncertain neutral systems with interval time-varying delays. Chaos, Solitons and Fractals, 2008, 38(3): 650-657.
23. Han Q L. A new delay-dependent absolute stability criterion for a class of nonlinear neutral systems. Automatica, 2008, 44(1): 272-277.
24. Gu K Q, Kharitonov V, Chen J. Stability of Time-delay Systems. Cambridge: Birkhauser, 2003.
25. Park P, Ko J W. Stability and robust stability for systems with a time-varying delay. Automatica, 2007, 43(10): 1855-1858.
26. Zhu X L, Yang G H. New delay-dependent stability results for neural networks with time-varying delay. IEEE Transactions on Neural Networks, 2008, 19(10): 1783-1791.
27. Chen Y G, Wu Y Y. Novel delay-dependent stability criteria of neural networks with time-varying delay. Neurocomputing, 2009, 72(4-6): 1065-1070.
28. ∞ control for T-S fuzzy system with interval time-varying delay. Fussy Sets and Systems, 2009, 160(12): 1708-1719.